\u672c\u6587\u6863\u91c7\u7528\u4e09\u6bb5\u5f0f\u7ed3\u6784：\u6bcf\u8282\u5148\u7ed9\u51fa\u82f1\u6587\u539f\u6587，\u518d\u7ed9\u51fa\u4e2d\u6587\u7ffb\u8bd1，\u6700\u540e\u7ed9\u51fa\u8be6\u7ec6\u89e3\u91ca\u8bf4\u660e\u3002
\n\u672c\u7ae0\u628a\u7b2c3\u7ae0\u7684\u673a\u5236\u5c01\u88c5\u4e3a"\u7ec4\u4ef6"，\u7ed9\u51fa\u52a8\u6001\u7ec4\u5408\u6f14\u7b97，\u5e76\u8bc1\u660e\u5176\u5143\u7406\u8bba\u6027\u8d28\u3002<\/p>\n
This section fixes the objects the rules act on: the component; the fiber, an instantiation of a component carrying a lifecycle state of its own; and the registry, which holds the fibers a state carries and from which the coeffect context is read off.<\/p>\n
Definition 43. A component over a context \u0393 carrying both effects and coeffects is defined as:
\n\u212d\u0393 \u2254 𝔇\u0393 \u00d7 𝔓\u0393 \u00d7 𝔈\u2217\u0393, representing a triple (𝑑, 𝑝, 𝑒), where:<\/p>\n
The two declarations are the two directions of one interface, 𝑑 what the component reads from the environment and 𝑝 what the component writes to the environment, and Section 4.2 admits no two fibers of one registry whose provisions meet. Disjointness of provisions is where this chapter parts company with Section 3.2.3. The isolation of Definition 28 lets one key resolve through a realm table, so that two fibers may provide the same key in different realms; a calculus carrying realms would relax disjointness to disjointness within a realm. We read every key at one shared realm instead, which makes disjointness the right condition and each key\u2019s provider unique. What it restricts is how often a component may be instantiated: one with a non-empty provision has one fiber at a time.<\/p>\n
Definition 44. Fix a set 𝔑 of fiber names. A fiber instantiating the component (𝑑, 𝑝, 𝑒) is a tuple \u27e8𝑑, 𝑝, 𝑒, 𝜋, 𝜎, 𝜏, 𝜃\u27e9, where:<\/p>\n
The committed view 𝜔 sends each key the fiber declares to the name of the fiber that provided it when the transition committed.<\/p>\n
Definition 45. Write 𝔉\u0393 for the set of fibers over \u0393. A state 𝛾 \u2208 \u0393 carries a registry 𝐹𝛾 : 𝔑 \u21c0 𝔉\u0393, a finite partial function whose parent pointers form a tree rooted at 𝗋𝗈𝗈𝗍, together with whatever else in \u0393 no fiber\u2019s 𝜎 names.<\/p>\n
Each fiber owning a table means the coeffect context is derived rather than stored: it is what the active fibers jointly provide:
\n𝜎𝛾 \u2254 \u22c3{𝜎𝑚 | 𝑚 \u2208 dom(𝐹𝛾), 𝜃𝑚 = 𝖠𝖼𝗍𝗂𝗏𝖾(\u2212, \u2212)}
\nThe union is well defined because a fiber writes only the keys it declares and the provisions of distinct fibers are disjoint, so each key lies in the table of exactly one 𝖠𝖼𝗍𝗂𝗏𝖾 fiber, whose name we write provider𝑘(𝛾) and call the provider of 𝑘. Each key therefore has one possible provider, fixed by the provisions and not by the state.<\/p>\n
\u672c\u8282\u56fa\u5b9a\u4e86\u89c4\u5219\u6240\u4f5c\u7528\u7684\u5bf9\u8c61：\u7ec4\u4ef6（component）；\u7ea4\u7ef4（fiber），\u5373\u4e00\u4e2a\u7ec4\u4ef6\u7684\u5b9e\u4f8b\u5316\u3001\u81ea\u8eab\u5e26\u6709\u4e00\u4e2a\u751f\u547d\u5468\u671f\u72b6\u6001；\u4ee5\u53ca\u6ce8\u518c\u8868（registry），\u5b83\u4fdd\u5b58\u72b6\u6001\u6240\u643a\u5e26\u7684\u7ea4\u7ef4，\u5e76\u4e14\u534f\u540c\u6548\u5e94\u4e0a\u4e0b\u6587（coeffect context）\u5c31\u662f\u4ece\u4e2d\u8bfb\u51fa\u7684\u3002<\/p>\n
\u5b9a\u4e49 43\u3002 \u5728\u540c\u65f6\u643a\u5e26\u6548\u5e94（effect）\u4e0e\u534f\u540c\u6548\u5e94（coeffect）\u7684\u4e0a\u4e0b\u6587 \u0393 \u4e0a，\u4e00\u4e2a\u7ec4\u4ef6\u5b9a\u4e49\u4e3a \u212d\u0393 \u2254 𝔇\u0393 \u00d7 𝔓\u0393 \u00d7 𝔈\u2217\u0393，\u8868\u793a\u4e09\u5143\u7ec4 (𝑑, 𝑝, 𝑒)，\u5176\u4e2d：<\/p>\n
\u8fd9\u4e24\u4e2a\u58f0\u660e\u662f\u540c\u4e00\u63a5\u53e3\u7684\u4e24\u4e2a\u65b9\u5411：𝑑 \u662f\u7ec4\u4ef6\u4ece\u73af\u5883\u8bfb\u53d6\u7684\u90e8\u5206，𝑝 \u662f\u7ec4\u4ef6\u5411\u73af\u5883\u5199\u5165\u7684\u90e8\u5206\u3002\u7b2c4.2\u8282\u4e0d\u5141\u8bb8\u540c\u4e00\u6ce8\u518c\u8868\u4e2d\u4e24\u4e2a\u7ea4\u7ef4\u7684\u4f9b\u7ed9\u76f8\u4ea4\u3002\u4f9b\u7ed9\u7684\u4e0d\u76f8\u4ea4\u6027（disjointness of provisions）\u6b63\u662f\u672c\u7ae0\u4e0e\u7b2c3.2.3\u8282\u5206\u9053\u626c\u9573\u4e4b\u5904：\u5b9a\u4e4928\u7684\u9694\u79bb\u6027\u5141\u8bb8\u4e00\u4e2a\u952e\u901a\u8fc7\u57df\u8868（realm table）\u89e3\u6790，\u4f7f\u4e24\u4e2a\u7ea4\u7ef4\u53ef\u5728\u4e0d\u540c\u57df\u4e2d\u63d0\u4f9b\u540c\u4e00\u952e；\u800c\u672c\u7ae0\u5728\u5355\u4e00\u5171\u4eab\u57df\u4e2d\u8bfb\u53d6\u6bcf\u4e2a\u952e，\u4ece\u800c\u4f7f\u4e0d\u76f8\u4ea4\u6027\u6210\u4e3a\u6b63\u786e\u6761\u4ef6，\u4e14\u6bcf\u4e2a\u952e\u7684\u63d0\u4f9b\u8005\u552f\u4e00\u3002\u8fd9\u9650\u5236\u7684\u662f\u7ec4\u4ef6\u88ab\u5b9e\u4f8b\u5316\u7684\u9891\u6b21：\u4f9b\u7ed9\u975e\u7a7a\u7684\u7ec4\u4ef6\u4e00\u6b21\u53ea\u80fd\u6709\u4e00\u4e2a\u7ea4\u7ef4\u3002<\/p>\n
\u5b9a\u4e49 44\u3002 \u56fa\u5b9a\u7ea4\u7ef4\u540d\u96c6\u5408 𝔑\u3002\u5b9e\u4f8b\u5316\u7ec4\u4ef6 (𝑑, 𝑝, 𝑒) \u7684\u4e00\u4e2a\u7ea4\u7ef4\u662f\u5143\u7ec4 \u27e8𝑑, 𝑝, 𝑒, 𝜋, 𝜎, 𝜏, 𝜃\u27e9，\u5176\u4e2d：<\/p>\n
\u5df2\u63d0\u4ea4\u89c6\u56fe 𝜔 \u628a\u7ea4\u7ef4\u58f0\u660e\u7684\u6bcf\u4e2a\u952e\u6620\u5c04\u5230\u8f6c\u6362\u63d0\u4ea4\u65f6\u63d0\u4f9b\u8be5\u952e\u7684\u7ea4\u7ef4\u540d\u3002<\/p>\n
\u5b9a\u4e49 45\u3002 \u8bb0 𝔉\u0393 \u4e3a \u0393 \u4e0a\u7684\u7ea4\u7ef4\u96c6\u5408\u3002\u72b6\u6001 𝛾 \u2208 \u0393 \u643a\u5e26\u6ce8\u518c\u8868 𝐹𝛾 : 𝔑 \u21c0 𝔉\u0393，\u8fd9\u662f\u4e00\u4e2a\u6709\u9650\u504f\u51fd\u6570，\u5176\u7236\u6307\u9488\u6784\u6210\u4ee5 𝗋𝗈𝗈𝗍 \u4e3a\u6839\u7684\u6811，\u5916\u52a0 \u0393 \u4e2d\u6ca1\u6709\u4efb\u4f55\u7ea4\u7ef4\u7684 𝜎 \u6240\u547d\u540d\u7684\u5176\u4f59\u90e8\u5206\u3002<\/p>\n
\u6bcf\u4e2a\u7ea4\u7ef4\u62e5\u6709\u81ea\u5df1\u7684\u8868\u610f\u5473\u7740\u534f\u540c\u6548\u5e94\u4e0a\u4e0b\u6587\u662f\u6d3e\u751f\u7684\u800c\u975e\u5b58\u50a8\u7684：\u5b83\u5c31\u662f\u6240\u6709\u6fc0\u6d3b\u7ea4\u7ef4\u5171\u540c\u63d0\u4f9b\u7684：
\n𝜎𝛾 \u2254 \u22c3{𝜎𝑚 | 𝑚 \u2208 dom(𝐹𝛾), 𝜃𝑚 = 𝖠𝖼𝗍𝗂𝗏𝖾(\u2212, \u2212)}
\n\u8be5\u5e76\u96c6\u662f\u826f\u5b9a\u4e49\u7684，\u56e0\u4e3a\u7ea4\u7ef4\u53ea\u5199\u5b83\u58f0\u660e\u7684\u952e，\u4e14\u4e0d\u540c\u7ea4\u7ef4\u7684\u4f9b\u7ed9\u4e0d\u76f8\u4ea4，\u6240\u4ee5\u6bcf\u4e2a\u952e\u6070\u5b58\u5728\u4e8e\u4e00\u4e2a\u6fc0\u6d3b\u7ea4\u7ef4\u7684\u8868\u4e2d，\u5176\u540d\u8bb0\u4e3a provider𝑘(𝛾)，\u79f0\u4e3a\u8be5\u952e\u7684\u63d0\u4f9b\u8005\u3002\u56e0\u6b64\u6bcf\u4e2a\u952e\u6709\u552f\u4e00\u7684\u53ef\u80fd\u63d0\u4f9b\u8005，\u7531\u4f9b\u7ed9\u800c\u975e\u72b6\u6001\u56fa\u5b9a\u3002<\/p>\n
\u672c\u8282\u786e\u7acb\u4e86\u6574\u4e2a\u7b2c4\u7ae0\u7684\u5bf9\u8c61\u6a21\u578b，\u6838\u5fc3\u662f\u628a\u7b2c3\u7ae0\u91cc"\u6548\u5e94 + \u534f\u540c\u6548\u5e94"\u7684\u673a\u5236\u5c01\u88c5\u6210\u4e00\u4e2a\u53ef\u547d\u540d\u3001\u53ef\u5b9e\u4f8b\u5316\u3001\u5e26\u751f\u547d\u5468\u671f\u7684"\u7ec4\u4ef6\u7ea4\u7ef4"\u3002\u7406\u89e3\u8fd9\u4e00\u8282\u7684\u5173\u952e\u662f\u628a\u63e1\u4e09\u4ef6\u4e8b\u7684\u5bf9\u5e94\u5173\u7cfb：<\/p>\n
\u7b2c\u4e00，\u7ec4\u4ef6 = effect + coeffect + \u8ba1\u7b97\u4f53\u7684\u4e09\u5143\u7ec4\u3002 \u4e00\u4e2a\u7ec4\u4ef6 (𝑑, 𝑝, 𝑒) \u662f\u4e00\u4e2a"\u63a5\u53e3\u7684\u4e24\u9762"：𝑑（coeffect specification，\u534f\u540c\u6548\u5e94\u89c4\u7ea6）\u58f0\u660e\u5b83\u8981\u4ece\u73af\u5883\u8bfb\u4ec0\u4e48\u4f9d\u8d56，𝑝（provision，\u4f9b\u7ed9）\u58f0\u660e\u5b83\u53ef\u80fd\u5411\u73af\u5883\u5199\u54ea\u4e9b\u952e，𝑒（witnessed effect function，\u88ab\u89c1\u8bc1\u7684\u6548\u5e94\u51fd\u6570）\u662f\u771f\u6b63\u6267\u884c\u526f\u4f5c\u7528\u5e76\u4ea7\u751f\u4e00\u4e2a\u9006\u51fd\u6570\u7684\u8ba1\u7b97\u4f53\u3002\u8fd9\u975e\u5e38\u50cf\u73b0\u5b9e\u4e2d\u7684\u4f9d\u8d56\u6ce8\u5165（dependency injection）\u58f0\u660e：𝑑 \u662f"\u6211\u9700\u8981\u4ec0\u4e48"（\u6bd4\u5982\u9700\u8981\u4e00\u4e2a\u6570\u636e\u5e93\u8fde\u63a5\u6c60\u3001\u4e00\u4e2a\u914d\u7f6e\u9879），𝑝 \u662f"\u6211\u63d0\u4f9b\u4ec0\u4e48"（\u6bd4\u5982\u6211\u63d0\u4f9b\u4e00\u4e2a logger\u3001\u4e00\u4e2a cache），𝑒 \u662f"\u6211\u6fc0\u6d3b\u65f6\u5efa\u7acb\u8fd9\u4e9b\u8d44\u6e90\u3001\u9000\u5f79\u65f6\u56de\u6536\u5b83\u4eec"\u7684\u4ee3\u7801\u3002𝑒 \u4e4b\u6240\u4ee5\u662f"\u88ab\u89c1\u8bc1\u7684"（witnessed），\u662f\u56e0\u4e3a\u5b83\u4e0d\u4ec5\u8981\u8fd4\u56de\u65b0\u7684\u4e0a\u4e0b\u6587，\u8fd8\u8981\u8fd4\u56de\u4e00\u4e2a\u80fd\u7cbe\u786e\u8fd8\u539f\u7684\u9006\u51fd\u6570\u2014\u2014\u8fd9\u6b63\u662f\u7b2c3\u7ae0\u6062\u590d\u7cbe\u786e\u6027（recovery exactness）\u5728\u7ec4\u4ef6\u5c42\u7684\u5ef6\u7eed\u3002<\/p>\n
\u7b2c\u4e8c，\u7ea4\u7ef4 = \u7ec4\u4ef6\u7684\u4e00\u6b21\u5b9e\u4f8b\u5316 + \u72ec\u7acb\u7684\u751f\u547d\u5468\u671f\u3002 \u540c\u4e00\u4e2a\u7ec4\u4ef6\u53ef\u4ee5\u88ab\u591a\u6b21\u5b9e\u4f8b\u5316，\u6bcf\u6b21\u5b9e\u4f8b\u5316\u90fd\u662f\u4e00\u4e2a\u7ea4\u7ef4，\u643a\u5e26\u81ea\u5df1\u7684\u534f\u540c\u6548\u5e94\u8868 𝜎\u3001\u9000\u5f79\u6807\u5fd7 𝜏\u3001\u751f\u547d\u5468\u671f\u72b6\u6001 𝜃，\u4ee5\u53ca\u7236\u6307\u9488 𝜋\u3002\u8fd9\u5bf9\u5e94 Cordis\/DSH \u5b9e\u8df5\u4e2d"\u540c\u4e00\u4e2a\u63d2\u4ef6\u7c7b\u53ef\u4ee5\u88ab\u88c5\u8f7d\u591a\u4e2a\u5b9e\u4f8b"\u7684\u80fd\u529b：\u6bd4\u5982\u4e00\u4e2a\u63d2\u4ef6\u5bbf\u4e3b\u53ef\u4ee5\u540c\u65f6\u8fd0\u884c\u591a\u4e2a\u914d\u7f6e\u4e0d\u540c\u7684\u540c\u4e00\u63d2\u4ef6\u3002\u7236\u6307\u9488 𝜋 \u628a\u6240\u6709\u7ea4\u7ef4\u7ec4\u7ec7\u6210\u4e00\u68f5\u4ee5 𝗋𝗈𝗈𝗍 \u4e3a\u6839\u7684\u6811，\u8fd9\u6b63\u662f"\u8c01\u88c5\u8f7d\u4e86\u8c01"\u7684\u56e0\u679c\u94fe\u2014\u2014\u5bf9\u5e94 DSH \u91cc\u4e00\u4e2a agent \u4f1a\u8bdd\u542f\u52a8\u5b50 agent\u3001\u5b50 agent \u518d\u542f\u52a8\u5b59 agent \u7684\u5c42\u7ea7\u5173\u7cfb\u3002\u5df2\u63d0\u4ea4\u89c6\u56fe 𝜔 \u662f\u4e00\u4e2a\u7cbe\u5de7\u8bbe\u8ba1：\u5b83\u8bb0\u5f55\u7684\u4e0d\u662f"\u952e\u7684\u503c"，\u800c\u662f"\u63d0\u4f9b\u8be5\u952e\u7684\u7ea4\u7ef4\u540d"，\u8fd9\u6837\u6bd4\u8f83\u89c6\u56fe\u65f6\u4e0d\u4f1a\u88ab"\u503c\u76f8\u7b49\u4f46\u63d0\u4f9b\u8005\u4e0d\u540c"\u7684\u60c5\u51b5\u6b3a\u9a97\u2014\u2014\u8fd9\u4e0e\u5b9e\u73b0\u4e2d fiber.committed \u6301\u6709\u6620\u5c04\u3001fiber.target \u6301\u6709\u5176\u54c8\u5e0c（\u7b2c5.1.3\u8282）\u76f4\u63a5\u5bf9\u5e94\u3002<\/p>\n
\u7b2c\u4e09，\u6ce8\u518c\u8868\u4e0e\u6d3e\u751f\u7684\u534f\u540c\u6548\u5e94\u4e0a\u4e0b\u6587\u3002 \u72b6\u6001 𝛾 \u7684\u534f\u540c\u6548\u5e94\u4e0a\u4e0b\u6587 𝜎𝛾 \u4e0d\u662f\u5355\u72ec\u5b58\u50a8\u7684，\u800c\u662f\u5bf9\u6240\u6709\u6fc0\u6d3b\u7ea4\u7ef4\u7684\u8868\u53d6\u5e76\u96c6\u6d3e\u751f\u51fa\u6765\u7684\u3002\u8fd9\u6709\u4e00\u4e2a\u6df1\u523b\u540e\u679c：\u4e00\u4e2a\u6b63\u5728\u5378\u8f7d（𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀）\u6216\u6b63\u5728\u91cd\u8f7d（𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀）\u7684\u7ea4\u7ef4，\u5373\u4f7f\u5b83\u7684\u8868\u91cc\u8fd8\u7559\u7740\u503c，\u4e5f\u4e0d\u4f1a\u88ab\u8ba1\u5165 𝜎𝛾\u2014\u2014\u53ea\u6709\u771f\u6b63 𝖠𝖼𝗍𝗂𝗏𝖾 \u7684\u7ea4\u7ef4\u624d\u5bf9\u4ed6\u4eba\u53ef\u89c1\u3002\u8fd9\u6b63\u662f\u540e\u7eed 4.3.1 \u64a4\u56de\u987a\u5e8f\u5f97\u4ee5\u6210\u7acb\u7684\u57fa\u7840\u3002\u4f9b\u7ed9\u4e0d\u76f8\u4ea4（disjointness of provisions）\u5219\u5bf9\u5e94"\u5355\u4e00\u6765\u6e90"（single-source）\u7eaa\u5f8b：\u4e00\u4e2a\u952e\u5728\u6574\u4e2a\u6ce8\u518c\u8868\u91cc\u53ea\u6709\u4e00\u4e2a\u53ef\u80fd\u7684\u63d0\u4f9b\u8005，\u7f16\u6392\u8005\u4e0d\u80fd\u63a5\u7eb3\u7b2c\u4e8c\u4e2a\u58f0\u660e\u540c\u4e00\u952e\u7684\u7ec4\u4ef6\u3002\u8fd9\u4e0e\u7b2c3.2.3\u8282\u7684\u57df\u9694\u79bb（realm isolation）\u5f62\u6210\u5bf9\u6bd4\u2014\u2014\u57df\u9694\u79bb\u5141\u8bb8\u540c\u952e\u591a\u63d0\u4f9b\u8005，\u4f46\u672c\u7ae0\u4e3a\u4e86\u6f14\u7b97\u7684\u7b80\u6d01\u9009\u62e9\u4e86\u5355\u4e00\u5171\u4eab\u57df\u3002\u5de5\u7a0b\u4e0a，\u8fd9\u610f\u5473\u7740 Cordis \u91cc\u540c\u540d\u670d\u52a1\u7684"\u6700\u540e\u6ce8\u518c\u8005\u80dc\u51fa"\u6216"\u591a\u5b9e\u4f8b\u5171\u5b58"\u662f\u88ab\u7981\u6b62\u7684：\u8981\u4e48\u7528\u4e0d\u540c\u7684\u952e，\u8981\u4e48\u663e\u5f0f\u5206\u57df\u3002\u8fd9\u6b63\u662f\u7ec4\u4ef6\u751f\u547d\u5468\u671f\u3001\u4f9d\u8d56\u89e3\u6790\u5f97\u4ee5\u9759\u6001\u63a8\u7406\u7684\u524d\u63d0\u3002<\/p>\n
This section gives the calculus of the two-state lifecycle of Figure 1 and nothing more: the target each fiber is compared against, and the five rules that move it.<\/p>\n
Definition 46. The target view of 𝑛 at 𝛾 maps each declared key to its provider, so it is a total map 𝑑𝑛 \u2192 𝔑, and is \u22a5 when 𝑛 ought not to be running at all:
\ntarget𝑛(𝛾) \u2254 { \u22a5 if 𝜏𝑛 \u2228 \u00ac(𝛾 \u22a7 𝑑𝑛); (𝑘 \u2208 𝑑𝑛) \u21a6 provider𝑘(𝛾) otherwise }
\nA state is quiescent when every fiber has reached its target view:
\nquiet(𝛾) \u2254 \u2200𝑛 \u2208 dom(𝐹𝛾). { target𝑛(𝛾) = \u22a5 if 𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾; target𝑛(𝛾) = 𝜔𝑛 if 𝜃𝑛 = 𝖠𝖼𝗍𝗂𝗏𝖾(\u2212, 𝜔𝑛) }<\/p>\n
Rules. The base calculus takes each transition to be atomic, immediate, and infallible. Five rules generate two relations. An orchestration rule, prefixed O- and written 𝛾 \u21d2 𝛿, is an action the orchestrator may perform. A lifecycle rule, prefixed L- and written 𝛾 \u27f6 𝛿, is a step the system takes unprompted whenever its premises hold.<\/p>\n
𝑛 \u2209 dom(𝐹𝛾) 𝜋 \u2208 dom(𝐹𝛾) \u222a {𝗋𝗈𝗈𝗍} (𝑑,𝑝,𝑒) \u2208 \u212d\u0393 \u2200𝑚 \u2208 dom(𝐹𝛾). 𝑝 \u2229 𝑝𝑚 = \u2300
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 O-Insert
\n𝛾 \u21d2 𝛾[𝑛 \u21a6 \u27e8𝑑,𝑝,𝑒,𝜋,\u2300,\u22a5,𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾\u27e9]<\/p>\n
𝑛 \u2208 dom(𝐹𝛾)
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 O-Retire
\n𝛾 \u21d2 𝛾[𝜏𝑛 \u21a6 \u22a4]<\/p>\n
𝜏𝑛 = \u22a4 𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 \u2200𝑚. 𝜋𝑚 \u2260 𝑛
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 O-Remove
\n𝛾 \u21d2 𝛾 \u2216 𝑛<\/p>\n
𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 𝜔 = target𝑛(𝛾) \u2260 \u22a5 𝑒𝑛(𝛾) = (𝛿, 𝑔)
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 L-Reload
\n𝛾 \u27f6 𝛿[𝜃𝑛 \u21a6 𝖠𝖼𝗍𝗂𝗏𝖾(𝑔, 𝜔)]<\/p>\n
𝜃𝑛 = 𝖠𝖼𝗍𝗂𝗏𝖾(𝑔, 𝜔) target𝑛(𝛾) \u2260 𝜔 𝑔(𝛾) = 𝛿
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 L-Unload
\n𝛾 \u27f6 𝛿[𝜃𝑛 \u21a6 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾]<\/p>\n
L-Reload installs the committed view alongside the inverse; L-Unload applies the inverse and discards the committed view. Both are driven by the same comparison: L-Reload fires when a fiber holds no committed view and its target view is not \u22a5, L-Unload when the committed view it holds is not its target view. This is the reactive discipline of Section 3.2, read off a target that answers to retirement as well as to the coeffects: a transition is initiated whenever the target view changes, regardless of which of the two moved it.<\/p>\n
Definition 47. An application of 𝑒𝑛, or one of its iterations where Section 4.3.2 applies, may register a component (𝑑, 𝑝, 𝑒) \u2208 \u212d\u0393. In place of a state map it takes the O-Insert of that component with 𝜋 = 𝑛, and it yields as its inverse the O-Retire of the fiber so registered.<\/p>\n
Definition 48 (Confinement). A map 𝑓 : \u0393 \u2192 \u0393 is confined to 𝑛 when: (1) Writes: dom(𝐹𝛿) = dom(𝐹𝛾), 𝛿(𝑚) = 𝛾(𝑚) for every 𝑚 \u2260 𝑛, and 𝛿(𝑛) and 𝛾(𝑛) differ in 𝜎 alone; (2) Reads: two states agreeing on 𝜎𝑛, on the restrictions 𝜎𝑚|𝑑𝑛 for every 𝑚, and on the part of the state that no fiber\u2019s table names are carried by 𝑓 to states agreeing on the same three. An effect function 𝑒 is confined to 𝑛 when every application either registers a component or has both its state map and the inverse it yields confined to 𝑛. Every fiber\u2019s effect function is required to be confined to that fiber.<\/p>\n
\u672c\u8282\u7ed9\u51fa\u56fe1\u4e24\u6001\u751f\u547d\u5468\u671f\u7684\u6f14\u7b97，\u4ec5\u6b64\u800c\u5df2：\u6bcf\u4e2a\u7ea4\u7ef4\u88ab\u6bd4\u8f83\u7684\u76ee\u6807，\u4ee5\u53ca\u79fb\u52a8\u5b83\u7684\u4e94\u6761\u89c4\u5219\u3002<\/p>\n
\u5b9a\u4e49 46\u3002 \u7ea4\u7ef4 𝑛 \u5728\u72b6\u6001 𝛾 \u7684\u76ee\u6807\u89c6\u56fe（target view）\u628a\u6bcf\u4e2a\u58f0\u660e\u7684\u952e\u6620\u5c04\u5230\u5176\u63d0\u4f9b\u8005，\u56e0\u6b64\u662f\u4e00\u4e2a\u5168\u6620\u5c04 𝑑𝑛 \u2192 𝔑；\u5f53 𝑛 \u6839\u672c\u4e0d\u8be5\u8fd0\u884c\u65f6\u53d6 \u22a5：
\ntarget𝑛(𝛾) \u2254 { \u82e5 𝜏𝑛 \u2228 \u00ac(𝛾 \u22a7 𝑑𝑛) \u5219 \u22a5；\u5426\u5219 (𝑘 \u2208 𝑑𝑛) \u21a6 provider𝑘(𝛾) }
\n\u5f53\u4e00\u4e2a\u72b6\u6001\u4e2d\u6bcf\u4e2a\u7ea4\u7ef4\u90fd\u5df2\u8fbe\u5230\u5176\u76ee\u6807\u89c6\u56fe\u65f6，\u8be5\u72b6\u6001\u662f\u9759\u6b62\u7684（quiescent）：
\nquiet(𝛾) \u2254 \u2200𝑛 \u2208 dom(𝐹𝛾). { \u82e5 𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 \u5219 target𝑛(𝛾) = \u22a5；\u82e5 𝜃𝑛 = 𝖠𝖼𝗍𝗂𝗏𝖾(\u2212, 𝜔𝑛) \u5219 target𝑛(𝛾) = 𝜔𝑛 }<\/p>\n
\u89c4\u5219\u3002 \u57fa\u7840\u6f14\u7b97\u628a\u6bcf\u6b21\u8f6c\u6362\u90fd\u89c6\u4f5c\u539f\u5b50\u7684（atomic）\u3001\u5373\u65f6\u7684（immediate）\u3001\u4e0d\u4f1a\u5931\u8d25\u7684（infallible）\u3002\u4e94\u6761\u89c4\u5219\u751f\u6210\u4e24\u4e2a\u5173\u7cfb\u3002\u7f16\u6392\u89c4\u5219（orchestration rule），\u524d\u7f00 O-，\u5199\u4f5c 𝛾 \u21d2 𝛿，\u662f\u7f16\u6392\u8005\u53ef\u4ee5\u6267\u884c\u7684\u52a8\u4f5c；\u5176\u524d\u63d0\u8bf4\u660e\u8be5\u52a8\u4f5c\u4f55\u65f6\u5408\u6cd5，\u800c\u975e\u4f55\u65f6\u53d1\u751f\u3002\u751f\u547d\u5468\u671f\u89c4\u5219（lifecycle rule），\u524d\u7f00 L-，\u5199\u4f5c 𝛾 \u27f6 𝛿，\u662f\u53ea\u8981\u524d\u63d0\u6210\u7acb\u7cfb\u7edf\u4fbf\u65e0\u9700\u50ac\u4fc3\u81ea\u884c\u8fc8\u51fa\u7684\u4e00\u6b65\u3002<\/p>\n
O-Insert（\u63d2\u5165）： \u5728\u540d 𝑛 \u4e0d\u5728\u6ce8\u518c\u8868\u4e2d\u3001\u7236 𝜋 \u5b58\u5728（\u6216\u4e3a\u6839）\u3001\u7ec4\u4ef6\u5408\u6cd5\u3001\u4e14\u5176\u4f9b\u7ed9 𝑝 \u4e0e\u6ce8\u518c\u8868\u4e2d\u6240\u6709\u73b0\u6709\u7ea4\u7ef4\u7684\u4f9b\u7ed9\u4e0d\u76f8\u4ea4\u7684\u524d\u63d0\u4e0b，\u63d2\u5165\u4e00\u4e2a\u521d\u59cb\u4e3a 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 \u7684\u65b0\u7ea4\u7ef4\u3002\u8fd9\u662f\u7f16\u6392\u8005"\u8ba9\u4e00\u4e2a\u7ec4\u4ef6\u5b58\u5728"\u7684\u552f\u4e00\u5165\u53e3\u3002<\/p>\n
O-Retire（\u9000\u5f79）： \u53ea\u8981 𝑛 \u5728\u6ce8\u518c\u8868\u4e2d，\u5c31\u5c06\u5176\u9000\u5f79\u6807\u5fd7 𝜏𝑛 \u7f6e\u4e3a \u22a4\u3002\u9000\u5f79\u662f\u4e00\u4e2a\u8bf7\u6c42，\u4e0e\u7ea4\u7ef4\u5f53\u524d\u72b6\u6001\u65e0\u5173\u2014\u2014\u771f\u6b63\u6267\u884c\u9000\u5f79\u7684\u662f\u751f\u547d\u5468\u671f\u89c4\u5219\u3002<\/p>\n
O-Remove（\u79fb\u9664）： \u5f53 𝑛 \u5df2\u9000\u5f79（𝜏𝑛 = \u22a4）\u3001\u5df2\u9759\u6b62（𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾）\u3001\u4e14\u6ca1\u6709\u7ea4\u7ef4\u4ee5 𝑛 \u4e3a\u7236（\u2200𝑚. 𝜋𝑚 \u2260 𝑛）\u65f6，\u4ece\u6ce8\u518c\u8868\u4e2d\u5220\u9664 𝑛\u3002\u9000\u5f79\u4e0e\u79fb\u9664\u5206\u79bb\u7684\u539f\u56e0\u662f：\u4e00\u4e2a\u5df2\u9000\u5f79\u4f46\u4ecd\u6fc0\u6d3b\u7684\u7ea4\u7ef4\u5fc5\u987b\u5148\u88ab\u53bb\u6fc0\u6d3b，\u63d0\u524d\u79fb\u9664\u4f1a\u4e22\u5f03\u7d2f\u52a0\u5668\u5e76\u9020\u6210\u6cc4\u6f0f\u3002<\/p>\n
L-Reload（\u91cd\u8f7d\/\u6fc0\u6d3b）： \u5f53\u7ea4\u7ef4\u5904\u4e8e 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾\u3001\u5176\u76ee\u6807\u89c6\u56fe 𝜔 \u2260 \u22a5\u3001\u4e14\u6267\u884c\u6548\u5e94\u51fd\u6570 𝑒𝑛(𝛾) \u5f97\u5230\u65b0\u72b6\u6001 𝛿 \u548c\u9006 𝑔 \u65f6，\u628a\u7ea4\u7ef4\u7f6e\u4e3a 𝖠𝖼𝗍𝗂𝗏𝖾(𝑔, 𝜔)\u3002\u5b83\u4e00\u5e76\u5b89\u88c5\u5df2\u63d0\u4ea4\u89c6\u56fe\u4e0e\u9006\u51fd\u6570\u3002<\/p>\n
L-Unload（\u5378\u8f7d\/\u53bb\u6fc0\u6d3b）： \u5f53\u7ea4\u7ef4\u5904\u4e8e 𝖠𝖼𝗍𝗂𝗏𝖾(𝑔, 𝜔)\u3001\u5176\u76ee\u6807\u89c6\u56fe\u5df2\u4e0d\u518d\u662f 𝜔\u3001\u4e14\u5e94\u7528\u9006 𝑔(𝛾) = 𝛿 \u65f6，\u628a\u7ea4\u7ef4\u7f6e\u4e3a 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾\u3002\u5b83\u5e94\u7528\u9006\u51fd\u6570\u5e76\u4e22\u5f03\u5df2\u63d0\u4ea4\u89c6\u56fe\u3002<\/p>\n
\u4e24\u6761\u89c4\u5219\u90fd\u7531\u540c\u4e00\u4e2a\u6bd4\u8f83\u9a71\u52a8：L-Reload \u5728\u7ea4\u7ef4\u6ca1\u6709\u5df2\u63d0\u4ea4\u89c6\u56fe\u4e14\u76ee\u6807\u89c6\u56fe\u975e \u22a5 \u65f6\u89e6\u53d1，L-Unload \u5728\u7ea4\u7ef4\u6301\u6709\u7684\u5df2\u63d0\u4ea4\u89c6\u56fe\u4e0d\u518d\u662f\u5176\u76ee\u6807\u89c6\u56fe\u65f6\u89e6\u53d1\u3002\u8fd9\u5c31\u662f\u7b2c3.2\u8282\u7684\u53cd\u5e94\u5f0f\u7eaa\u5f8b（reactive discipline），\u4ece\u4e00\u4e2a\u65e2\u54cd\u5e94\u9000\u5f79\u53c8\u54cd\u5e94\u534f\u540c\u6548\u5e94\u7684\u76ee\u6807\u89c6\u56fe\u4e2d\u8bfb\u51fa：\u6bcf\u5f53\u76ee\u6807\u89c6\u56fe\u53d8\u5316，\u65e0\u8bba\u54ea\u4e00\u65b9\u79fb\u52a8\u4e86\u5b83，\u90fd\u4f1a\u53d1\u8d77\u4e00\u6b21\u8f6c\u6362\u3002<\/p>\n
\u5b9a\u4e49 47\u3002 𝑒𝑛 \u7684\u4e00\u6b21\u5e94\u7528（\u6216\u5176\u57284.3.2\u8282\u7684\u67d0\u6b21\u8fed\u4ee3）\u53ef\u4ee5\u6ce8\u518c\u4e00\u4e2a\u7ec4\u4ef6 (𝑑, 𝑝, 𝑒)\u3002\u5b83\u4ee5\u8be5\u7ec4\u4ef6\u7684 O-Insert（\u53d6 𝜋 = 𝑛）\u66ff\u4ee3\u72b6\u6001\u6620\u5c04，\u5e76\u4ee5\u5176\u9006\u4ea7\u51fa\u8be5\u6ce8\u518c\u7ea4\u7ef4\u7684 O-Retire\u3002<\/p>\n
\u5b9a\u4e49 48（\u7ea6\u675f\u6027 confinement）\u3002 \u6620\u5c04 𝑓 : \u0393 \u2192 \u0393 \u53d7\u7ea6\u675f\u4e8e 𝑛 \u5f53\u4e14\u4ec5\u5f53：(1) \u5199：\u9664 𝑛 \u5916\u6240\u6709\u7ea4\u7ef4\u4e0d\u53d8，𝑛 \u81ea\u8eab\u53ea\u5728 𝜎 \u4e0a\u4e0d\u540c；(2) \u8bfb：\u5728 𝜎𝑛\u3001\u5404 𝜎𝑚|𝑑𝑛\u3001\u4ee5\u53ca\u65e0\u7ea4\u7ef4\u8868\u547d\u540d\u7684\u72b6\u6001\u90e8\u5206\u4e0a\u8fbe\u6210\u4e00\u81f4\u7684\u4e24\u4e2a\u72b6\u6001，\u7ecf 𝑓 \u540e\u4ecd\u5728\u540c\u6837\u7684\u4e09\u8005\u4e0a\u4e00\u81f4\u3002\u6548\u5e94\u51fd\u6570 𝑒 \u53d7\u7ea6\u675f\u4e8e 𝑛 \u5f53\u5176\u6bcf\u6b21\u5e94\u7528\u8981\u4e48\u6ce8\u518c\u4e00\u4e2a\u7ec4\u4ef6，\u8981\u4e48\u5176\u72b6\u6001\u6620\u5c04\u4e0e\u9006\u5747\u53d7\u7ea6\u675f\u4e8e 𝑛\u3002\u6bcf\u4e2a\u7ea4\u7ef4\u7684\u6548\u5e94\u51fd\u6570\u90fd\u8981\u6c42\u53d7\u7ea6\u675f\u4e8e\u8be5\u7ea4\u7ef4\u3002<\/p>\n
\u672c\u8282\u662f\u6574\u4e2a\u6f14\u7b97\u7684"\u9aa8\u67b6\u7248\u672c"\u2014\u2014\u53ea\u8003\u8651\u4e24\u6001\u751f\u547d\u5468\u671f（𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 \/ 𝖠𝖼𝗍𝗂𝗏𝖾），\u4e14\u628a\u6bcf\u6b21\u8f6c\u6362\u90fd\u5047\u8bbe\u4e3a\u539f\u5b50\u3001\u5373\u65f6\u3001\u4e0d\u4f1a\u5931\u8d25\u3002\u7406\u89e3\u672c\u8282\u7684\u5173\u952e\u662f\u6293\u4f4f"\u76ee\u6807\u89c6\u56fe\u9a71\u52a8"\u8fd9\u4e00\u53cd\u5e94\u5f0f\u6838\u5fc3：<\/p>\n
\u76ee\u6807\u89c6\u56fe（target view）\u662f\u6574\u4e2a\u7cfb\u7edf\u7684"\u6307\u6325\u68d2"\u3002 \u6bcf\u4e2a\u7ea4\u7ef4 𝑛 \u5728\u4efb\u610f\u72b6\u6001 𝛾 \u4e0b\u90fd\u6709\u4e00\u4e2a\u76ee\u6807\u89c6\u56fe target𝑛(𝛾)：\u5982\u679c\u5b83\u8be5\u8fd0\u884c，\u5c31\u662f\u628a\u5b83\u7684\u4f9d\u8d56\u952e 𝑑𝑛 \u89e3\u6790\u5230\u5404\u81ea\u63d0\u4f9b\u8005\u7684\u6620\u5c04；\u5982\u679c\u5b83\u4e0d\u8be5\u8fd0\u884c（\u88ab\u9000\u5f79\u4e86，\u6216\u4f9d\u8d56\u6ca1\u6ee1\u8db3），\u5c31\u662f \u22a5\u3002\u7cfb\u7edf\u9759\u6b62（quiescent）\u610f\u5473\u7740\u6bcf\u4e2a\u7ea4\u7ef4\u90fd\u5df2\u7ecf"\u5bf9\u9f50"\u4e86\u81ea\u5df1\u7684\u76ee\u6807\u89c6\u56fe\u2014\u2014\u8be5\u6fc0\u6d3b\u7684\u6fc0\u6d3b\u4e86\u3001\u8be5\u9759\u6b62\u7684\u9759\u6b62\u4e86\u3001\u4e14\u6fc0\u6d3b\u8005\u7684\u5df2\u63d0\u4ea4\u89c6\u56fe\u6070\u597d\u7b49\u4e8e\u76ee\u6807\u89c6\u56fe\u3002\u8fd9\u5c31\u50cf\u4e00\u4e2a\u6052\u6e29\u5668\u7cfb\u7edf：\u6bcf\u4e2a\u623f\u95f4\u7684\u76ee\u6807\u6e29\u5ea6\u662f\u7ed9\u5b9a\u7684，\u7cfb\u7edf\u4e0d\u65ad\u8c03\u6574\u76f4\u5230\u6240\u6709\u623f\u95f4\u90fd\u8fbe\u6807\u3002\u8fd9\u91cc\u7684"\u76ee\u6807"\u7531\u4e24\u4ef6\u4e8b\u51b3\u5b9a：\u9000\u5f79\u6807\u5fd7 𝜏𝑛（\u7f16\u6392\u8005\u7684\u610f\u5fd7）\u548c\u4f9d\u8d56\u6ee1\u8db3\u6027 𝛾 \u22a7 𝑑𝑛（\u73af\u5883\u7684\u72b6\u6001）\u3002\u6ce8\u610f\u76ee\u6807\u89c6\u56fe\u8bb0\u5f55\u7684\u662f\u63d0\u4f9b\u8005\u540d\u800c\u975e\u503c\u2014\u2014\u8fd9\u6b63\u662f\u4e3a\u4e86\u8ba9"\u540c\u4e00\u4e2a\u503c\u4f46\u4e0d\u540c\u63d0\u4f9b\u8005"\u4e5f\u80fd\u89e6\u53d1\u8f6c\u6362，\u5bf9\u5e94\u5b9e\u73b0\u91cc\u7528 fiber \u540d\u800c\u975e\u503c\u6bd4\u8f83\u3002<\/p>\n
\u4e94\u6761\u89c4\u5219\u5206\u6210\u4e24\u7c7b\u3002 \u4e09\u6761\u7f16\u6392\u89c4\u5219（O-Insert \/ O-Retire \/ O-Remove）\u662f\u5916\u90e8\u8f93\u5165：\u7f16\u6392\u8005\u53ea\u80fd"\u8bf7\u6c42\u4e00\u4e2a\u7ea4\u7ef4\u5b58\u5728\u6216\u505c\u6b62\u5b58\u5728"，\u4ece\u4e0d\u76f4\u63a5\u8bbe\u7f6e\u751f\u547d\u5468\u671f\u72b6\u6001\u3002\u8fd9\u5bf9\u5e94 Cordis\/DSH \u4e2d\u5bbf\u4e3b\u5bf9\u63d2\u4ef6\u7684\u64cd\u4f5c\u8bed\u4e49\u2014\u2014\u5bbf\u4e3b\u8bf4"\u88c5\u8f7d\u8fd9\u4e2a\u63d2\u4ef6"\u6216"\u5378\u8f7d\u90a3\u4e2a\u63d2\u4ef6"，\u4f46\u63d2\u4ef6\u5177\u4f53\u4f55\u65f6\u771f\u6b63\u6fc0\u6d3b\u3001\u4f55\u65f6\u771f\u6b63\u505c\u6b62，\u662f\u7cfb\u7edf\u81ea\u5df1\u6839\u636e\u4f9d\u8d56\u72b6\u51b5\u51b3\u5b9a\u7684\u3002\u4e24\u6761\u751f\u547d\u5468\u671f\u89c4\u5219（L-Reload \/ L-Unload）\u662f\u7cfb\u7edf\u81ea\u53d1\u7684：\u53ea\u8981\u524d\u63d0\u6ee1\u8db3\u5c31\u89e6\u53d1，\u65e0\u9700\u8c03\u5ea6\u5668\u63d0\u53ca\u3002\u89c4\u5219\u7684\u6bd4\u8f83\u673a\u5236\u662f\u7edf\u4e00\u7684\u2014\u2014\u6bd4\u8f83"\u5df2\u63d0\u4ea4\u89c6\u56fe 𝜔"\u4e0e"\u76ee\u6807\u89c6\u56fe target"：\u76f8\u7b49\u5219\u9759\u6b62，\u4e0d\u7b49\u5219\u8f6c\u6362\u3002\u8fd9\u79cd"\u76ee\u6807\u2014\u5df2\u63d0\u4ea4"\u53cc\u89c6\u56fe\u6bd4\u8f83\u662f\u53cd\u5e94\u5f0f\u7eaa\u5f8b\u7684\u4f53\u73b0：\u65e0\u8bba\u662f\u56e0\u4e3a\u4f9d\u8d56\u6d88\u5931\u4e86\u5bfc\u81f4 target \u53d8 \u22a5，\u8fd8\u662f\u56e0\u4e3a\u9000\u5f79\u4e86\u5bfc\u81f4 target \u53d8 \u22a5，\u7ea4\u7ef4\u90fd\u4f1a\u5378\u8f7d；\u65e0\u8bba\u662f\u56e0\u4e3a\u65b0\u63d0\u4f9b\u8005\u4e0a\u7ebf\u5bfc\u81f4 target \u53d8\u4e86，\u7ea4\u7ef4\u90fd\u4f1a\u91cd\u8f7d\u5230\u65b0\u89e3\u6790\u4e0a\u3002<\/p>\n
O-Insert \u7684\u6700\u540e\u4e00\u4e2a\u524d\u63d0 \u2200𝑚. 𝑝 \u2229 𝑝𝑚 = \u2300 \u662f\u5355\u4e00\u6765\u6e90\u7eaa\u5f8b\u7684\u6267\u884c\u70b9\u3002 \u5b83\u7981\u6b62\u63a5\u7eb3\u7b2c\u4e8c\u4e2a\u58f0\u660e\u5df2\u6709\u952e\u7684\u7ec4\u4ef6\u2014\u2014\u8fd9\u6b63\u662f 4.1 \u8282\u4f9b\u7ed9\u4e0d\u76f8\u4ea4\u6027\u7684\u843d\u5730\u3002\u5de5\u7a0b\u4e0a，\u8fd9\u76f8\u5f53\u4e8e DSH \u63d2\u4ef6\u7cfb\u7edf\u62d2\u7edd\u6ce8\u518c\u4e00\u4e2a\u4e0e\u5df2\u5b58\u5728\u63d2\u4ef6\u51b2\u7a81\u7684\u670d\u52a1\u540d，\u907f\u514d"\u4e24\u4e2a logger \u63d0\u4f9b\u8005"\u9020\u6210\u7684\u6b67\u4e49\u3002O-Retire \u4e0e O-Remove \u5206\u79bb\u662f\u4e00\u4e2a\u91cd\u8981\u7684\u5de5\u7a0b\u7ec6\u8282：\u9000\u5f79\u53ea\u662f"\u6253\u4e2a\u6807\u8bb0"（\u8bbe 𝜏=\u22a4），\u628a\u76ee\u6807\u89c6\u56fe\u53d8 \u22a5，\u771f\u6b63\u7684\u53bb\u6fc0\u6d3b\u7531 L-Unload \u5b8c\u6210；\u53ea\u6709\u5f53\u7ea4\u7ef4\u5df2\u7ecf\u9759\u6b62\u4e14\u6ca1\u6709\u5b50\u7ea4\u7ef4\u65f6\u624d\u80fd O-Remove\u3002\u63d0\u524d\u79fb\u9664\u4e00\u4e2a\u4ecd\u6fc0\u6d3b\u7684\u7ea4\u7ef4\u4f1a\u4e22\u6389\u5b83\u7684\u7d2f\u52a0\u5668 𝑔（\u9006\u51fd\u6570），\u5bfc\u81f4\u526f\u4f5c\u7528\u65e0\u6cd5\u56de\u6536\u2014\u2014\u8fd9\u5c31\u662f"\u8d44\u6e90\u6cc4\u6f0f"\u3002\u2200𝑚. 𝜋𝑚 \u2260 𝑛 \u524d\u63d0\u4fdd\u8bc1"\u5148\u79fb\u9664\u5b50\u518d\u79fb\u9664\u7236"，\u7ef4\u6301\u6ce8\u518c\u8868\u7684\u6811\u5f62\u826f\u597d\u6027\u3002<\/p>\n
\u5b9a\u4e4947\u7684\u6ce8\u518c\u539f\u8bed\u662f"\u63d2\u4ef6\u88c5\u8f7d\u63d2\u4ef6"\u7684\u8bed\u4e49\u5316\u3002 \u4e00\u4e2a\u7ec4\u4ef6\u5728\u6fc0\u6d3b\u65f6\u53ef\u4ee5\u6ce8\u518c\u522b\u7684\u7ec4\u4ef6，\u5176\u9006\u51fd\u6570\u662f"\u9000\u5f79\u6240\u6ce8\u518c\u7684\u7ea4\u7ef4"\u800c\u975e"\u79fb\u9664"\u3002\u4e3a\u4ec0\u4e48\u7528 O-Retire \u800c\u975e O-Remove \u4f5c\u4e3a\u9006？\u56e0\u4e3a\u9006\u51fd\u6570\u5fc5\u987b"\u5728\u4efb\u4f55\u5230\u8fbe\u5b83\u7684\u5730\u65b9\u90fd\u80fd\u6267\u884c"，\u800c O-Remove \u6709\u524d\u63d0（\u7ea4\u7ef4\u5fc5\u987b\u9759\u6b62\u3001\u65e0\u5b50）；\u5982\u679c\u5b50\u8fd8\u6fc0\u6d3b\u7740，\u7236\u7684\u9006\u5c31\u5361\u4f4f\u4e86\u3002O-Retire \u552f\u4e00\u524d\u63d0\u662f 𝑛 \u5728\u6ce8\u518c\u8868\u4e2d，\u6c38\u8fdc\u80fd\u6267\u884c，\u9000\u5f79\u540e\u751f\u547d\u5468\u671f\u89c4\u5219\u4f1a\u81ea\u7136\u628a\u5b83\u5e26\u56de 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾\u3002\u8fd9\u5bf9\u5e94 DSH \u91cc"agent \u9000\u51fa\u65f6，\u5b83\u542f\u52a8\u7684\u5b50 agent \u4f1a\u88ab\u7ea7\u8054\u56de\u6536"\u7684\u8bed\u4e49\u2014\u2014\u4e00\u4e2a\u63d2\u4ef6\u5bbf\u4e3b\u52a0\u8f7d\u7684\u63d2\u4ef6，\u5728\u5bbf\u4e3b\u5378\u8f7d\u65f6\u4e5f\u4f1a\u88ab\u9000\u5f79，\u9010\u5c42\u5411\u4e0b\u7ea7\u8054\u3002<\/p>\n
\u5b9a\u4e4948\u7684\u7ea6\u675f\u6027（confinement）\u662f\u6545\u969c\u9694\u79bb\u7684\u8fb9\u754c\u3002 \u5b83\u4ece\u5199\u548c\u8bfb\u4e24\u4e2a\u65b9\u5411\u9650\u5236\u6548\u5e94\u51fd\u6570\u7684\u80fd\u529b：\u5199\u4e0a，\u4e00\u4e2a\u7ea4\u7ef4\u7684\u6548\u5e94\u53ea\u80fd\u6539\u81ea\u5df1\u7684 𝜎 \u8868（\u52a0\u4e0a\u6ce8\u518c\u539f\u8bed\u65b0\u589e\u7684\u6761\u76ee\u548c\u9000\u5f79\u6807\u8bb0），\u4e0d\u80fd\u52a8\u522b\u4eba\u7684\u63a7\u5236\u5b57\u6bb5；\u8bfb\u4e0a，\u4e00\u4e2a\u7ea4\u7ef4\u53ea\u80fd\u8bfb\u81ea\u5df1\u7684\u8868\u3001\u5404\u63d0\u4f9b\u8005\u8868\u4e2d\u5b83\u58f0\u660e\u4f9d\u8d56\u7684\u90e8\u5206\u3001\u4ee5\u53ca\u73af\u5883\u72b6\u6001，\u4e0d\u80fd\u8bfb\u522b\u4eba\u7684\u8868\u6216\u4efb\u4f55\u63a7\u5236\u5b57\u6bb5\u3002\u8fd9\u4fdd\u8bc1\u4e86\u4e00\u4e2a\u7ec4\u4ef6\u4e0d\u80fd"\u5077\u770b"\u6216"\u7be1\u6539"\u5b83\u6ca1\u58f0\u660e\u4f9d\u8d56\u7684\u7ea4\u7ef4\u7684\u751f\u547d\u5468\u671f\u72b6\u6001\u2014\u2014\u8fd9\u6b63\u662f\u6545\u969c\u9694\u79bb\u4e0e\u6a21\u5757\u5c01\u88c5\u7684\u5f62\u5f0f\u5316\u3002\u8bfb\u7ea6\u675f\u7684\u7b2c(2)\u6761\u5c24\u5176\u91cd\u8981：\u5b83\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u7ec4\u4ef6\u80fd\u8bfb\u5230\u81ea\u5df1\u58f0\u660e\u7684\u534f\u540c\u6548\u5e94\u503c\u2014\u2014\u8fd9\u4e9b\u503c\u5728\u63d0\u4f9b\u8005\u7684\u8868\u91cc，\u6240\u4ee5\u6548\u5e94\u51fd\u6570\u5fc5\u987b\u80fd\u8bfb\u5404 𝜎𝑚|𝑑𝑛\u3002\u8fd9\u5bf9\u5e94 Cordis \u91cc\u7ec4\u4ef6\u901a\u8fc7\u4f9d\u8d56\u6ce8\u5165\u62ff\u5230\u7684"\u5df2\u89e3\u6790\u7684\u4f9d\u8d56\u5b9e\u4f8b"，\u800c\u4e0d\u662f\u76f4\u63a5\u8bbf\u95ee\u6574\u4e2a\u6ce8\u518c\u8868\u3002<\/p>\n
\u6700\u540e，\u89c4\u5219\u662f\u975e\u786e\u5b9a\u4e14\u7eaf\u53cd\u5e94\u5f0f\u7684：\u591a\u6761\u7ea4\u7ef4\u53ef\u80fd\u540c\u65f6\u9700\u8981\u8f6c\u6362，\u5173\u7cfb\u4e0d\u89c4\u5b9a\u987a\u5e8f；\u4e5f\u6ca1\u6709\u4efb\u4f55\u89c4\u5219\u63d0\u53ca\u8c03\u5ea6\u5668\u3002\u56e0\u6b64\u5bf9"\u6240\u6709\u53ef\u80fd\u7684\u6b65\u9aa4\u5e8f\u5217"\u6210\u7acb\u7684\u5b9a\u7406，\u5bf9\u4efb\u4f55\u8fd0\u884c\u65f6\u91c7\u7528\u7684\u8c03\u5ea6\u7b56\u7565\u90fd\u6210\u7acb\u2014\u2014\u8fd9\u662f\u540e\u7eed\u5143\u7406\u8bba\u80fd\u8986\u76d6\u5404\u79cd\u73b0\u5b9e\u8c03\u5ea6\u7684\u5173\u952e\u3002<\/p>\n
This section extends the base calculus in four settings. The first supplies something Section 3.2 requires and Section 4.2 cannot express, a deactivation spread over an interval its dependents may occupy; the other three drop the idealization that a transition is atomic, immediate, and infallible, none of which a transition in a real runtime is. What is dropped is that a whole transition is one step, not that a step is one application of one rule, and the four share one structural consequence: a transition that is not a step needs a state to occupy while it is under way, one for each direction it may run in.<\/p>\n
Definition 49. The lifecycle states of this section replace \u0398\u0393 by
\n\u0398\u0393 \u2254 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜁) | 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑖, 𝑔, 𝜔) | 𝖠𝖼𝗍𝗂𝗏𝖾(𝑔, 𝜔) | 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔, 𝜔, 𝜁)
\nwhere 𝑖 is the remaining effect iterator, 𝑔 the accumulator built so far, 𝜔 the committed view, and 𝜁 : {\u22a5} \u222a \u039e the outcome, carried by 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 as the one its deactivation is headed for and by 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 as the one it reached, either \u22a5 or an error from the set \u039e that Section 4.3.4 supplies.<\/p>\n
A fiber is installed when it is in one of the three states carrying an accumulator and a committed view, and failed when it carries an error outcome:
\ninstalled𝑛(𝛾) \u2254 𝜃𝑛 \u2260 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u2212), failed𝑛(𝛾) \u2254 \u2203𝜉 \u2208 \u039e. 𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜉)
\nThe quiescence is read on the wider state space, and 𝜎𝛾 still unions the tables of 𝖠𝖼𝗍𝗂𝗏𝖾 fibers alone, so a fiber whose transition is under way in either direction reads its coeffects through the 𝜔 it holds and provides none of its own; a key that its transition has already written is therefore not yet one a dependent may activate against.<\/p>\n
\u672c\u8282\u5728\u56db\u79cd\u60c5\u5883\u4e0b\u6269\u5c55\u57fa\u7840\u6f14\u7b97\u3002\u7b2c\u4e00\u79cd\u8865\u8db3\u7b2c3.2\u8282\u8981\u6c42\u800c\u7b2c4.2\u8282\u65e0\u6cd5\u8868\u8fbe\u7684\u4e1c\u897f：\u4e00\u6b21\u53bb\u6fc0\u6d3b\u5206\u6563\u5728\u4e00\u6bb5\u65f6\u95f4\u5185，\u4f9b\u5176\u4f9d\u8d56\u8005\u5360\u636e；\u5176\u4f59\u4e09\u79cd\u653e\u5f03"\u8f6c\u6362\u662f\u539f\u5b50\u7684\u3001\u5373\u65f6\u7684\u3001\u4e0d\u4f1a\u5931\u8d25\u7684"\u8fd9\u4e00\u7406\u60f3\u5316\u2014\u2014\u800c\u771f\u5b9e\u8fd0\u884c\u65f6\u91cc\u7684\u8f6c\u6362\u4e09\u8005\u7686\u975e\u3002\u88ab\u653e\u5f03\u7684\u662f"\u6574\u6b21\u8f6c\u6362\u662f\u4e00\u6b65"，\u800c\u975e"\u4e00\u6b65\u662f\u4e00\u6b21\u89c4\u5219\u5e94\u7528"，\u56db\u8005\u5171\u4eab\u4e00\u4e2a\u7ed3\u6784\u540e\u679c：\u4e00\u6b21\u975e\u4e00\u6b65\u7684\u8f6c\u6362\u9700\u8981\u4e00\u4e2a\u5728\u5b83\u8fdb\u884c\u671f\u95f4\u5360\u636e\u7684\u72b6\u6001，\u6bcf\u4e2a\u53ef\u80fd\u7684\u65b9\u5411\u5404\u9700\u4e00\u4e2a\u3002<\/p>\n
\u5b9a\u4e49 49\u3002 \u672c\u8282\u7684\u751f\u547d\u5468\u671f\u72b6\u6001\u628a \u0398\u0393 \u66ff\u6362\u4e3a：
\n\u0398\u0393 \u2254 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜁) | 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑖, 𝑔, 𝜔) | 𝖠𝖼𝗍𝗂𝗏𝖾(𝑔, 𝜔) | 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔, 𝜔, 𝜁)
\n\u5176\u4e2d 𝑖 \u662f\u5269\u4f59\u7684\u6548\u5e94\u8fed\u4ee3\u5668（effect iterator），𝑔 \u662f\u8fc4\u4eca\u6784\u5efa\u7684\u7d2f\u52a0\u5668，𝜔 \u662f\u5df2\u63d0\u4ea4\u89c6\u56fe，𝜁 : {\u22a5} \u222a \u039e \u662f\u7ed3\u679c（outcome），\u7531 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u643a\u5e26\u4e3a\u5176\u53bb\u6fc0\u6d3b\u6240\u671d\u5411\u7684\u7ed3\u679c\u3001\u7531 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 \u643a\u5e26\u4e3a\u5176\u5df2\u5230\u8fbe\u7684\u7ed3\u679c，\u8981\u4e48\u662f \u22a5，\u8981\u4e48\u662f4.3.4\u8282\u63d0\u4f9b\u7684\u9519\u8bef\u96c6\u5408 \u039e \u4e2d\u7684\u67d0\u4e2a\u9519\u8bef\u3002<\/p>\n
\u4e00\u4e2a\u7ea4\u7ef4\u5904\u4e8e\u643a\u5e26\u7d2f\u52a0\u5668\u4e0e\u5df2\u63d0\u4ea4\u89c6\u56fe\u7684\u4e09\u79cd\u72b6\u6001\u4e4b\u4e00\u65f6\u662f\u5df2\u5b89\u88c5\u7684（installed），\u643a\u5e26\u9519\u8bef\u7ed3\u679c\u65f6\u662f\u5df2\u5931\u8d25\u7684（failed）：
\ninstalled𝑛(𝛾) \u2254 𝜃𝑛 \u2260 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u2212)，failed𝑛(𝛾) \u2254 \u2203𝜉 \u2208 \u039e. 𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜉)
\n\u9759\u6b62\u6027\u5728\u66f4\u5bbd\u7684\u72b6\u6001\u7a7a\u95f4\u4e0a\u8bfb\u51fa，\u800c 𝜎𝛾 \u4ecd\u7136\u53ea\u5bf9 𝖠𝖼𝗍𝗂𝗏𝖾 \u7ea4\u7ef4\u7684\u8868\u53d6\u5e76\u96c6，\u6240\u4ee5\u4e00\u4e2a\u8f6c\u6362\u6b63\u5728\u8fdb\u884c（\u4efb\u4e00\u65b9\u5411）\u7684\u7ea4\u7ef4\u901a\u8fc7\u5b83\u6301\u6709\u7684 𝜔 \u8bfb\u53d6\u81ea\u5df1\u7684\u534f\u540c\u6548\u5e94，\u4e14\u4e0d\u63d0\u4f9b\u81ea\u5df1\u7684\u534f\u540c\u6548\u5e94；\u56e0\u6b64\u5176\u8f6c\u6362\u5df2\u7ecf\u5199\u4e0b\u7684\u952e，\u5c1a\u672a\u6210\u4e3a\u4f9d\u8d56\u8005\u53ef\u4ee5\u6fc0\u6d3b\u6240\u4f9d\u636e\u7684\u952e\u3002<\/p>\n
\u672c\u8282\u662f\u6574\u7ae0\u7684"\u5206\u6c34\u5cad"：\u5b83\u628a\u57fa\u7840\u6f14\u7b97\u90a3\u4e2a\u8fc7\u4e8e\u7406\u60f3\u7684\u4e24\u6001\u6a21\u578b\u6269\u5c55\u4e3a\u56db\u6001\u6a21\u578b，\u9010\u6b65\u653e\u5f03"\u539f\u5b50\u3001\u5373\u65f6\u3001\u4e0d\u4f1a\u5931\u8d25"\u4e09\u4e2a\u7406\u60f3\u5316\u5047\u8bbe\u3002\u6838\u5fc3\u7ed3\u6784\u6d1e\u89c1\u662f：\u4e00\u6b21\u8f6c\u6362\u82e5\u4e0d\u662f\u5355\u6b65\u5b8c\u6210\u7684，\u5c31\u9700\u8981\u4e00\u4e2a"\u8fdb\u884c\u4e2d"\u7684\u72b6\u6001\u6765\u6816\u8eab\u2014\u2014\u6bcf\u4e2a\u65b9\u5411（\u91cd\u8f7d\u65b9\u5411\u3001\u5378\u8f7d\u65b9\u5411）\u5404\u4e00\u4e2a\u3002<\/p>\n
\u4e8e\u662f\u751f\u547d\u5468\u671f\u4ece\u4e24\u6001\u6269\u5c55\u4e3a\u56db\u6001：𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜁)（\u9759\u6b62，\u643a\u5e26\u7ed3\u679c 𝜁）\u3001𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑖, 𝑔, 𝜔)（\u91cd\u8f7d\u4e2d，\u643a\u5e26\u5269\u4f59\u8fed\u4ee3\u5668\u3001\u5df2\u6784\u5efa\u7d2f\u52a0\u5668\u3001\u5df2\u63d0\u4ea4\u89c6\u56fe）\u3001𝖠𝖼𝗍𝗂𝗏𝖾(𝑔, 𝜔)（\u6fc0\u6d3b，\u643a\u5e26\u7d2f\u52a0\u5668\u4e0e\u5df2\u63d0\u4ea4\u89c6\u56fe）\u3001𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔, 𝜔, 𝜁)（\u5378\u8f7d\u4e2d，\u643a\u5e26\u7d2f\u52a0\u5668\u3001\u5df2\u63d0\u4ea4\u89c6\u56fe\u3001\u671d\u5411\u7684\u7ed3\u679c）\u3002\u8fd9\u5bf9\u5e94\u73b0\u5b9e\u8fd0\u884c\u65f6\u91cc\u4e00\u6b21"\u70ed\u91cd\u8f7d"\u6216"\u5378\u8f7d"\u4e0d\u662f\u77ac\u65f6\u7684：\u5b83\u8981\u6267\u884c\u4e00\u6bb5\u4ee3\u7801\u3001\u53ef\u80fd\u8de8\u8d8a\u591a\u6b21\u8fed\u4ee3\u3001\u53ef\u80fd\u7b49\u5f85\u5f02\u6b65\u64cd\u4f5c\u3001\u53ef\u80fd\u4e2d\u9014\u5931\u8d25\u3002<\/p>\n
\u6700\u5173\u952e\u7684\u53ef\u89c1\u6027\u89c4\u5219：𝜎𝛾 \u4ecd\u7136\u53ea\u5bf9\u771f\u6b63 𝖠𝖼𝗍𝗂𝗏𝖾 \u7684\u7ea4\u7ef4\u53d6\u5e76\u96c6\u3002\u8fd9\u610f\u5473\u7740\u4e00\u4e2a 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u6216 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u7684\u7ea4\u7ef4，\u5373\u4f7f\u5b83\u7684\u8868\u91cc\u5df2\u7ecf\u5199\u4e86\u503c，\u4e5f\u4e0d\u5bf9\u4ed6\u4eba\u53ef\u89c1\u2014\u2014\u5b83\u901a\u8fc7\u81ea\u5df1\u6301\u6709\u7684\u5df2\u63d0\u4ea4\u89c6\u56fe 𝜔 \u6765\u8bfb\u4f9d\u8d56，\u4f46\u4e0d\u5411\u4ed6\u4eba\u63d0\u4f9b\u4efb\u4f55\u952e\u3002\u8fd9\u6709\u4e24\u4e2a\u5de5\u7a0b\u542b\u4e49：\u4e00\u662f"\u534a\u88c5\u8f7d\u7684\u7ec4\u4ef6\u4e0d\u5bf9\u5916\u53ef\u89c1"，\u907f\u514d\u4f9d\u8d56\u8005\u770b\u5230\u4e00\u4e2a\u8fd8\u6ca1\u51c6\u5907\u597d\u7684\u670d\u52a1；\u4e8c\u662f\u4e3a 4.3.1 \u7684\u64a4\u56de\u987a\u5e8f\u5960\u5b9a\u57fa\u7840\u2014\u2014\u4e00\u4e2a\u5f00\u59cb\u5378\u8f7d\u7684\u7ea4\u7ef4\u7acb\u5373\u4ece 𝜎𝛾 \u4e2d\u6d88\u5931，\u4e8e\u662f\u4f9d\u8d56\u5b83\u7684\u7ea4\u7ef4\u4f1a\u53d1\u73b0\u76ee\u6807\u89c6\u56fe\u53d8\u5316\u3001\u4e5f\u5f00\u59cb\u5378\u8f7d，\u5f62\u6210\u81ea\u7136\u7684\u7ea7\u8054\u3002<\/p>\n
\u540e\u7eed\u56db\u4e2a\u5b50\u8282\u5206\u522b\u5904\u7406：\u64a4\u56de（\u628a\u5378\u8f7d\u5206\u6210"\u6807\u8bb0\u79bb\u5f00"\u4e0e"\u771f\u6b63\u56de\u6536"\u4e24\u6b65）\u3001\u8fed\u4ee3（\u628a\u6fc0\u6d3b\u5206\u6210\u591a\u6b21\u53ef\u4e2d\u65ad\u7684\u8fed\u4ee3）\u3001\u5f02\u6b65（\u4e00\u6b21\u8fed\u4ee3\u5728\u98de\u884c\u671f\u95f4\u73af\u5883\u4f1a\u53d8）\u3001\u5931\u8d25（\u8fed\u4ee3\u53ef\u80fd\u629b\u9519）\u3002\u6bcf\u4e2a\u5b50\u8282\u53ea\u5f80\u8fd9\u4e2a\u56db\u6001\u7a7a\u95f4\u4e0a\u52a0\u89c4\u5219，\u4e0d\u6539\u53d8\u5df2\u6709\u7ed3\u679c\u2014\u2014\u8fd9\u662f\u672c\u7ae0"\u5206\u5c42\u6269\u5c55"\u7684\u8bbe\u8ba1\u54f2\u5b66\u3002<\/p>\n
Section 3.2 requires that dependents activate after their dependencies and that dependencies withdraw their provisions only after their dependents have deactivated. The second half must deliver that a consumer can still read 𝑘 throughout its own deactivation, and that the provider\u2019s withdrawal of 𝑘 takes effect only afterwards. The base calculus cannot deliver it at all: its L-Unload removes the provisions and runs the inverse together, leaving no interval between them for a consumer\u2019s teardown to occupy.<\/p>\n
This layer splits that step in two, and guards the second half by the following condition.<\/p>\n
Definition 50. The fiber 𝑛 is relied upon at 𝛾 when some other installed fiber resolves a key to it:
\nrelied𝑛(𝛾) \u2254 \u2203𝑚 \u2208 dom(𝐹𝛾), 𝑘 \u2208 𝑑𝑚. 𝑚 \u2260 𝑛 \u2227 installed𝑚(𝛾) \u2227 𝜔𝑚(𝑘) = 𝑛<\/p>\n
𝜃𝑛 = 𝖠𝖼𝗍𝗂𝗏𝖾(𝑔, 𝜔) target𝑛(𝛾) \u2260 𝜔
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 L-Leave
\n𝛾 \u27f6 𝛾[𝜃𝑛 \u21a6 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔, 𝜔, \u22a5)]<\/p>\n
𝜃𝑛 = 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔, 𝜔, 𝜁) \u00ac relied𝑛(𝛾) 𝑔(𝛾) = 𝛿
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 L-Unload
\n𝛾 \u27f6 𝛿[𝜃𝑛 \u21a6 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜁)]<\/p>\n
L-Leave records the decision to deactivate without acting on it, which stops the fiber providing its coeffects while leaving its own committed view and everyone else\u2019s intact. L-Unload applies the accumulator, discards the committed view, and leaves the fiber 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 on the outcome it carries. The two halves of the ordering are then carried by different parts of the form: the visibility half by the committed view, which L-Unload discards as its last act, and the ordering half by the premise \u00ac relied𝑛(𝛾), which we call the guard and which holds the withdrawal of 𝑘 back until every consumer that resolves it to 𝑛 has gone.<\/p>\n
The guard is imposed per binding rather than per fiber. A guard of this kind ordinarily deadlocks. What keeps it from doing so is 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 together with 𝜎𝛾 being the union over 𝖠𝖼𝗍𝗂𝗏𝖾 fibers alone: once L-Leave has marked 𝑛, its table leaves 𝜎𝛾, so no target view can name 𝑛 any longer, and every consumer that committed to 𝑛 is itself on its way out.<\/p>\n
\u7b2c3.2\u8282\u8981\u6c42\u4f9d\u8d56\u8005\u5728\u4f9d\u8d56\u4e4b\u540e\u6fc0\u6d3b，\u4e14\u4f9d\u8d56\u53ea\u6709\u5728\u4f9d\u8d56\u8005\u90fd\u5df2\u53bb\u6fc0\u6d3b\u4e4b\u540e\u624d\u64a4\u56de\u5176\u4f9b\u7ed9\u3002\u540e\u534a\u6bb5\u5fc5\u987b\u4fdd\u8bc1：\u4e00\u4e2a\u6d88\u8d39\u8005\u80fd\u5728\u5b83\u81ea\u5df1\u6574\u4e2a\u53bb\u6fc0\u6d3b\u671f\u95f4\u6301\u7eed\u8bfb\u5230 𝑘，\u800c\u63d0\u4f9b\u8005\u5bf9 𝑘 \u7684\u64a4\u56de\u53ea\u5728\u4e4b\u540e\u624d\u751f\u6548\u3002\u57fa\u7840\u6f14\u7b97\u6839\u672c\u505a\u4e0d\u5230\u8fd9\u4e00\u70b9：\u5b83\u7684 L-Unload \u628a\u64a4\u56de\u4f9b\u7ed9\u4e0e\u8fd0\u884c\u9006\u51fd\u6570\u5408\u5728\u4e00\u8d77\u505a，\u6ca1\u6709\u7ed9\u6d88\u8d39\u8005\u7684\u62c6\u5378\u7559\u51fa\u4efb\u4f55\u65f6\u95f4\u95f4\u9694\u3002<\/p>\n
\u672c\u5c42\u628a\u8fd9\u4e00\u6b65\u62c6\u6210\u4e24\u6b65，\u5e76\u7528\u5982\u4e0b\u6761\u4ef6\u5b88\u62a4\u540e\u534a\u6b65\u3002<\/p>\n
\u5b9a\u4e49 50\u3002 \u5f53\u67d0\u4e2a\u5176\u4ed6\u5df2\u5b89\u88c5\u7ea4\u7ef4\u628a\u4e00\u4e2a\u952e\u89e3\u6790\u5230 𝑛 \u65f6，\u7ea4\u7ef4 𝑛 \u5728 𝛾 \u5904\u88ab\u4f9d\u8d56（relied upon）：
\nrelied𝑛(𝛾) \u2254 \u2203𝑚 \u2208 dom(𝐹𝛾), 𝑘 \u2208 𝑑𝑚. 𝑚 \u2260 𝑛 \u2227 installed𝑚(𝛾) \u2227 𝜔𝑚(𝑘) = 𝑛<\/p>\n
L-Leave（\u79bb\u5f00）： \u5f53\u7ea4\u7ef4 𝖠𝖼𝗍𝗂𝗏𝖾 \u4e14\u76ee\u6807\u89c6\u56fe\u4e0d\u518d\u662f 𝜔 \u65f6，\u8bb0\u5f55\u53bb\u6fc0\u6d3b\u7684\u51b3\u5b9a\u4f46\u4e0d\u7acb\u5373\u6267\u884c\u2014\u2014\u628a\u7ea4\u7ef4\u7f6e\u4e3a 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔, 𝜔, \u22a5)，\u8fd9\u4f7f\u5b83\u505c\u6b62\u63d0\u4f9b\u534f\u540c\u6548\u5e94，\u540c\u65f6\u4fdd\u7559\u81ea\u5df1\u7684\u5df2\u63d0\u4ea4\u89c6\u56fe\u4e0e\u4ed6\u4eba\u89c6\u56fe\u4e0d\u53d8\u3002<\/p>\n
L-Unload（\u5378\u8f7d）： \u5f53\u7ea4\u7ef4 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u3001\u4e14\u4e0d\u518d\u88ab\u4efb\u4f55\u5df2\u5b89\u88c5\u7ea4\u7ef4\u4f9d\u8d56（\u00ac relied𝑛(𝛾)）\u3001\u4e14\u5e94\u7528\u9006 𝑔(𝛾) = 𝛿 \u65f6，\u5e94\u7528\u7d2f\u52a0\u5668\u3001\u4e22\u5f03\u5df2\u63d0\u4ea4\u89c6\u56fe\u3001\u628a\u7ea4\u7ef4\u7f6e\u4e3a 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜁)\u3002\u5b83\u662f\u6f14\u7b97\u4e2d\u552f\u4e00\u5e94\u7528\u7d2f\u52a0\u5668\u7684\u89c4\u5219\u3002<\/p>\n
\u6392\u5e8f\u7684\u4e24\u534a\u4e8e\u662f\u7531\u5f62\u5f0f\u7684\u4e0d\u540c\u90e8\u5206\u627f\u8f7d：\u53ef\u89c1\u6027\u7684\u4e00\u534a\u7531\u5df2\u63d0\u4ea4\u89c6\u56fe\u627f\u8f7d（L-Unload \u5728\u6700\u540e\u624d\u4e22\u5f03\u5b83），\u6392\u5e8f\u7684\u4e00\u534a\u7531\u524d\u63d0 \u00ac relied𝑛(𝛾) \u627f\u8f7d\u2014\u2014\u6211\u4eec\u79f0\u4e4b\u4e3a\u5b88\u536b（guard），\u5b83\u628a 𝑘 \u7684\u64a4\u56de\u63a8\u8fdf\u5230\u6bcf\u4e2a\u628a 𝑘 \u89e3\u6790\u5230 𝑛 \u7684\u6d88\u8d39\u8005\u90fd\u79bb\u5f00\u4e4b\u540e\u3002<\/p>\n
\u5b88\u536b\u662f\u6309\u7ed1\u5b9a（per binding）\u65bd\u52a0\u7684，\u800c\u975e\u6309\u7ea4\u7ef4\u3002\u8fd9\u79cd\u5b88\u536b\u901a\u5e38\u4f1a\u5bfc\u81f4\u6b7b\u9501\u3002\u4f7f\u5b83\u4e0d\u6b7b\u9501\u7684\u662f 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u52a0\u4e0a 𝜎𝛾 \u53ea\u5bf9 𝖠𝖼𝗍𝗂𝗏𝖾 \u7ea4\u7ef4\u53d6\u5e76\u96c6：\u4e00\u65e6 L-Leave \u6807\u8bb0\u4e86 𝑛，\u5b83\u7684\u8868\u5c31\u79bb\u5f00 𝜎𝛾，\u4e8e\u662f\u6ca1\u6709\u4efb\u4f55\u76ee\u6807\u89c6\u56fe\u80fd\u518d\u547d\u540d 𝑛，\u6bcf\u4e2a\u63d0\u4ea4\u5230 𝑛 \u7684\u6d88\u8d39\u8005\u81ea\u5df1\u4e5f\u5728\u9000\u51fa\u7684\u8def\u4e0a\u3002<\/p>\n
\u8fd9\u662f\u6574\u7ae0\u6700\u7cbe\u5999\u7684\u4e00\u8282，\u5b83\u89e3\u51b3\u4e86\u4e00\u4e2a\u975e\u5e38\u5b9e\u9645\u7684\u5de5\u7a0b\u95ee\u9898：\u5f53\u4e00\u4e2a\u88ab\u4f9d\u8d56\u7684\u7ec4\u4ef6\u8981\u5378\u8f7d\u65f6，\u4f9d\u8d56\u5b83\u7684\u7ec4\u4ef6\u5728\u6267\u884c\u81ea\u5df1\u7684\u62c6\u5378\u4ee3\u7801\u65f6，\u5f80\u5f80\u8fd8\u9700\u8981\u7528\u5230\u90a3\u4e2a\u6b63\u5728\u88ab\u64a4\u56de\u7684\u4f9d\u8d56\u3002 \u8bba\u6587\u4e3e\u7684\u4f8b\u5b50\u975e\u5e38\u8d34\u5207：\u5173\u95ed\u4e00\u4e2a\u8fde\u63a5\u6c60\u901a\u5e38\u610f\u5473\u7740\u8981\u628a\u8fde\u63a5\u5f52\u8fd8\u7ed9"\u63d0\u4f9b\u8fde\u63a5\u7684\u90a3\u4e2a\u4e1c\u897f"\u2014\u2014\u4e5f\u5c31\u662f\u8bf4，\u8fde\u63a5\u6c60\u6d88\u8d39\u8005\u7684\u62c6\u5378\u4ee3\u7801\u6070\u6070\u9700\u8981\u90a3\u4e2a\u6b63\u5728\u88ab\u64a4\u56de\u7684\u8fde\u63a5\u6c60\u672c\u8eab\u3002\u5982\u679c\u50cf\u57fa\u7840\u6f14\u7b97\u90a3\u6837\u628a"\u64a4\u56de\u4f9b\u7ed9"\u548c"\u8fd0\u884c\u9006\u51fd\u6570"\u540c\u65f6\u505a\u6389，\u6d88\u8d39\u8005\u7684\u62c6\u5378\u5c31\u4f1a\u8bbf\u95ee\u4e00\u4e2a\u5df2\u7ecf\u4e0d\u5b58\u5728\u7684\u4f9d\u8d56，\u5d29\u6e83\u3002<\/p>\n
\u89e3\u51b3\u65b9\u6cd5\u662f\u628a\u5378\u8f7d\u62c6\u6210 L-Leave \u548c L-Unload \u4e24\u6b65\u3002 L-Leave \u53ea\u662f"\u6253\u4e2a\u62db\u547c\u8bf4\u6211\u8981\u8d70\u4e86"\u2014\u2014\u628a\u7ea4\u7ef4\u4ece 𝖠𝖼𝗍𝗂𝗏𝖾 \u79fb\u5230 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀，\u4f46\u4e0d\u7acb\u5373\u8fd0\u884c\u9006\u51fd\u6570，\u4e5f\u4e0d\u7acb\u5373\u4e22\u5f03\u5df2\u63d0\u4ea4\u89c6\u56fe\u3002\u5173\u952e\u7684\u53ef\u89c1\u6027\u6548\u679c\u662f：\u4e00\u65e6\u8fdb\u5165 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀，\u8be5\u7ea4\u7ef4\u7684\u8868\u5c31\u7acb\u5373\u4ece 𝜎𝛾 \u4e2d\u6d88\u5931（\u56e0\u4e3a 𝜎𝛾 \u53ea\u5bf9 𝖠𝖼𝗍𝗂𝗏𝖾 \u53d6\u5e76\u96c6），\u4e8e\u662f\u6240\u6709\u4f9d\u8d56\u5b83\u7684\u7ea4\u7ef4\u4f1a\u53d1\u73b0\u76ee\u6807\u89c6\u56fe\u53d8\u4e86\u3001\u4e5f\u5f00\u59cb L-Leave\u3002\u4f46\u8fd9\u4e2a 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u7684\u7ea4\u7ef4\u81ea\u5df1\u4ecd\u7136\u901a\u8fc7\u5b83\u6301\u6709\u7684\u5df2\u63d0\u4ea4\u89c6\u56fe 𝜔 \u8bfb\u5230\u5b83\u7684\u4f9d\u8d56\u2014\u2014\u6240\u4ee5\u5b83\u7684\u62c6\u5378\u4ee3\u7801（\u8fd0\u884c\u5728\u9006\u51fd\u6570 𝑔 \u91cc）\u4ecd\u80fd\u8bbf\u95ee\u5b83\u9700\u8981\u7684\u534f\u540c\u6548\u5e94\u3002<\/p>\n
L-Unload \u624d\u662f\u771f\u6b63\u56de\u6536\u8d44\u6e90\u7684\u90a3\u4e00\u6b65，\u5b83\u6709\u5b88\u536b \u00ac relied𝑛(𝛾)：\u53ea\u6709\u5f53\u6ca1\u6709\u4efb\u4f55\u5df2\u5b89\u88c5\u7ea4\u7ef4\u518d\u628a\u952e\u89e3\u6790\u5230 𝑛 \u65f6，\u624d\u5141\u8bb8\u8fd0\u884c\u9006\u51fd\u6570\u5e76\u771f\u6b63\u64a4\u56de\u3002\u8fd9\u4e2a\u5b88\u536b\u662f"\u6309\u7ed1\u5b9a"\u7684\u2014\u2014\u53ea\u6709\u90a3\u4e9b\u786e\u5b9e\u58f0\u660e\u4e86 𝑛 \u63d0\u4f9b\u7684\u952e\u7684\u7ea4\u7ef4\u624d\u7b97\u969c\u788d，\u6ca1\u58f0\u660e\u7684\u65e0\u5173\u3002\u8fd9\u907f\u514d\u4e86"\u65e0\u5173\u7ea4\u7ef4\u6321\u4f4f\u5378\u8f7d"\u7684\u95ee\u9898\u3002<\/p>\n
\u4e3a\u4ec0\u4e48\u4e0d\u4f1a\u6b7b\u9501？ \u8fd9\u662f\u6574\u4e2a\u8bbe\u8ba1\u7684\u7cbe\u9ad3\u3002\u4e00\u4e2a\u666e\u901a\u7684"\u7b49\u5f85\u4f9d\u8d56\u8005\u79bb\u5f00"\u5b88\u536b\u6781\u6613\u6b7b\u9501：\u5982\u679c\u4f9d\u8d56\u8005\u6c38\u8fdc\u4e0d\u79bb\u5f00，\u63d0\u4f9b\u8005\u5c31\u6c38\u8fdc\u5361\u5728 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u3002\u4f46\u8fd9\u91cc\u6709\u4e00\u4e2a\u7cbe\u5de7\u7684\u53cd\u9988\u73af：L-Leave \u8ba9 𝑛 \u7684\u8868\u79bb\u5f00 𝜎𝛾 \u2192 𝑛 \u4e0d\u518d\u662f\u4efb\u4f55\u952e\u7684\u63d0\u4f9b\u8005 \u2192 \u6240\u6709\u4f9d\u8d56 𝑛 \u7684\u7ea4\u7ef4\u7684\u76ee\u6807\u89c6\u56fe\u90fd\u53d8\u4e86（\u8981\u4e48\u53d8 \u22a5 \u8981\u4e48\u53d8\u522b\u7684\u63d0\u4f9b\u8005）\u2192 \u8fd9\u4e9b\u7ea4\u7ef4\u4e5f\u89e6\u53d1 L-Leave \u2192 \u5b83\u4eec\u4e5f\u8fdb\u5165 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u2192 \u5b83\u4eec\u4e5f\u4e0d\u518d\u88ab 𝜎𝛾 \u8ba1\u5165 \u2192 \u4f9d\u8d56\u5b83\u4eec\u7684\u7ea4\u7ef4\u4e5f\u5f00\u59cb\u79bb\u5f00\u2026\u2026\u8fd9\u662f\u4e00\u4e2a\u6cbf\u7740\u534f\u540c\u6548\u5e94\u4f9d\u8d56\u56fe\u7684"\u81ea\u4f20\u64ad\u7184\u706d"\u8fc7\u7a0b\u3002Theorem 66 \u628a\u5b83\u8bc1\u660e\u4e3a"\u5b88\u536b\u603b\u4f1a\u91ca\u653e"\u3002<\/p>\n
\u4e0e Cordis\/DSH \u5b9e\u8df5\u7684\u5bf9\u5e94\u3002 \u8fd9\u6b63\u662f\u7ec4\u4ef6\u751f\u547d\u5468\u671f\u91cc"\u4f18\u96c5\u505c\u673a"（graceful shutdown）\u7684\u5f62\u5f0f\u5316：\u4e00\u4e2a\u88ab\u4f9d\u8d56\u7684\u670d\u52a1\u6536\u5230\u5378\u8f7d\u4fe1\u53f7\u540e，\u5148\u505c\u6b62\u63a5\u6536\u65b0\u4f9d\u8d56\u8005（L-Leave），\u7b49\u6240\u6709\u73b0\u6709\u4f9d\u8d56\u8005\u90fd\u5b8c\u6210\u62c6\u5378\u540e，\u624d\u771f\u6b63\u91ca\u653e\u81ea\u5df1\u6301\u6709\u7684\u8d44\u6e90（L-Unload）\u3002\u5b83\u4e5f\u5bf9\u5e94\u70ed\u91cd\u8f7d\u573a\u666f：\u66ff\u6362\u4e00\u4e2a logger \u5b9e\u73b0\u65f6，\u5148\u8ba9\u6240\u6709\u4f7f\u7528\u65e7 logger \u7684\u7ec4\u4ef6\u9010\u4e2a\u5207\u6362\/\u62c6\u5378，\u6700\u540e\u624d\u9500\u6bc1\u65e7 logger\u3002\u5b88\u536b\u7684\u5b58\u5728\u4fdd\u8bc1\u4e86"\u5148\u505c\u6d88\u8d39\u8005\u3001\u518d\u505c\u63d0\u4f9b\u8005"\u7684\u56e0\u679c\u987a\u5e8f\u2014\u2014\u8fd9\u5c31\u662f\u7a7a\u95f4\u53ef\u7ec4\u5408\u6027（4.4.3）\u7684\u6765\u6e90\u3002\u6ce8\u610f\u5b88\u536b\u53ea\u6cbf\u534f\u540c\u6548\u5e94\u6392\u5e8f，\u4e0d\u6cbf\u7ea4\u7ef4\u6811\u6392\u5e8f：\u7236\u53ef\u4ee5\u5148\u4e8e\u5b50\u8fd0\u884c\u9006\u51fd\u6570，\u7236\u5b50\u5728\u73af\u5883\u72b6\u6001\u4e0a\u7684\u4ea4\u53c9\u5219\u7531\u72ec\u7acb\u6027\u5047\u8bbe（\u5b9a\u4e4960）\u6cbb\u7406\u2014\u2014\u8fd9\u662f\u4e00\u4e2a\u6bd4"\u4e25\u683c\u6811\u5f62\u62c6\u5378"\u66f4\u5f31\u3001\u4f46\u66f4\u7075\u6d3b\u7684\u7eaa\u5f8b\u3002<\/p>\n
An activation may execute multiple effects in sequence, and the deactivation must recover them. We model such an activation with an effect iterator, each of whose iterations yields the modified context, an inverse, and a continuation.<\/p>\n
Definition 51. Define the effect iterator 𝔈iter\u0393 and witnessed effect iterator 𝔈iter\u2217\u0393 as the recursive types:
\n𝔈iter\u0393 \u2254 𝜇\u2111. \u0393 \u2192 \u0393 \u00d7 (\u0393 \u2192 \u0393) \u00d7 𝖬𝖺𝗒𝖻𝖾(\u2111)
\n𝔈iter\u2217\u0393 \u2254 𝜇\u2111. (𝑒 : \u0393 \u2192 \u0393 \u00d7 (\u0393 \u2192 \u0393) \u00d7 𝖬𝖺𝗒𝖻𝖾(\u2111)) \u00d7 ((𝛾 : \u0393) \u2192 (𝐥𝐞𝐭 (𝛿, 𝑔, 𝑜) = 𝑒(𝛾) 𝐢𝐧 𝑔(𝛿) \u2243 𝛾))
\nwhere 𝑒(𝛾) yields a triple (𝛿, 𝑔, 𝑜): 𝛿 is the new context; 𝑔 is the inverse function of the current effect; 𝑜 indicates the continuation: 𝖭𝗈𝗍𝗁𝗂𝗇𝗀 signals termination; 𝖩𝗎𝗌𝗍(𝑖) provides the next iteration.<\/p>\n
Definition 52. Define the effect iterator transformation effectiter\u0393 as:
\neffectiter\u0393 = 𝑖 \u21a6 (𝛾, 𝜑) \u21a6 𝐥𝐞𝐭 (𝛿, 𝑔, 𝑜) = 𝑖(𝛾) 𝐢𝐧 𝐥𝐞𝐭 𝑡 = track\u0393(𝑔, pr1 \u2218 𝑖) 𝐢𝐧 𝐦𝐚𝐭𝐜𝐡 𝑜 | 𝖭𝗈𝗍𝗁𝗂𝗇𝗀 \u21d2 ((𝛿, 𝜑 \u2218 𝑔), 𝑡) | 𝖩𝗎𝗌𝗍(𝑖\u2032) \u21d2 𝐥𝐞𝐭 (𝑠, 𝑟) = effectiter\u0393(𝑖\u2032)(𝛿, 𝜑 \u2218 𝑔) 𝐢𝐧 (𝑠, 𝑡 \u2218 𝑟)
\nAt each iteration, the inverse 𝑔 is composed onto 𝜑 in application order, so the accumulator 𝜑 \u2218 𝑔1 \u2218 \u22ef \u2218 𝑔𝑘 naturally recovers effects in LIFO order when applied. The 𝖬𝖺𝗒𝖻𝖾(𝔈iter) continuation makes a boundary available between any two consecutive iterations. In this sense the effect iterator is a reified delimited continuation, the structure that mainstream languages expose through the yield operator, so the model maps directly onto the generators they already provide.<\/p>\n
𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u22a5) 𝜔 = target𝑛(𝛾) \u2260 \u22a5
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 L-Begin
\n𝛾 \u27f6 𝛾[𝜃𝑛 \u21a6 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑒𝑛, id\u0393, 𝜔)]<\/p>\n
𝜃𝑛 = 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑖, 𝑔, 𝜔) target𝑛(𝛾) \u2260 𝜔 (𝛿, \u210e) = (𝛾, id\u0393) \u2228 𝑖(𝛾) = (𝛿, \u210e, \u2212)
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 L-Divert
\n𝛾 \u27f6 𝛿[𝜃𝑛 \u21a6 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔 \u2218 \u210e, 𝜔, \u22a5)]<\/p>\n
𝜃𝑛 = 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑖, 𝑔, 𝜔) target𝑛(𝛾) = 𝜔 𝑖(𝛾) = (𝛿, \u210e, 𝖩𝗘(𝑖\u2032))
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 L-Iter
\n𝛾 \u27f6 𝛿[𝜃𝑛 \u21a6 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑖\u2032, 𝑔 \u2218 \u210e, 𝜔)]<\/p>\n
𝜃𝑛 = 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑖, 𝑔, 𝜔) target𝑛(𝛾) = 𝜔 𝑖(𝛾) = (𝛿, \u210e, 𝖭𝗈𝗍𝗁𝗂𝗇𝗀)
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 L-Finish
\n𝛾 \u27f6 𝛿[𝜃𝑛 \u21a6 𝖠𝖼𝗍𝗂𝗏𝖾(𝑔 \u2218 \u210e, 𝜔)]<\/p>\n
Each iteration composes the newly yielded inverse onto the accumulator as 𝑔 \u2218 \u210e, so that the accumulator applies the inverses in last-in-first-out order. Between any two consecutive iterations the system may divert the transition if its target view has changed, applying the inverse accumulated so far to recover the context. L-Divert routes through 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 like every other deactivation rather than applying the accumulator where it stands.<\/p>\n
\u4e00\u6b21\u6fc0\u6d3b\u53ef\u80fd\u4f9d\u6b21\u6267\u884c\u591a\u4e2a\u6548\u5e94，\u800c\u53bb\u6fc0\u6d3b\u5fc5\u987b\u6062\u590d\u5b83\u4eec\u3002\u6211\u4eec\u7528\u6548\u5e94\u8fed\u4ee3\u5668（effect iterator）\u5efa\u6a21\u8fd9\u6837\u7684\u6fc0\u6d3b，\u5176\u6bcf\u6b21\u8fed\u4ee3\u4ea7\u51fa\u4fee\u6539\u540e\u7684\u4e0a\u4e0b\u6587\u3001\u4e00\u4e2a\u9006\u3001\u548c\u4e00\u4e2a\u7eed\u5ef6\u3002<\/p>\n
\u5b9a\u4e49 51\u3002 \u5b9a\u4e49\u6548\u5e94\u8fed\u4ee3\u5668 𝔈iter\u0393 \u4e0e\u88ab\u89c1\u8bc1\u7684\u6548\u5e94\u8fed\u4ee3\u5668 𝔈iter\u2217\u0393 \u4e3a\u5982\u4e0b\u9012\u5f52\u7c7b\u578b：
\n𝔈iter\u0393 \u2254 𝜇\u2111. \u0393 \u2192 \u0393 \u00d7 (\u0393 \u2192 \u0393) \u00d7 𝖬𝖺𝗒𝖻𝖾(\u2111)
\n𝔈iter\u2217\u0393 \u2254 𝜇\u2111. (𝑒 : \u0393 \u2192 \u0393 \u00d7 (\u0393 \u2192 \u0393) \u00d7 𝖬𝖺𝗒𝖻𝖾(\u2111)) \u00d7 ((𝛾 : \u0393) \u2192 (𝐥𝐞𝐭 (𝛿, 𝑔, 𝑜) = 𝑒(𝛾) 𝐢𝐧 𝑔(𝛿) \u2243 𝛾))
\n\u5176\u4e2d 𝑒(𝛾) \u4ea7\u51fa\u4e09\u5143\u7ec4 (𝛿, 𝑔, 𝑜)：𝛿 \u662f\u65b0\u4e0a\u4e0b\u6587；𝑔 \u662f\u5f53\u524d\u6548\u5e94\u7684\u9006\u51fd\u6570；𝑜 \u6307\u793a\u7eed\u5ef6：𝖭𝗈𝗍𝗁𝗂𝗇𝗀 \u8868\u793a\u8fed\u4ee3\u7ec8\u6b62；𝖩𝗎𝗌𝗍(𝑖) \u63d0\u4f9b\u4e0b\u4e00\u6b21\u8fed\u4ee3\u3002\u89c1\u8bc1\u6761\u4ef6 𝑔(𝛿) \u2243 𝛾 \u4fdd\u8bc1\u6bcf\u6b21\u8fed\u4ee3\u53ef\u9006\u3002<\/p>\n
\u5b9a\u4e49 52\u3002 \u5b9a\u4e49\u6548\u5e94\u8fed\u4ee3\u5668\u53d8\u6362 effectiter\u0393：\u6bcf\u6b21\u8fed\u4ee3\u628a\u9006 𝑔 \u4ee5\u5e94\u7528\u987a\u5e8f\u7ec4\u5408\u5230 𝜑 \u4e0a，\u56e0\u6b64\u7d2f\u52a0\u5668 𝜑 \u2218 𝑔1 \u2218 \u22ef \u2218 𝑔𝑘 \u5728\u5e94\u7528\u65f6\u81ea\u7136\u4ee5\u540e\u8fdb\u5148\u51fa（LIFO）\u987a\u5e8f\u6062\u590d\u6548\u5e94\u3002𝖬𝖺𝗒𝖻𝖾(𝔈iter) \u7eed\u5ef6\u5728\u4efb\u610f\u4e24\u6b21\u8fde\u7eed\u8fed\u4ee3\u4e4b\u95f4\u63d0\u4f9b\u4e00\u4e2a\u8fb9\u754c\u3002\u5728\u8fd9\u4e2a\u610f\u4e49\u4e0a，\u6548\u5e94\u8fed\u4ee3\u5668\u662f\u4e00\u4e2a\u5177\u4f53\u5316\u7684\u9650\u5b9a\u7eed\u5ef6（reified delimited continuation），\u5373\u4e3b\u6d41\u8bed\u8a00\u901a\u8fc7 yield \u64cd\u4f5c\u7b26\u66b4\u9732\u7684\u7ed3\u6784，\u56e0\u6b64\u8be5\u6a21\u578b\u53ef\u76f4\u63a5\u6620\u5c04\u5230\u5b83\u4eec\u5df2\u63d0\u4f9b\u7684\u751f\u6210\u5668（generator）\u3002<\/p>\n
L-Begin（\u5f00\u59cb）： \u5f53\u7ea4\u7ef4 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u22a5) \u4e14\u76ee\u6807\u89c6\u56fe 𝜔 \u2260 \u22a5 \u65f6，\u8fdb\u5165 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀，\u643a\u5e26\u6574\u4e2a\u6548\u5e94\u51fd\u6570 𝑒𝑛 \u4f5c\u4e3a\u8fed\u4ee3\u5668\u3001\u7a7a\u7d2f\u52a0\u5668 id\u0393\u3001\u5df2\u63d0\u4ea4\u89c6\u56fe 𝜔\u3002<\/p>\n
L-Iter（\u8fed\u4ee3）： \u5f53\u7ea4\u7ef4 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u3001\u76ee\u6807\u89c6\u56fe\u4ecd\u7b49\u4e8e 𝜔\u3001\u4e14\u672c\u6b21\u8fed\u4ee3\u4ea7\u51fa\u7eed\u5ef6 𝖩𝗎𝗌𝗍(𝑖\u2032) \u65f6，\u5e94\u7528\u672c\u6b21\u8fed\u4ee3\u7684\u72b6\u6001\u6620\u5c04，\u628a\u65b0\u9006 \u210e \u7ec4\u5408\u5230\u7d2f\u52a0\u5668 𝑔 \u2218 \u210e，\u5e26\u7740\u4e0b\u4e00\u6b21\u8fed\u4ee3\u5668 𝑖\u2032 \u7ee7\u7eed\u505c\u7559\u5728 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u3002<\/p>\n
L-Finish（\u5b8c\u6210）： \u5f53\u7ea4\u7ef4 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u3001\u76ee\u6807\u89c6\u56fe\u4ecd\u7b49\u4e8e 𝜔\u3001\u4e14\u672c\u6b21\u8fed\u4ee3\u4ea7\u51fa 𝖭𝗈𝗍𝗁𝗂𝗇𝗀（\u7ec8\u6b62）\u65f6，\u5e94\u7528\u6700\u540e\u4e00\u6b21\u8fed\u4ee3\u7684\u72b6\u6001\u6620\u5c04，\u7ec4\u5408\u6700\u540e\u9006，\u628a\u7ea4\u7ef4\u7f6e\u4e3a 𝖠𝖼𝗍𝗂𝗏𝖾(𝑔 \u2218 \u210e, 𝜔)\u3002<\/p>\n
L-Divert（\u8f6c\u5411）： \u5f53\u7ea4\u7ef4 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u4f46\u76ee\u6807\u89c6\u56fe\u5df2\u4e0d\u518d\u662f 𝜔 \u65f6，\u8981\u4e48\u653e\u5f03\u6b63\u5728\u8fdb\u884c\u7684\u8fed\u4ee3（\u53d6 (𝛾, id\u0393)），\u8981\u4e48\u8ba9\u672c\u6b21\u8fed\u4ee3\u843d\u5730（\u53d6 𝑖(𝛾) = (𝛿, \u210e, \u2212)），\u7136\u540e\u8f6c\u5165 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔 \u2218 \u210e, 𝜔, \u22a5)\u3002\u5b83\u50cf\u6240\u6709\u5176\u4ed6\u53bb\u6fc0\u6d3b\u4e00\u6837\u7ecf\u7531 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u8def\u7531，\u800c\u4e0d\u662f\u5c31\u5730\u5e94\u7528\u7d2f\u52a0\u5668\u3002<\/p>\n
\u6bcf\u6b21\u8fed\u4ee3\u628a\u65b0\u4ea7\u51fa\u7684\u9006\u4ee5 𝑔 \u2218 \u210e \u7ec4\u5408\u5230\u7d2f\u52a0\u5668\u4e0a，\u4f7f\u7d2f\u52a0\u5668\u4ee5\u540e\u8fdb\u5148\u51fa\u987a\u5e8f\u5e94\u7528\u5404\u9006\u3002\u5728\u4efb\u610f\u4e24\u6b21\u8fde\u7eed\u8fed\u4ee3\u4e4b\u95f4，\u82e5\u76ee\u6807\u89c6\u56fe\u5df2\u53d8，\u7cfb\u7edf\u53ef\u4ee5\u8f6c\u5411\u8fd9\u6b21\u8f6c\u6362，\u5e94\u7528\u8fc4\u4eca\u7d2f\u79ef\u7684\u9006\u6765\u6062\u590d\u4e0a\u4e0b\u6587\u3002<\/p>\n
\u672c\u8282\u628a"\u6fc0\u6d3b\u662f\u4e00\u4e2a\u539f\u5b50\u7684\u3001\u4e00\u6b21\u6027\u6267\u884c\u5168\u90e8\u6548\u5e94\u7684\u52a8\u4f5c"\u8fd9\u4e00\u5047\u8bbe\u62c6\u788e：\u4e00\u6b21\u6fc0\u6d3b\u53ef\u4ee5\u7531\u591a\u6b21\u8fed\u4ee3\u7ec4\u6210，\u6bcf\u6b21\u8fed\u4ee3\u662f\u4e00\u4e2a\u53ef\u4e2d\u65ad\u7684\u8fb9\u754c\u3002 \u8fd9\u5bf9\u5e94\u73b0\u5b9e\u91cc\u4e00\u4e2a\u7ec4\u4ef6\u7684\u521d\u59cb\u5316\u5f80\u5f80\u4e0d\u662f\u4e00\u884c\u4ee3\u7801，\u800c\u662f\u5206\u9636\u6bb5\u7684\u2014\u2014\u5148\u6253\u5f00\u6587\u4ef6\u3001\u518d\u5efa\u7acb\u8fde\u63a5\u3001\u518d\u542f\u52a8\u540e\u53f0\u7ebf\u7a0b\u2014\u2014\u6bcf\u4e2a\u9636\u6bb5\u90fd\u8d21\u732e\u4e00\u90e8\u5206\u526f\u4f5c\u7528，\u4e5f\u90fd\u9700\u8981\u4e00\u4e2a\u9006（\u5173\u95ed\u6587\u4ef6\u3001\u65ad\u5f00\u8fde\u63a5\u3001\u505c\u6b62\u7ebf\u7a0b）\u3002<\/p>\n
\u6548\u5e94\u8fed\u4ee3\u5668\u662f\u4e00\u4e2a"\u5177\u4f53\u5316\u7684\u9650\u5b9a\u7eed\u5ef6"\u3002 \u8bba\u6587\u660e\u786e\u6307\u51fa\u5b83\u6620\u5c04\u5230\u4e3b\u6d41\u8bed\u8a00\u7684 yield\/\u751f\u6210\u5668：\u6bcf\u6b21\u8c03\u7528 𝑖(𝛾) \u4ea7\u51fa (𝛿, 𝑔, 𝑜)，𝛿 \u662f\u5f53\u524d\u9636\u6bb5\u6267\u884c\u540e\u7684\u65b0\u4e0a\u4e0b\u6587，𝑔 \u662f\u8fd9\u4e2a\u9636\u6bb5\u7684\u9006，𝑜 \u662f\u7eed\u5ef6（\u8981\u4e48 𝖭𝗈𝗍𝗁𝗂𝗇𝗀 \u8868\u793a"\u6211\u6267\u884c\u5b8c\u4e86"，\u8981\u4e48 𝖩𝗎𝗌𝗍(𝑖\u2032) \u8868\u793a"\u8fd8\u6709\u4e0b\u4e00\u9636\u6bb5"）\u3002\u8fd9\u5c31\u50cf Python \u751f\u6210\u5668 yield \u51fa\u4e00\u4e2a\u503c\u540e\u6682\u505c，\u8c03\u7528\u65b9\u53ef\u4ee5\u7ee7\u7eed next \u63a8\u8fdb，\u4e5f\u53ef\u4ee5\u4e2d\u9014 close \u63d0\u524d\u7ec8\u6b62\u3002\u88ab\u89c1\u8bc1\u7248\u672c 𝔈iter\u2217\u0393 \u591a\u4e86\u4e00\u4e2a\u6761\u4ef6 𝑔(𝛿) \u2243 𝛾，\u4fdd\u8bc1\u6bcf\u6b21\u8fed\u4ee3\u90fd\u662f\u53ef\u9006\u7684\u2014\u2014\u8fd9\u662f\u6062\u590d\u7cbe\u786e\u6027\u7684\u9010\u8fed\u4ee3\u7248\u672c\u3002<\/p>\n
\u7d2f\u52a0\u5668\u7684 LIFO \u7ec4\u5408\u662f\u5173\u952e\u3002 \u6bcf\u6b21\u8fed\u4ee3\u628a\u65b0\u9006 \u210e \u7ec4\u5408\u5230\u7d2f\u52a0\u5668 𝑔 \u2218 \u210e \u4e0a（\u5373\u65b0\u9006\u5148\u5e94\u7528）\u3002\u8fd9\u610f\u5473\u7740\u5982\u679c\u6fc0\u6d3b\u987a\u5e8f\u662f"\u6253\u5f00\u6587\u4ef6 \u2192 \u5efa\u7acb\u8fde\u63a5 \u2192 \u542f\u52a8\u7ebf\u7a0b"，\u90a3\u4e48\u5378\u8f7d\u987a\u5e8f\u81ea\u7136\u5c31\u662f"\u505c\u6b62\u7ebf\u7a0b \u2192 \u65ad\u5f00\u8fde\u63a5 \u2192 \u5173\u95ed\u6587\u4ef6"\u2014\u2014\u540e\u542f\u52a8\u7684\u5148\u56de\u6536，\u8fd9\u6b63\u662f\u8d44\u6e90\u7ba1\u7406\u7684\u6807\u51c6\u6808\u5f0f\u7eaa\u5f8b\u3002\u8fd9\u4e0e try\/finally\u3001RAII\u3001defer \u7684\u8bed\u4e49\u5b8c\u5168\u4e00\u81f4，\u4f46\u8fd9\u91cc\u5b83\u88ab\u5f62\u5f0f\u5316\u4e3a\u7d2f\u52a0\u5668 𝑔 \u7684\u4ee3\u6570\u7ec4\u5408\u3002<\/p>\n
L-Begin \/ L-Iter \/ L-Finish \u4e09\u6761\u89c4\u5219\u63cf\u8ff0\u4e86\u4e00\u6b21\u6210\u529f\u6fc0\u6d3b\u7684\u5b8c\u6574\u8f68\u8ff9\u3002 L-Begin \u4ece 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 \u8fdb\u5165 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀，\u643a\u5e26\u6574\u4e2a\u6548\u5e94\u51fd\u6570 𝑒𝑛 \u4f5c\u4e3a\u5f85\u6267\u884c\u7684\u8fed\u4ee3\u5668；L-Iter \u53cd\u590d\u63a8\u8fdb，\u6bcf\u6b21\u5e94\u7528\u4e00\u4e2a\u9636\u6bb5\u3001\u7d2f\u79ef\u4e00\u4e2a\u9006；L-Finish \u5728\u6700\u540e\u4e00\u6b21\u8fed\u4ee3\u4ea7\u51fa 𝖭𝗈𝗍𝗁𝗂𝗇𝗀 \u65f6\u6536\u5c3e，\u8fdb\u5165 𝖠𝖼𝗍𝗂𝗏𝖾\u3002\u8fd9\u4e09\u6761\u89c4\u5219\u90fd\u5e26\u524d\u63d0 target𝑛(𝛾) = 𝜔\u2014\u2014\u53ea\u6709\u5728\u76ee\u6807\u89c6\u56fe\u6ca1\u53d8\u7684\u60c5\u51b5\u4e0b\u624d\u80fd\u7ee7\u7eed\u63a8\u8fdb\u3002\u8fd9\u662f\u4e00\u4e2a\u5f3a\u7ea6\u675f：\u5982\u679c\u5728\u591a\u9636\u6bb5\u6fc0\u6d3b\u7684\u4e2d\u9014，\u73af\u5883\u53d8\u4e86（\u6bd4\u5982\u67d0\u4e2a\u4f9d\u8d56\u6d88\u5931\u4e86），\u4e0d\u80fd\u7ee7\u7eed\u5b89\u88c5\u66f4\u591a\u6548\u5e94\u3002<\/p>\n
L-Divert \u5904\u7406"\u4e2d\u9014\u73af\u5883\u53d8\u4e86"\u7684\u60c5\u51b5\u3002 \u5b83\u6709\u4e24\u79cd\u9009\u62e9：\u7b2c\u4e00\u79cd（\u53d6 (𝛾, id\u0393)）\u653e\u5f03\u6b63\u5728\u8fdb\u884c\u7684\u8fed\u4ee3，\u76f8\u5f53\u4e8e"\u8fd8\u6ca1\u5f00\u59cb\u8fd9\u6b21\u8fed\u4ee3\u5c31\u53d1\u73b0\u76ee\u6807\u53d8\u4e86，\u76f4\u63a5\u9000\u51fa"；\u7b2c\u4e8c\u79cd\u8ba9\u672c\u6b21\u8fed\u4ee3\u843d\u5730\u540e\u518d\u9000\u51fa\u3002\u65e0\u8bba\u54ea\u79cd，\u90fd\u8f6c\u5165 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u800c\u975e 𝖠𝖼𝗍𝗂𝗏𝖾\u2014\u2014\u8fd9\u4e00\u70b9\u81f3\u5173\u91cd\u8981：\u7edd\u4e0d\u8ba9\u81ea\u5df1\u77ed\u6682\u5730\u6210\u4e3a 𝖠𝖼𝗍𝗂𝗏𝖾 \u4ece\u800c\u66b4\u9732\u7ed9\u4f9d\u8d56\u8005，\u56e0\u4e3a\u4e00\u4e2a\u6b63\u5728\u9000\u51fa\u7684\u7ec4\u4ef6\u4e0d\u8be5\u88ab\u522b\u4eba\u5f53\u4f5c\u7a33\u5b9a\u7684\u63d0\u4f9b\u8005\u6fc0\u6d3b\u3002L-Divert \u5728 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u9047\u5230\u7684\u5b88\u536b\u662f\u7a7a\u6ee1\u8db3\u7684（vacuous）\u2014\u2014\u56e0\u4e3a\u5b83\u4ece\u672a 𝖠𝖼𝗍𝗂𝗏𝖾 \u8fc7，\u6ca1\u4eba\u628a\u952e\u89e3\u6790\u5230\u5b83\u3002\u7b2c\u4e00\u79cd\u9009\u62e9（\u653e\u5f03\u8fed\u4ee3）\u53ea\u6709\u5728\u8fed\u4ee3\u8fb9\u754c\u624d\u53ef\u80fd，\u6240\u4ee5"\u8f6c\u5411\u80fd\u53d1\u751f\u7684\u7c92\u5ea6\u5c31\u662f\u8fed\u4ee3\u5668\u7684\u7c92\u5ea6"\u2014\u2014\u8fd9\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u9700\u8981\u8fed\u4ee3\u5668：\u5b83\u7ed9\u51fa\u4e86\u4e2d\u9014\u53ef\u4e2d\u65ad\u7684\u70b9\u3002\u7b2c\u4e8c\u79cd\u9009\u62e9\u6b63\u662f 4.3.3 \u5f02\u6b65\u6240\u5fc5\u9700\u7684\u3002<\/p>\n
\u9000\u5316\u60c5\u5f62： \u666e\u901a\u7684\u539f\u5b50\u6548\u5e94\u51fd\u6570 𝔈\u0393 \u5c31\u662f"\u7b2c\u4e00\u6b21\u8fed\u4ee3\u5c31\u4ea7\u51fa 𝖭𝗈𝗍𝗁𝗂𝗇𝗀"\u7684\u9000\u5316\u8fed\u4ee3\u5668\u2014\u2014\u5b83\u4ecd\u7136\u7ecf\u8fc7 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u3001L-Divert \u4ecd\u9002\u7528，\u4f46\u7d2f\u52a0\u5668\u662f id\u0393\u3001\u6ca1\u8fd0\u884c\u8fc7\u8fed\u4ee3，\u6240\u4ee5\u8981\u4e48\u5168\u90e8\u5b89\u88c5\u3001\u8981\u4e48\u4e00\u4e2a\u90fd\u4e0d\u88c5\u3002\u8fd9\u4fdd\u8bc1\u4e86"\u5168\u6709\u6216\u5168\u65e0"\u7684\u539f\u5b50\u6027\u5728\u591a\u9636\u6bb5\u6a21\u578b\u91cc\u4ecd\u7136\u6210\u7acb\u3002<\/p>\n
\u4e0e Cordis\/DSH \u5b9e\u8df5\u7684\u5bf9\u5e94\u3002 \u5b9e\u73b0\u91cc\u6bcf\u4e2a\u53d8\u66f4\u70b9\u90fd\u5141\u8bb8\u4e00\u4e2a\u8fed\u4ee3\u5668（\u7b2c5.1.1\u8282），\u8fd9\u5bf9\u5e94\u4e00\u4e2a\u7ec4\u4ef6\u7684 install\/uninstall \u53ef\u4ee5\u662f\u5206\u9636\u6bb5\u7684 generator\u3002\u6bd4\u5982\u4e00\u4e2a\u63d2\u4ef6\u6fc0\u6d3b\u65f6\u53ef\u80fd yield \u591a\u6b21（\u6bcf\u6b21\u5efa\u7acb\u4e00\u79cd\u8d44\u6e90），\u5378\u8f7d\u65f6\u6309\u9006\u5e8f\u56de\u6536\u3002L-Divert \u7684\u7b2c\u4e00\u79cd\u9009\u62e9\u5bf9\u5e94"\u70ed\u91cd\u8f7d\u65f6\u53d1\u73b0\u4f9d\u8d56\u5df2\u53d8，\u7acb\u523b\u56de\u6eda\u5c1a\u672a\u63d0\u4ea4\u7684\u9636\u6bb5"\u2014\u2014\u8fd9\u6b63\u662f\u70ed\u91cd\u8f7d（hot reload）\u5b89\u5168\u6027\u7684\u8bed\u4e49\u57fa\u7840：\u4f60\u4e0d\u4f1a\u628a\u534a\u4e2a\u72b6\u6001\u7559\u5728\u7cfb\u7edf\u91cc\u3002<\/p>\n
The layers so far let the environment move between one iteration and the next, and assume that each iteration itself completes instantaneously, its launch and its landing being one step. We model non-immediacy abstractly: an iteration yields a value of type 𝖥𝗎𝗍𝗎𝗋𝖾(𝐴), where 𝖥𝗎𝗍𝗎𝗋𝖾 is an opaque type constructor whose defining property is that between submission and resolution, external state may change.<\/p>\n
Under this model an iteration is launched at one state and lands at another, and the fiber is 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀 while it is in flight. What the layer adds is inertia: once launched, an iteration lands, and its landing cannot be declined. A target view that turns during the flight therefore cannot be answered by aborting the iteration, and only the alternative of L-Divert that lands one remains available: the iteration lands, and the fiber deactivates afterwards. This layer therefore adds no rule and no type that a rule matches on; at the granularity of \u0393 inertia is its whole content, and it takes the form of a restriction on which alternative of L-Divert a host may take.<\/p>\n
That alternative is what the base calculus could not express. There, a transition whose target view had turned was undone in the same step that discovered it; here the iteration in flight must land first, so the fiber needs somewhere to be while its inverse runs, and the only sound place is 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 holding the inverse the iteration produced. Routing through 𝖠𝖼𝗍𝗂𝗏𝖾 instead would let the fiber provide its coeffects for the length of one step and oblige its dependents to activate against a component that is already leaving. This is the mutual chaining of reload and unload in the implementation.<\/p>\n
A deactivation may also chain straight back into an activation, by a composite rather than a rule. L-Unload carries no premise on the target view, so whatever the target view has become while the fiber was deactivating, the accumulator runs and the fiber becomes 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾, from which L-Begin may immediately start a new transition.<\/p>\n
\u5230\u6b64\u4e3a\u6b62\u7684\u5404\u5c42\u5141\u8bb8\u73af\u5883\u5728\u4e00\u6b21\u8fed\u4ee3\u4e0e\u4e0b\u4e00\u6b21\u8fed\u4ee3\u4e4b\u95f4\u79fb\u52a8，\u4f46\u5047\u8bbe\u6bcf\u6b21\u8fed\u4ee3\u672c\u8eab\u77ac\u65f6\u5b8c\u6210\u2014\u2014\u5176\u53d1\u8d77\u4e0e\u843d\u5b9a\u662f\u4e00\u6b65\u3002\u6211\u4eec\u62bd\u8c61\u5730\u5efa\u6a21\u975e\u5373\u65f6\u6027（non-immediacy）：\u4e00\u6b21\u8fed\u4ee3\u4ea7\u51fa\u4e00\u4e2a\u7c7b\u578b\u4e3a 𝖥𝗎𝗍𝗎𝗋𝖾(𝐴) \u7684\u503c，\u5176\u4e2d 𝖥𝗎𝗍𝗎𝗋𝖾 \u662f\u4e00\u4e2a\u4e0d\u900f\u660e\u7c7b\u578b\u6784\u9020\u5b50，\u5176\u5b9a\u4e49\u6027\u8d28\u662f：\u5728\u63d0\u4ea4\u4e0e\u89e3\u6790\u4e4b\u95f4，\u5916\u90e8\u72b6\u6001\u53ef\u80fd\u6539\u53d8\u3002<\/p>\n
\u5728\u6b64\u6a21\u578b\u4e0b，\u4e00\u6b21\u8fed\u4ee3\u5728\u4e00\u4e2a\u72b6\u6001\u53d1\u8d77\u3001\u5728\u53e6\u4e00\u4e2a\u72b6\u6001\u843d\u5b9a，\u7ea4\u7ef4\u5728\u98de\u884c\u671f\u95f4\u5904\u4e8e 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u3002\u672c\u5c42\u52a0\u5165\u7684\u662f\u60ef\u6027（inertia）：\u4e00\u65e6\u53d1\u8d77，\u4e00\u6b21\u8fed\u4ee3\u5fc5\u7136\u843d\u5b9a，\u5176\u843d\u5b9a\u4e0d\u53ef\u88ab\u62d2\u7edd\u3002\u56e0\u6b64\u98de\u884c\u671f\u95f4\u53d1\u751f\u8f6c\u6298\u7684\u76ee\u6807\u89c6\u56fe\u65e0\u6cd5\u901a\u8fc7\u653e\u5f03\u8fed\u4ee3\u6765\u56de\u5e94，L-Divert \u4e2d"\u8ba9\u8fed\u4ee3\u843d\u5730"\u7684\u90a3\u4e00\u79cd\u9009\u62e9\u624d\u662f\u552f\u4e00\u53ef\u7528\u7684：\u8fed\u4ee3\u843d\u5b9a，\u7ea4\u7ef4\u968f\u540e\u53bb\u6fc0\u6d3b\u3002\u672c\u5c42\u56e0\u6b64\u4e0d\u589e\u52a0\u4efb\u4f55\u89c4\u5219\u3001\u4e5f\u4e0d\u589e\u52a0\u4efb\u4f55\u89c4\u5219\u53ef\u5339\u914d\u7684\u7c7b\u578b；\u5728 \u0393 \u7684\u7c92\u5ea6\u4e0a，\u60ef\u6027\u5c31\u662f\u5b83\u7684\u5168\u90e8\u5185\u5bb9，\u5176\u5f62\u5f0f\u662f\u5bf9\u5bbf\u4e3b\u53ef\u53d6 L-Divert \u7684\u54ea\u4e00\u79cd\u9009\u62e9\u7684\u9650\u5236\u3002<\/p>\n
\u90a3\u4e00\u79cd\u9009\u62e9\u6b63\u662f\u57fa\u7840\u6f14\u7b97\u65e0\u6cd5\u8868\u8fbe\u7684\u3002\u5728\u90a3\u91cc，\u76ee\u6807\u89c6\u56fe\u5df2\u8f6c\u6298\u7684\u8f6c\u6362\u5728\u53d1\u73b0\u5b83\u7684\u540c\u4e00\u6b65\u91cc\u5c31\u88ab\u64a4\u9500；\u800c\u8fd9\u91cc\u98de\u884c\u4e2d\u7684\u8fed\u4ee3\u5fc5\u987b\u5148\u843d\u5b9a，\u4e8e\u662f\u7ea4\u7ef4\u9700\u8981\u4e00\u4e2a\u5730\u65b9\u5728\u5b83\u7684\u9006\u8fd0\u884c\u671f\u95f4\u6816\u8eab，\u552f\u4e00\u7a33\u59a5\u7684\u5730\u65b9\u662f 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀，\u6301\u6709\u8fed\u4ee3\u4ea7\u51fa\u7684\u9006\u3002\u82e5\u6539\u7ecf 𝖠𝖼𝗍𝗂𝗏𝖾 \u8def\u7531，\u4f1a\u8ba9\u7ea4\u7ef4\u5728\u4e00\u6b65\u7684\u957f\u5ea6\u5185\u63d0\u4f9b\u5176\u534f\u540c\u6548\u5e94，\u8feb\u4f7f\u4f9d\u8d56\u8005\u5bf9\u4e00\u4e2a\u6b63\u5728\u79bb\u5f00\u7684\u7ec4\u4ef6\u6fc0\u6d3b\u3002\u8fd9\u5c31\u662f\u5b9e\u73b0\u4e2d\u91cd\u8f7d\u4e0e\u5378\u8f7d\u7684\u76f8\u4e92\u94fe\u5f0f\u3002<\/p>\n
\u4e00\u6b21\u53bb\u6fc0\u6d3b\u4e5f\u53ef\u80fd\u76f4\u63a5\u94fe\u5f0f\u56de\u5230\u4e00\u6b21\u6fc0\u6d3b，\u7531\u4e00\u4e2a\u590d\u5408\u800c\u975e\u4e00\u6761\u89c4\u5219\u5b8c\u6210\u3002L-Unload \u4e0d\u5e26\u5173\u4e8e\u76ee\u6807\u89c6\u56fe\u7684\u524d\u63d0，\u6240\u4ee5\u65e0\u8bba\u7ea4\u7ef4\u53bb\u6fc0\u6d3b\u671f\u95f4\u76ee\u6807\u89c6\u56fe\u53d8\u6210\u4e86\u4ec0\u4e48，\u7d2f\u52a0\u5668\u90fd\u4f1a\u8fd0\u884c，\u7ea4\u7ef4\u53d8\u6210 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾，\u6b64\u540e L-Begin \u53ef\u7acb\u5373\u5f00\u542f\u4e00\u6b21\u65b0\u8f6c\u6362\u3002<\/p>\n
\u672c\u8282\u5904\u7406"\u5373\u65f6\u6027"\u5047\u8bbe\u7684\u653e\u5f03：\u4e00\u6b21\u8fed\u4ee3\u7684\u53d1\u8d77\u548c\u843d\u5b9a\u4e0d\u662f\u540c\u4e00\u77ac\u95f4\u2014\u2014\u4e2d\u95f4\u6709\u4e00\u4e2a\u5f02\u6b65\u7684"\u98de\u884c"\u7a97\u53e3，\u671f\u95f4\u5916\u90e8\u4e16\u754c\u53ef\u4ee5\u53d8\u5316\u3002 \u8fd9\u662f\u4efb\u4f55\u771f\u5b9e\u8fd0\u884c\u65f6\u90fd\u9003\u4e0d\u6389\u7684\u73b0\u5b9e：\u4e00\u4e2a\u7ec4\u4ef6\u5efa\u7acb\u6570\u636e\u5e93\u8fde\u63a5\u3001\u53d1\u8d77 HTTP \u8bf7\u6c42\u3001\u7b49\u5f85\u9501，\u8fd9\u4e9b\u90fd\u662f\u5f02\u6b65\u7684，\u5728 await \u671f\u95f4\u522b\u7684\u7ea4\u7ef4\u5b8c\u5168\u53ef\u80fd\u6539\u53d8\u7cfb\u7edf\u72b6\u6001\u3002<\/p>\n
\u6838\u5fc3\u6982\u5ff5\u662f"\u60ef\u6027"（inertia）\u3002 \u8bba\u6587\u7528\u4e00\u4e2a\u4e0d\u900f\u660e\u7684 𝖥𝗎𝗍𝗎𝗋𝖾(𝐴) \u7c7b\u578b\u62bd\u8c61\u5f02\u6b65：\u8fed\u4ee3\u53d1\u8d77\u65f6\u8fd4\u56de\u4e00\u4e2a future，\u843d\u5b9a\u65f6\u624d\u771f\u6b63\u4ea7\u51fa (𝛿, 𝑔, 𝑜)\u3002\u60ef\u6027\u7684\u542b\u4e49\u662f"\u4e00\u65e6\u53d1\u8d77，\u5fc5\u7136\u843d\u5b9a，\u4e0d\u53ef\u64a4\u56de"\u2014\u2014\u4f60\u4e0d\u80fd\u5728\u98de\u884c\u4e2d\u9014\u628a\u4e00\u4e2a\u5f02\u6b65\u64cd\u4f5c"\u53d6\u6d88\u6389"\u3002\u8fd9\u5bf9\u5e94\u771f\u5b9e\u5f02\u6b65\u7f16\u7a0b\u91cc：\u4e00\u4e2a\u5df2\u7ecf\u53d1\u51fa\u7684\u7f51\u7edc\u8bf7\u6c42，\u4f60\u901a\u5e38\u4e0d\u80fd\u771f\u6b63"\u64a4\u56de"\u5b83，\u6700\u591a\u5ffd\u7565\u5b83\u7684\u7ed3\u679c\u3002\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u8bda\u5b9e\u3001\u975e\u5e38\u8d34\u8fd1\u73b0\u5b9e\u7684\u5efa\u6a21\u3002<\/p>\n
\u672c\u8282\u4e0d\u589e\u52a0\u4efb\u4f55\u65b0\u89c4\u5219\u6216\u65b0\u7c7b\u578b，\u53ea\u589e\u52a0\u4e00\u4e2a\u5bf9 L-Divert \u7684\u9650\u5236\u3002 \u8fd9\u4e00\u70b9\u6781\u5176\u4f18\u96c5：\u5728 4.3.2 \u7684 L-Divert \u6709\u4e24\u79cd\u9009\u62e9\u2014\u2014\u201c\u653e\u5f03\u8fed\u4ee3"\u6216"\u8ba9\u8fed\u4ee3\u843d\u5730\u201d\u3002\u5f02\u6b65\u5c42\u53ea\u662f\u7981\u6b62\u5bbf\u4e3b\u4f7f\u7528"\u653e\u5f03\u8fed\u4ee3"\u90a3\u4e00\u79cd\u3002\u4e3a\u4ec0\u4e48？\u56e0\u4e3a\u98de\u884c\u4e2d\u7684\u8fed\u4ee3\u65e0\u6cd5\u88ab\u653e\u5f03（\u60ef\u6027），\u6240\u4ee5\u552f\u4e00\u9009\u62e9\u662f"\u8ba9\u8fed\u4ee3\u843d\u5730"\u2014\u2014\u4e5f\u5c31\u662f\u5148\u628a\u8fd9\u6b21\u5f02\u6b65\u64cd\u4f5c\u7684\u7ed3\u679c\u5e94\u7528\u4e0a，\u7136\u540e\u518d\u53bb\u6fc0\u6d3b\u3002\u8fd9\u628a"\u5f02\u6b65"\u4ece\u4e00\u4e2a\u5168\u65b0\u7684\u673a\u5236，\u7b80\u5316\u6210"\u5bf9\u4e00\u4e2a\u5df2\u6709\u89c4\u5219\u7684\u4e00\u4e2a\u5206\u652f\u7684\u9650\u5236"\u2014\u2014\u4f53\u73b0\u4e86\u672c\u7ae0"\u5206\u5c42\u6269\u5c55\u4e0d\u589e\u52a0\u590d\u6742\u5ea6"\u7684\u8bbe\u8ba1\u54f2\u5b66\u3002<\/p>\n
\u4e3a\u4ec0\u4e48\u5fc5\u987b\u7ecf 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u800c\u975e 𝖠𝖼𝗍𝗂𝗏𝖾 \u8def\u7531？ \u8fd9\u662f\u4e00\u4e2a\u5fae\u5999\u4f46\u5173\u952e\u7684\u5de5\u7a0b\u6b63\u786e\u6027\u8bba\u8bc1\u3002\u5047\u8bbe\u4e00\u4e2a\u5f02\u6b65\u8fed\u4ee3\u5728\u98de\u884c\u671f\u95f4，\u76ee\u6807\u89c6\u56fe\u53d8\u4e86（\u6bd4\u5982\u5b83\u7684\u67d0\u4e2a\u4f9d\u8d56\u88ab\u9000\u5f79\u4e86）\u3002\u8fed\u4ee3\u5fc5\u987b\u843d\u5730（\u60ef\u6027），\u843d\u5730\u540e\u5b83\u4ea7\u51fa\u4e86\u4e00\u4e2a\u9006\u51fd\u6570\u3002\u8fd9\u65f6\u5982\u679c\u8ba9\u7ea4\u7ef4\u77ed\u6682\u5730\u7ecf\u8fc7 𝖠𝖼𝗍𝗂𝗏𝖾，\u5b83\u5c31\u4f1a\u5728\u90a3\u4e00\u6b65\u91cc"\u66b4\u9732"\u7ed9\u4f9d\u8d56\u8005\u2014\u2014\u522b\u7684\u7ea4\u7ef4\u53ef\u80fd\u5728\u8fd9\u4e2a\u77ac\u95f4\u770b\u5230\u5b83\u6fc0\u6d3b\u4e86\u3001\u628a\u952e\u89e3\u6790\u5230\u5b83\u3001\u6fc0\u6d3b\u8d77\u6765\u3002\u4f46\u8fd9\u4e2a\u7ea4\u7ef4\u9a6c\u4e0a\u5c31\u8981\u53bb\u6fc0\u6d3b！\u4f9d\u8d56\u8005\u5c31\u4f1a\u6fc0\u6d3b\u5728\u4e00\u4e2a"\u6b63\u5728\u79bb\u5f00\u7684\u63d0\u4f9b\u8005"\u4e0a，\u9020\u6210\u4f7f\u7528\u540e\u7acb\u5373\u5931\u6548\u7684\u707e\u96be\u3002\u6240\u4ee5\u5fc5\u987b\u76f4\u63a5\u8fdb 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u2014\u2014\u5b83\u4e0d\u66b4\u9732\u7ed9\u4efb\u4f55\u4eba，\u5b89\u9759\u5730\u5b8c\u6210\u56de\u6536\u3002\u8fd9\u5bf9\u5e94\u5b9e\u73b0\u91cc"\u91cd\u8f7d\u4e0e\u5378\u8f7d\u76f8\u4e92\u94fe\u5f0f"（mutual chaining of reload and unload）\u7684\u8bed\u4e49\u3002<\/p>\n
\u53bb\u6fc0\u6d3b\u53ef\u4ee5\u94fe\u5f0f\u56de\u5230\u6fc0\u6d3b\u3002 L-Unload \u4e0d\u770b\u76ee\u6807\u89c6\u56fe，\u6240\u4ee5\u65e0\u8bba\u5378\u8f7d\u671f\u95f4\u76ee\u6807\u53d8\u6210\u4e86\u4ec0\u4e48，\u9006\u90fd\u4f1a\u8fd0\u884c\u3001\u7ea4\u7ef4\u53d8 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾，\u7136\u540e L-Begin \u53ef\u4ee5\u7acb\u523b\u5f00\u542f\u65b0\u8f6c\u6362\u3002\u8fd9\u63cf\u8ff0\u4e86\u4e00\u4e2a\u5e38\u89c1\u6a21\u5f0f：\u7ec4\u4ef6 A \u88ab\u66ff\u6362\u6210\u7ec4\u4ef6 B\u2014\u2014A \u5148\u5378\u8f7d（\u76ee\u6807\u53d8 \u22a5 \u6216\u53d8 B），\u5378\u8f7d\u5b8c\u53d8 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾，\u7136\u540e B \u7684 L-Begin \u89e6\u53d1\u3002\u8fd9\u4e0d\u662f\u4e00\u6761\u65b0\u89c4\u5219，\u800c\u662f\u5df2\u6709\u89c4\u5219\u7684\u7ec4\u5408\u2014\u2014\u4f18\u96c5\u5730\u590d\u7528\u4e86 4.3.1\/4.3.2 \u7684\u673a\u5236\u3002<\/p>\n
\u4e0e Cordis\/DSH \u5b9e\u8df5\u7684\u5bf9\u5e94\u3002 \u8fd9\u6b63\u662f\u5f02\u6b65\u7ec4\u4ef6\u751f\u547d\u5468\u671f\u7ba1\u7406\u7684\u8bed\u4e49：\u4e00\u4e2a\u7ec4\u4ef6\u7684 install \u53ef\u80fd await \u4e00\u4e2a\u8fdc\u7a0b\u914d\u7f6e\u52a0\u8f7d，\u5728 await \u671f\u95f4\u7cfb\u7edf\u7ee7\u7eed\u8fd0\u8f6c；\u52a0\u8f7d\u5b8c\u6210\u540e，\u65e0\u8bba\u4e2d\u95f4\u53d1\u751f\u4e86\u4ec0\u4e48，\u90fd\u5fc5\u987b\u5148\u628a\u8fd9\u6b21\u52a0\u8f7d\u7684\u526f\u4f5c\u7528\u5b89\u88c5\u5e76\u51c6\u5907\u597d\u9006，\u7136\u540e\u624d\u80fd\u53bb\u6fc0\u6d3b\u3002\u5b83\u4e5f\u5bf9\u5e94"\u70ed\u66ff\u6362\u4e0d\u53ef\u4e2d\u65ad\u5df2\u53d1\u51fa\u7684\u5f02\u6b65\u64cd\u4f5c"\u7684\u73b0\u5b9e\u7ea6\u675f\u2014\u2014\u4f60\u4e0d\u80fd\u56e0\u4e3a\u8981\u6362\u6389\u4e00\u4e2a\u7ec4\u4ef6\u5c31\u5f3a\u884c cancel \u5b83\u6b63\u5728\u6267\u884c\u7684 IO\u3002\u8fdb\u5ea6\u5b9a\u7406（Theorem 66）\u660e\u786e\u58f0\u660e\u5b83\u8986\u76d6\u53d7\u60ef\u6027\u7ea6\u675f\u7684\u5bbf\u4e3b（\u4e0d\u4f7f\u7528 L-Divert \u7684\u653e\u5f03\u5206\u652f），\u6240\u4ee5\u5f02\u6b65\u5bbf\u4e3b\u4e5f\u5728\u8fdb\u5c55\u6027\u4fdd\u8bc1\u4e4b\u5185\u3002<\/p>\n
Every rule so far assumes the effect it runs succeeds, and a runtime cannot. The effects a component installs reach outside the context that tracks them, and what they reach may refuse: a port already bound, a file that is not there, a peer that does not answer. A failing transition must still leave the fiber\u2019s effects recovered rather than stranded.<\/p>\n
Let \u039e be a set of errors and refine the effect iterator so that an iteration may raise in place of yielding a triple:
\n𝔈fail\u0393 \u2254 𝜇\u2111. \u0393 \u2192 𝖤𝗂𝗍𝗁𝖾𝗋(\u039e, \u0393 \u00d7 (\u0393 \u2192 \u0393) \u00d7 𝖬𝖺𝗒𝖻𝖾(\u2111))
\nThe witness constrains the 𝖱𝗂𝗀𝗁𝗍 case alone, being vacuous where the pattern does not match, a raise having nothing to undo, and the 𝑖 that 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀 carries is read at 𝔈fail\u2217\u0393 from here on. The layer adds one rule and puts the second outcome of Definition 49 to use.<\/p>\n
𝜃𝑛 = 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑖, 𝑔, 𝜔) 𝑖(𝛾) = 𝖫𝖾𝖿𝗍(𝜉)
\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 L-Raise
\n𝛾 \u27f6 𝛾[𝜃𝑛 \u21a6 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔, 𝜔, 𝜉)]<\/p>\n
L-Raise recovers before it records. The fiber routes into 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 carrying the error as its outcome, the accumulator built up to the failing iteration is applied there, and the fiber arrives at 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜉) having installed nothing, at a state differing from the one an aborting L-Divert would have produced only in the outcome the fiber carries. Routing a failure like every other deactivation is what makes every outcome reachable only through L-Unload, which is the single fact Theorem 59 turns on. L-Begin has 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u22a5) as a premise, so the lifecycle is not re-entered from an error outcome; this is the substance of the outcome, which withholds a fiber whose effect function has shown itself to be unsound in the state it ran against rather than retrying it against an unchanged environment. A failed fiber also obstructs nothing: it is 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾, so it carries no committed view and cannot make relied hold.<\/p>\n
A failure is recorded on the fiber rather than propagated to its parent, so a component whose transition fails leaves its siblings running, which is the behavior a plugin host wants and the reason the outcome is per-fiber rather than a property of the whole state.<\/p>\n
\u5230\u6b64\u4e3a\u6b62\u7684\u6bcf\u6761\u89c4\u5219\u90fd\u5047\u8bbe\u5b83\u8fd0\u884c\u7684\u6548\u5e94\u4f1a\u6210\u529f，\u800c\u8fd0\u884c\u65f6\u505a\u4e0d\u5230\u3002\u4e00\u4e2a\u7ec4\u4ef6\u5b89\u88c5\u7684\u6548\u5e94\u4f1a\u89e6\u8fbe\u8ffd\u8e2a\u5b83\u4eec\u7684\u4e0a\u4e0b\u6587\u4e4b\u5916\u7684\u4e1c\u897f，\u800c\u90a3\u4e9b\u4e1c\u897f\u53ef\u80fd\u62d2\u7edd：\u4e00\u4e2a\u5df2\u88ab\u7ed1\u5b9a\u7684\u7aef\u53e3\u3001\u4e00\u4e2a\u4e0d\u5b58\u5728\u7684\u6587\u4ef6\u3001\u4e00\u4e2a\u4e0d\u54cd\u5e94\u7684\u5bf9\u7aef\u3002\u4e00\u6b21\u5931\u8d25\u7684\u8f6c\u6362\u4ecd\u5fc5\u987b\u8ba9\u7ea4\u7ef4\u7684\u6548\u5e94\u88ab\u6062\u590d，\u800c\u975e\u6401\u6d45\u3002<\/p>\n
\u4ee4 \u039e \u4e3a\u9519\u8bef\u96c6\u5408，\u628a\u6548\u5e94\u8fed\u4ee3\u5668\u7cbe\u5316\u4e3a\u4e00\u6b21\u8fed\u4ee3\u53ef\u4ee5\u629b\u51fa（raise）\u4ee5\u66ff\u4ee3\u4ea7\u51fa\u4e09\u5143\u7ec4：
\n𝔈fail\u0393 \u2254 𝜇\u2111. \u0393 \u2192 𝖤𝗂𝗍𝗁𝖾𝗋(\u039e, \u0393 \u00d7 (\u0393 \u2192 \u0393) \u00d7 𝖬𝖺𝗒𝖻𝖾(\u2111))
\n\u89c1\u8bc1\u53ea\u7ea6\u675f 𝖱𝗂𝗀𝗁𝗍 \u7684\u60c5\u5f62，\u5728\u6a21\u5f0f\u4e0d\u5339\u914d\u5904\u4e3a\u7a7a\u6ee1\u8db3\u2014\u2014\u4e00\u6b21\u629b\u51fa\u6ca1\u4ec0\u4e48\u53ef\u64a4\u9500\u7684\u2014\u2014\u6b64\u540e 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u643a\u5e26\u7684 𝑖 \u5728 𝔈fail\u2217\u0393 \u4e0a\u8bfb\u51fa\u3002\u672c\u5c42\u589e\u52a0\u4e00\u6761\u89c4\u5219，\u5e76\u542f\u7528\u5b9a\u4e4949\u7684\u7b2c\u4e8c\u4e2a\u7ed3\u679c\u3002<\/p>\n
L-Raise（\u629b\u9519）： \u5f53\u7ea4\u7ef4 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u4e14\u672c\u6b21\u8fed\u4ee3\u629b\u51fa 𝖫𝖾𝖿𝗍(𝜉) \u65f6，\u628a\u7ea4\u7ef4\u7f6e\u4e3a 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔, 𝜔, 𝜉)，\u643a\u5e26\u9519\u8bef\u4f5c\u4e3a\u7ed3\u679c\u3002<\/p>\n
L-Raise \u5148\u6062\u590d\u518d\u8bb0\u5f55\u3002\u7ea4\u7ef4\u643a\u5e26\u9519\u8bef\u4f5c\u4e3a\u7ed3\u679c\u8def\u7531\u8fdb 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀，\u5230\u5931\u8d25\u8fed\u4ee3\u4e3a\u6b62\u6784\u5efa\u7684\u7d2f\u52a0\u5668\u5728\u90a3\u91cc\u88ab\u5e94\u7528，\u7ea4\u7ef4\u5230\u8fbe 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜉)，\u4ec0\u4e48\u4e5f\u6ca1\u5b89\u88c5\u2014\u2014\u4e0e\u4e00\u4e2a\u653e\u5f03\u5f0f L-Divert \u6240\u4f1a\u4ea7\u751f\u7684\u72b6\u6001，\u53ea\u5728\u7ea4\u7ef4\u643a\u5e26\u7684\u7ed3\u679c\u4e0a\u4e0d\u540c\u3002\u628a\u5931\u8d25\u50cf\u6240\u6709\u5176\u4ed6\u53bb\u6fc0\u6d3b\u4e00\u6837\u8def\u7531，\u4f7f\u6bcf\u4e2a\u7ed3\u679c\u53ea\u80fd\u7ecf\u7531 L-Unload \u5230\u8fbe，\u8fd9\u6b63\u662f\u5b9a\u740659\u6240\u4f9d\u636e\u7684\u552f\u4e00\u4e8b\u5b9e\u3002L-Begin \u4ee5 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u22a5) \u4e3a\u524d\u63d0，\u6240\u4ee5\u751f\u547d\u5468\u671f\u4e0d\u4f1a\u4ece\u9519\u8bef\u7ed3\u679c\u91cd\u65b0\u8fdb\u5165；\u8fd9\u5c31\u662f\u7ed3\u679c\u7684\u5b9e\u8d28：\u5b83\u6263\u7559\u4e00\u4e2a\u5176\u6548\u5e94\u51fd\u6570\u5df2\u5728\u5b83\u8fd0\u884c\u6240\u4f9d\u636e\u7684\u72b6\u6001\u4e0b\u663e\u793a\u51fa\u4e0d\u53ef\u9760\u7684\u7ea4\u7ef4，\u800c\u4e0d\u662f\u5728\u672a\u6539\u53d8\u7684\u73af\u5883\u4e0b\u91cd\u8bd5\u5b83\u3002\u4e00\u4e2a\u5931\u8d25\u7684\u7ea4\u7ef4\u4e5f\u4e0d\u963b\u788d\u4efb\u4f55\u4e1c\u897f：\u5b83\u662f 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾，\u6240\u4ee5\u4e0d\u643a\u5e26\u5df2\u63d0\u4ea4\u89c6\u56fe，\u4e5f\u4e0d\u80fd\u4f7f relied \u6210\u7acb\u3002<\/p>\n
\u5931\u8d25\u8bb0\u5f55\u5728\u7ea4\u7ef4\u4e0a\u800c\u975e\u4f20\u64ad\u7ed9\u5176\u7236，\u6240\u4ee5\u4e00\u4e2a\u8f6c\u6362\u5931\u8d25\u7684\u7ec4\u4ef6\u8ba9\u5176\u5144\u5f1f\u7ee7\u7eed\u8fd0\u884c\u2014\u2014\u8fd9\u662f\u63d2\u4ef6\u5bbf\u4e3b\u60f3\u8981\u7684\u884c\u4e3a，\u4e5f\u662f\u7ed3\u679c\u662f"\u6bcf\u7ea4\u7ef4"\u800c\u975e"\u6574\u4e2a\u72b6\u6001\u7684\u5c5e\u6027"\u7684\u539f\u56e0\u3002<\/p>\n
\u672c\u8282\u653e\u5f03\u6700\u540e\u4e00\u4e2a\u7406\u60f3\u5316\u5047\u8bbe\u2014\u2014\u201c\u4e0d\u4f1a\u5931\u8d25\u201d（infallible）\u3002\u771f\u5b9e\u8fd0\u884c\u65f6\u91cc，\u6548\u5e94\u4f1a\u89e6\u8fbe\u4e0a\u4e0b\u6587\u4e4b\u5916\u7684\u4e16\u754c，\u800c\u90a3\u4e2a\u4e16\u754c\u4f1a\u62d2\u7edd：\u7aef\u53e3\u5df2\u88ab\u5360\u7528\u3001\u6587\u4ef6\u4e0d\u5b58\u5728\u3001\u5bf9\u7aef\u4e0d\u54cd\u5e94\u3002 \u8bba\u6587\u7684\u5173\u952e\u8981\u6c42\u662f：\u4e00\u6b21\u5931\u8d25\u7684\u8f6c\u6362\u4ecd\u7136\u5fc5\u987b\u628a\u5df2\u5b89\u88c5\u7684\u6548\u5e94\u6062\u590d\u6389，\u800c\u4e0d\u662f\u8ba9\u5b83\u4eec\u6401\u6d45（stranded）\u5728\u7cfb\u7edf\u91cc\u3002<\/p>\n
L-Raise \u7684\u8bbe\u8ba1\u54f2\u5b66\u662f"\u5148\u6062\u590d，\u518d\u8bb0\u5f55"\u3002 \u5f53\u4e00\u6b21\u8fed\u4ee3\u629b\u51fa 𝖫𝖾𝖿𝗍(𝜉)，\u7ea4\u7ef4\u4e0d\u662f\u76f4\u63a5\u8fdb\u5165\u4e00\u4e2a"\u9519\u8bef"\u7ec8\u6001，\u800c\u662f\u5148\u8f6c\u5165 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀(𝑔, 𝜔, 𝜉)\u2014\u2014\u643a\u5e26\u9519\u8bef 𝜉 \u4f5c\u4e3a\u7ed3\u679c\u3002\u5728 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀，\u5230\u5931\u8d25\u8fed\u4ee3\u4e3a\u6b62\u7d2f\u79ef\u7684\u7d2f\u52a0\u5668 𝑔 \u4f1a\u88ab\u5e94\u7528（\u8fd9\u662f L-Unload \u552f\u4e00\u5e94\u7528\u7d2f\u52a0\u5668\u7684\u7279\u6743），\u628a\u5931\u8d25\u524d\u5df2\u7ecf\u5b89\u88c5\u7684\u6240\u6709\u6548\u5e94\u9010\u4e2a\u56de\u6536\u3002\u6700\u7ec8\u7ea4\u7ef4\u5230\u8fbe 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜉)\u2014\u2014\u4ec0\u4e48\u4e5f\u6ca1\u7559\u4e0b\u3002\u8fd9\u4e2a\u72b6\u6001\u548c\u4e00\u4e2a"\u653e\u5f03\u5f0f L-Divert"\u4ea7\u751f\u7684\u72b6\u6001\u51e0\u4e4e\u4e00\u6837，\u53ea\u5dee\u7ea4\u7ef4\u643a\u5e26\u7684\u7ed3\u679c\u5b57\u6bb5：\u4e00\u4e2a\u662f \u22a5（\u6b63\u5e38\u653e\u5f03），\u4e00\u4e2a\u662f 𝜉（\u5931\u8d25）\u3002\u8fd9\u79cd\u7edf\u4e00\u6027\u662f\u523b\u610f\u7684\u8bbe\u8ba1：\u5931\u8d25\u88ab\u5f53\u6210"\u4e00\u79cd\u7279\u6b8a\u7684\u53bb\u6fc0\u6d3b"\u6765\u5904\u7406，\u4e0e L-Divert\u3001L-Leave \u8d70\u540c\u4e00\u6761 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u2192 L-Unload \u901a\u8def\u3002\u8bba\u6587\u8bf4"\u6bcf\u4e2a\u7ed3\u679c\u53ea\u80fd\u7ecf\u7531 L-Unload \u5230\u8fbe，\u8fd9\u6b63\u662f\u5b9a\u740659（\u4fdd\u6301\u6027）\u6240\u4f9d\u636e\u7684\u552f\u4e00\u4e8b\u5b9e"\u2014\u2014\u610f\u601d\u662f，\u65e0\u8bba\u7ea4\u7ef4\u4ee5\u4f55\u79cd\u65b9\u5f0f\u7ed3\u675f（\u6210\u529f\u5378\u8f7d\u3001\u88ab\u8f6c\u5411\u3001\u5931\u8d25），\u5b83\u90fd\u5fc5\u7136\u7ecf\u8fc7 L-Unload \u5e94\u7528\u7d2f\u52a0\u5668，\u6240\u4ee5"\u5df2\u63d0\u4ea4\u89c6\u56fe\u4e0d\u4f1a\u6307\u5411\u5df2\u79fb\u9664\u7ea4\u7ef4"\u8fd9\u4e00\u4e0d\u53d8\u5f0f\u5bf9\u6240\u6709\u7ed3\u679c\u7edf\u4e00\u6210\u7acb，\u65e0\u9700\u5bf9\u9519\u8bef\u5355\u72ec\u8bc1\u4e00\u904d\u3002<\/p>\n
\u7ed3\u679c\u5b57\u6bb5 𝜁 \u7684\u5b9e\u8d28\u662f"\u6263\u7559\u800c\u975e\u91cd\u8bd5"\u3002 L-Begin \u7684\u524d\u63d0\u662f 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u22a5)\u2014\u2014\u6ce8\u610f\u662f \u22a5，\u4e0d\u662f 𝜉\u3002\u6240\u4ee5\u4e00\u4e2a\u5931\u8d25\u7684\u7ea4\u7ef4（𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜉)）\u65e0\u6cd5\u91cd\u65b0\u8fdb\u5165\u751f\u547d\u5468\u671f：L-Begin \u4e0d\u5339\u914d\u5b83\u3002\u8fd9\u662f\u6709\u610f\u7684：\u4e00\u4e2a\u6548\u5e94\u51fd\u6570\u5df2\u7ecf\u5728\u67d0\u4e2a\u72b6\u6001\u4e0b\u8868\u73b0\u51fa"\u4e0d\u53ef\u9760"（\u6bd4\u5982\u5728\u90a3\u4e2a\u72b6\u6001\u4e0b\u7ed1\u7aef\u53e3\u5931\u8d25），\u5728\u73af\u5883\u6ca1\u53d8\u7684\u60c5\u51b5\u4e0b\u91cd\u8bd5\u5b83\u53ea\u4f1a\u518d\u6b21\u5931\u8d25，\u6beb\u65e0\u610f\u4e49\u3002\u6240\u4ee5\u7cfb\u7edf\u9009\u62e9"\u6263\u7559"\u5b83\u2014\u2014\u8ba9\u5b83\u5b89\u9759\u5730\u5f85\u5728 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜉)，\u65e2\u4e0d\u91cd\u8bd5\u4e5f\u4e0d\u963b\u788d\u522b\u4eba\u3002\u8fd9\u5bf9\u5e94\u5de5\u7a0b\u91cc\u7684"\u7194\u65ad"\u8bed\u4e49：\u4e00\u4e2a\u53cd\u590d\u5931\u8d25\u7684\u7ec4\u4ef6\u88ab\u6807\u8bb0\u4e3a\u5931\u8d25\u6001，\u4e0d\u518d\u88ab\u8c03\u5ea6，\u4f46\u5176\u5931\u8d25\u72b6\u6001\u88ab\u663e\u5f0f\u8bb0\u5f55，\u4fbf\u4e8e\u5bbf\u4e3b\u8bca\u65ad\u6216\u663e\u5f0f\u91cd\u7f6e\u3002<\/p>\n
\u5931\u8d25\u662f"\u6bcf\u7ea4\u7ef4"\u800c\u975e"\u5168\u72b6\u6001"\u7684\u3002 \u5931\u8d25\u8bb0\u5f55\u5728\u7ea4\u7ef4\u81ea\u5df1\u8eab\u4e0a，\u4e0d\u4f20\u64ad\u7ed9\u7236\u7ea4\u7ef4\u3002\u6240\u4ee5\u4e00\u4e2a\u7ec4\u4ef6\u8f6c\u6362\u5931\u8d25，\u5b83\u7684\u5144\u5f1f\u7ec4\u4ef6\u7ee7\u7eed\u8fd0\u884c\u3002\u8bba\u6587\u660e\u786e\u8bf4"\u8fd9\u662f\u63d2\u4ef6\u5bbf\u4e3b\u60f3\u8981\u7684\u884c\u4e3a"\u2014\u2014\u4e00\u4e2a\u63d2\u4ef6\u88c5\u8f7d\u5931\u8d25\u4e0d\u5e94\u8be5\u62d6\u57ae\u6574\u4e2a\u5bbf\u4e3b\u548c\u5176\u4ed6\u63d2\u4ef6\u3002\u8fd9\u4e0e\u4f20\u7edf\u7684\u5f02\u5e38\u4f20\u64ad（exception propagation）\u5f62\u6210\u9c9c\u660e\u5bf9\u6bd4：\u4f20\u7edf\u6a21\u578b\u91cc\u5b50\u5931\u8d25\u4f1a\u6cbf\u8c03\u7528\u6808\u5411\u4e0a\u629b\u3001\u53ef\u80fd\u8ba9\u7236\u4e5f\u5931\u8d25；\u800c\u8fd9\u91cc\u7684\u6545\u969c\u9694\u79bb（fault isolation）\u662f\u663e\u5f0f\u7684\u2014\u2014\u6bcf\u4e2a\u7ea4\u7ef4\u72ec\u7acb\u7ed3\u7b97，\u5931\u8d25\u4e0d\u4f20\u67d3\u3002\u8fd9\u4e0e DSH \u7684\u6545\u969c\u9694\u79bb\u5b9e\u8df5\u5b8c\u5168\u5bf9\u5e94：\u4e00\u4e2a agent \u5b50\u4efb\u52a1\u5931\u8d25，\u4e0d\u4f1a\u8ba9\u7236 agent \u548c\u5144\u5f1f\u4efb\u52a1\u90fd\u5d29\u6e83，\u800c\u662f\u88ab\u9694\u79bb\u5728\u90a3\u4e2a\u4efb\u52a1\u91cc\u3002<\/p>\n
\u5931\u8d25\u7ea4\u7ef4\u4e0d\u963b\u788d\u4efb\u4f55\u4eba\u3002 \u56e0\u4e3a\u5b83\u662f 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾，\u4e0d\u643a\u5e26\u5df2\u63d0\u4ea4\u89c6\u56fe，\u6240\u4ee5 relied \u8c13\u8bcd\u4e0d\u4f1a\u56e0\u4e3a\u5b83\u800c\u6210\u7acb\u2014\u2014\u5b83\u4e0d\u4f1a\u5361\u4f4f\u522b\u4eba\u7684 L-Unload \u5b88\u536b\u3002\u8fd9\u662f\u4e00\u4e2a\u91cd\u8981\u7684"\u4e0d\u6dfb\u9ebb\u70e6"\u6027\u8d28：\u5931\u8d25\u7684\u7ec4\u4ef6\u65e2\u4e0d\u91cd\u8bd5\u3001\u4e5f\u4e0d\u6321\u9053，\u5e72\u51c0\u5730\u9000\u51fa\u821e\u53f0\u3002O-Remove \u4e5f\u4e0d\u9700\u8981\u4e3a\u9519\u8bef\u7ed3\u679c\u62d3\u5bbd\u524d\u63d0\u2014\u2014𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u2212) \u7684\u901a\u914d\u5df2\u7ecf\u8986\u76d6 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(𝜉)，\u6240\u4ee5\u5931\u8d25\u7684\u7ea4\u7ef4\u53ef\u4ee5\u50cf\u6b63\u5e38\u9759\u6b62\u7ea4\u7ef4\u4e00\u6837\u88ab\u79fb\u9664\u3002<\/p>\n
\u4e0e Cordis\/DSH \u5b9e\u8df5\u7684\u5bf9\u5e94\u3002 \u8fd9\u6b63\u662f"\u7ec4\u4ef6\u88c5\u8f7d\u5931\u8d25\u7684\u4f18\u96c5\u5904\u7406"\u7684\u5f62\u5f0f\u5316：\u4e00\u4e2a\u63d2\u4ef6\u5728\u521d\u59cb\u5316\u65f6\u629b\u5f02\u5e38（\u6bd4\u5982\u7aef\u53e3\u51b2\u7a81），\u7cfb\u7edf\u4f1a\u628a\u5b83\u4e4b\u524d\u5df2\u7ecf\u6210\u529f\u7684\u521d\u59cb\u5316\u6b65\u9aa4\u5168\u90e8\u56de\u6eda（\u5173\u6389\u5df2\u6253\u5f00\u7684\u6587\u4ef6\u3001\u5df2\u5efa\u7acb\u7684\u8fde\u63a5），\u7136\u540e\u628a\u5b83\u6807\u8bb0\u4e3a\u5931\u8d25\u6001，\u4e0d\u5f71\u54cd\u5176\u4ed6\u63d2\u4ef6\u3002\u5bbf\u4e3b\u53ef\u4ee5\u67e5\u8be2\u54ea\u4e9b\u63d2\u4ef6\u5931\u8d25\u4e86\u3001\u4e3a\u4ec0\u4e48\u5931\u8d25，\u51b3\u5b9a\u662f\u5426\u91cd\u8bd5\u6216\u4e0a\u62a5\u3002\u5b83\u4e5f\u662f\u6545\u969c\u9694\u79bb\u7684\u5f62\u5f0f\u5316\u57fa\u77f3：\u5355\u4e2a\u7ec4\u4ef6\u7684\u5931\u8d25\u88ab\u9650\u5236\u5728\u8be5\u7ec4\u4ef6\u7684\u751f\u547d\u5468\u671f\u5185，\u4e0d\u4f1a\u7ea7\u8054\u3002<\/p>\n
Section 4.3 supplies ten rules: the three orchestration rules of Section 4.2; L-Begin, L-Iter, and L-Finish for an activation; L-Divert and L-Raise for the two ways an activation may end early; and L-Leave and L-Unload for a deactivation. This section reads the two dimensions of composability off those rules in their global form, one fiber\u2019s guarantee holding whatever the other fibers do in between, and adds what only a whole system can be asked for: that it always reaches the configuration its targets call for, and that the configuration is the one a static assembly would have produced.<\/p>\n
Definition 53. Index the steps by 𝑡, so that 𝛾𝑡 is the state the first 𝑡 of them reach, and write step𝑡 \u2254 𝑟(𝑛) for the step taken at 𝛾𝑡: the rule 𝑟 it applies and the name 𝑛 it applies that rule at. The sequence starts at a 𝛾0 with dom(𝐹0) = \u2300. An episode of 𝑛 is a maximal interval [𝑏, 𝑢] of indices throughout which installed𝑛 holds.<\/p>\n
Every rule concludes in the shape 𝛾 \u27f6 𝛿[\u22ef]. The state map of a step taken at 𝛾𝑡 by a rule acting on 𝑛 is
\n\u03a8𝑡 \u2254 { pr1 \u2218 𝑖 at L-Iter, L-Finish, and a landing L-Divert; 𝑔 at L-Unload; id\u0393 at every other rule }
\nand the edit edit𝑡 : \u0393 \u2192 \u0393 is the bracket read as a function. Each step factors as 𝛾𝑡+1 = edit𝑡(\u03a8𝑡(𝛾𝑡)).<\/p>\n
Lemma 54. Reading Table 1 together with Definition 48, for every step 𝑡 and all fibers 𝑚, 𝑛 present at 𝛾𝑡:<\/p>\n
Lemma 55 (\u2243-invariance). Let 𝛾 \u2243 𝛾\u2032. Then a rule of Section 4.3 applies at 𝛾 acting on 𝑛 if and only if it applies at 𝛾\u2032 acting on 𝑛, and the states the two applications reach are again related by \u2243.<\/p>\n
Lemma 56 (Equivariance). Let 𝜒 : 𝔑 \u2192 𝔑 be a bijection. Then 𝜒 \u22c5 𝛾 is a state, well formed where 𝛾 is, and step𝑡 = 𝑟(𝑛) carries 𝛾𝑡 to 𝛾𝑡+1 if and only if 𝑟(𝜒(𝑛)) carries 𝜒 \u22c5 𝛾𝑡 to 𝜒 \u22c5 𝛾𝑡+1.<\/p>\n
Lemma 57 (Vestigial entries). Call 𝑛 vestigial at 𝛾 when 𝜏𝑛 = \u22a4, 𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u22a5), 𝜎𝑛 = \u2300, and no 𝑚 has 𝜋𝑚 = 𝑛; a vestigial entry satisfies 𝛾 \u2248 𝛾 \u2216 𝑛. If 𝑛 is vestigial at 𝛾 then for every rule and every 𝑚 \u2260 𝑛: a rule applying at 𝛾 acting on 𝑚 applies at 𝛾 \u2216 𝑛, and conversely, unless it is an O-Insert drawing the name 𝑛 or claiming a key of 𝑝𝑛.<\/p>\n
\u7b2c4.3\u8282\u7ed9\u51fa\u5341\u6761\u89c4\u5219：\u7b2c4.2\u8282\u7684\u4e09\u6761\u7f16\u6392\u89c4\u5219；\u6fc0\u6d3b\u7528\u7684 L-Begin\u3001L-Iter\u3001L-Finish；\u6fc0\u6d3b\u53ef\u80fd\u63d0\u524d\u7ed3\u675f\u7684\u4e24\u79cd\u65b9\u5f0f\u7684 L-Divert \u548c L-Raise；\u4ee5\u53ca\u53bb\u6fc0\u6d3b\u7684 L-Leave \u548c L-Unload\u3002\u672c\u8282\u4ece\u8fd9\u4e9b\u89c4\u5219\u7684\u5168\u5c40\u5f62\u5f0f\u4e2d\u8bfb\u51fa\u53ef\u7ec4\u5408\u6027\u7684\u4e24\u4e2a\u7ef4\u5ea6\u2014\u2014\u4e00\u4e2a\u7ea4\u7ef4\u7684\u4fdd\u8bc1\u65e0\u8bba\u5176\u4ed6\u7ea4\u7ef4\u5728\u4e2d\u95f4\u505a\u4ec0\u4e48\u90fd\u6210\u7acb\u2014\u2014\u5e76\u52a0\u4e0a\u53ea\u6709\u6574\u4e2a\u7cfb\u7edf\u624d\u80fd\u88ab\u8981\u6c42\u7684\u4e1c\u897f：\u5b83\u603b\u80fd\u8fbe\u5230\u5176\u76ee\u6807\u6240\u8981\u6c42\u7684\u914d\u7f6e，\u4e14\u8be5\u914d\u7f6e\u662f\u9759\u6001\u88c5\u914d\u672c\u4f1a\u4ea7\u751f\u7684\u90a3\u4e2a\u3002<\/p>\n
\u5b9a\u4e49 53\u3002 \u7528 𝑡 \u7ed9\u6b65\u9aa4\u7f16\u53f7，𝛾𝑡 \u662f\u524d 𝑡 \u6b65\u8fbe\u5230\u7684\u72b6\u6001，\u8bb0 step𝑡 \u2254 𝑟(𝑛) \u4e3a\u5728 𝛾𝑡 \u8fc8\u51fa\u7684\u6b65\u9aa4：\u5b83\u5e94\u7528\u7684\u89c4\u5219 𝑟 \u4e0e\u5b83\u5e94\u7528\u8be5\u89c4\u5219\u7684\u540d 𝑛\u3002\u5e8f\u5217\u4ece dom(𝐹0) = \u2300 \u7684 𝛾0 \u5f00\u59cb\u3002\u7ea4\u7ef4 𝑛 \u7684\u4e00\u5e55（episode）\u662f installed𝑛 \u6301\u7eed\u6210\u7acb\u7684\u6307\u6807\u6781\u5927\u533a\u95f4 [𝑏, 𝑢]\u3002<\/p>\n
\u6bcf\u6761\u89c4\u5219\u7ed3\u8bba\u5f62\u5982 𝛾 \u27f6 𝛿[\u22ef]\u3002\u5728 𝛾𝑡 \u7531\u4f5c\u7528\u4e8e 𝑛 \u7684\u89c4\u5219\u8fc8\u51fa\u7684\u4e00\u6b65，\u5176\u72b6\u6001\u6620\u5c04\u4e3a
\n\u03a8𝑡 \u2254 { L-Iter\u3001L-Finish\u3001\u843d\u5730\u5f0f L-Divert \u5904\u53d6 pr1 \u2218 𝑖；L-Unload \u5904\u53d6 𝑔；\u5176\u4ed6\u6bcf\u6761\u89c4\u5219\u53d6 id\u0393 }
\n\u7f16\u8f91 edit𝑡 \u662f\u628a\u65b9\u62ec\u53f7\u8bfb\u4f5c\u51fd\u6570\u3002\u6bcf\u4e00\u6b65\u5206\u89e3\u4e3a 𝛾𝑡+1 = edit𝑡(\u03a8𝑡(𝛾𝑡))\u3002<\/p>\n
\u5f15\u7406 54\u3002 \u7ed3\u5408\u88681\u4e0e\u5b9a\u4e4948，\u5bf9\u6bcf\u4e00\u6b65 𝑡 \u4e0e 𝛾𝑡 \u5904\u6240\u6709\u7ea4\u7ef4 𝑚, 𝑛：<\/p>\n
\u5f15\u7406 55（\u2243-\u4e0d\u53d8\u6027）\u3002 \u4ee4 𝛾 \u2243 𝛾\u2032\u3002\u5219\u7b2c4.3\u8282\u7684\u4e00\u6761\u89c4\u5219\u5728 𝛾 \u4f5c\u7528\u4e8e 𝑛 \u53ef\u5e94\u7528，\u5f53\u4e14\u4ec5\u5f53\u5b83\u5728 𝛾\u2032 \u4f5c\u7528\u4e8e 𝑛 \u53ef\u5e94\u7528，\u4e14\u4e24\u6b21\u5e94\u7528\u8fbe\u5230\u7684\u72b6\u6001\u4ecd\u7531 \u2243 \u5173\u8054\u3002<\/p>\n
\u5f15\u7406 56（\u7b49\u53d8\u6027）\u3002 \u4ee4 𝜒 : 𝔑 \u2192 𝔑 \u4e3a\u53cc\u5c04\u3002\u5219 𝜒 \u22c5 𝛾 \u662f\u72b6\u6001，\u5728 𝛾 \u826f\u6784\u5904\u826f\u6784，\u4e14 step𝑡 = 𝑟(𝑛) \u628a 𝛾𝑡 \u5e26\u5230 𝛾𝑡+1 \u5f53\u4e14\u4ec5\u5f53 𝑟(𝜒(𝑛)) \u628a 𝜒 \u22c5 𝛾𝑡 \u5e26\u5230 𝜒 \u22c5 𝛾𝑡+1\u3002<\/p>\n
\u5f15\u7406 57（\u6b8b\u7559\u6761\u76ee）\u3002 \u79f0 𝑛 \u5728 𝛾 \u5904\u6b8b\u7559（vestigial），\u82e5 𝜏𝑛 = \u22a4\u3001𝜃𝑛 = 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u22a5)\u3001𝜎𝑛 = \u2300\u3001\u4e14\u65e0 𝑚 \u4f7f 𝜋𝑚 = 𝑛；\u6b8b\u7559\u6761\u76ee\u6ee1\u8db3 𝛾 \u2248 𝛾 \u2216 𝑛\u3002\u82e5 𝑛 \u5728 𝛾 \u6b8b\u7559，\u5219\u5bf9\u6bcf\u6761\u89c4\u5219\u4e0e\u6bcf\u4e2a 𝑚 \u2260 𝑛：\u5728 𝛾 \u4f5c\u7528\u4e8e 𝑚 \u7684\u89c4\u5219\u4e5f\u5728 𝛾 \u2216 𝑛 \u4f5c\u7528\u4e8e 𝑚，\u53cd\u4e4b\u4ea6\u7136，\u9664\u975e\u5b83\u662f\u62bd\u53d6\u540d 𝑛 \u6216\u7533\u9886 𝑝𝑛 \u4e4b\u952e\u7684 O-Insert\u3002<\/p>\n
\u672c\u8282\u662f\u6574\u7ae0\u5143\u7406\u8bba\u7684"\u57fa\u7840\u8bbe\u65bd\u5c42"，\u4e3a\u540e\u7eed\u4e94\u4e2a\u6027\u8d28\u5b9a\u7406\u5efa\u7acb\u4e00\u5957\u7edf\u4e00\u7684\u8bc1\u660e\u8bed\u8a00\u548c\u82e5\u5e72\u5f15\u7406\u3002\u7406\u89e3\u672c\u8282\u7684\u5173\u952e\u662f\u628a\u63e1"\u628a\u89c4\u5219\u8bfb\u4f5c\u5bf9\u72b6\u6001\u7684\u5199"\u8fd9\u4e00\u7edf\u4e00\u5207\u5165\u89c6\u89d2\u3002<\/p>\n
\u6838\u5fc3\u601d\u8def：\u628a\u6bcf\u6761\u89c4\u5219\u5206\u89e3\u4e3a"\u72b6\u6001\u6620\u5c04 \u03a8𝑡"\u52a0"\u7f16\u8f91 edit𝑡"\u4e24\u90e8\u5206\u3002 \u03a8𝑡 \u662f\u771f\u6b63\u6539\u5199\u4e0a\u4e0b\u6587\u5185\u5bb9\u7684\u51fd\u6570（\u5728\u8fed\u4ee3\u843d\u5730\u65f6\u662f\u8fed\u4ee3\u5668\u7684\u524d\u5411\u6295\u5f71 pr1 \u2218 𝑖，\u5728 L-Unload \u65f6\u662f\u7d2f\u52a0\u5668 𝑔，\u5176\u4ed6\u65f6\u5019\u662f\u6052\u7b49 id\u0393），edit𝑡 \u662f\u53ea\u6539\u63a7\u5236\u5b57\u6bb5（\u751f\u547d\u5468\u671f\u72b6\u6001\u3001\u9000\u5f79\u6807\u5fd7\u7b49）\u7684\u8d4b\u503c\u3002\u4e8e\u662f\u6bcf\u4e00\u6b65\u90fd\u662f 𝛾𝑡+1 = edit𝑡(\u03a8𝑡(𝛾𝑡))\u3002\u8fd9\u79cd\u5206\u89e3\u628a"\u5185\u5bb9\u53d8\u66f4"\u548c"\u63a7\u5236\u5b57\u6bb5\u53d8\u66f4"\u6e05\u6670\u5730\u5206\u5f00\u2014\u2014\u8fd9\u662f\u540e\u7eed\u6240\u6709\u8bc1\u660e\u7684\u57fa\u7840\u8bbe\u65bd\u3002\u88681\u6b63\u662f\u628a\u5341\u6761\u89c4\u5219\u8bfb\u6210\u8fd9\u79cd"\u5199"\u7684\u5b8c\u6574\u6e05\u5355，\u4f7f\u6bcf\u4e2a\u8bc1\u660e\u90fd\u53d8\u6210"\u67e5\u8868"\u3002<\/p>\n
\u5f15\u740654\u662f"\u4e8b\u5b9e\u6e05\u5355"\u5f15\u7406，\u5b83\u4ece\u88681 + \u5b9a\u4e4948（\u7ea6\u675f\u6027）\u4e2d\u8bfb\u51fa\u4e94\u6761\u8d2f\u7a7f\u5168\u7ae0\u7684\u4e8b\u5b9e：(1) \u4e00\u4e2a\u7ea4\u7ef4\u7684\u8868\u53ea\u5728\u81ea\u5df1\u88ab\u4f5c\u7528\u65f6\u53d8，\u4e14\u53d8\u66f4\u5728 \u03a8𝑡 \u5185\u2014\u2014\u8fd9\u662f\u7ea6\u675f\u6027\u7684\u76f4\u63a5\u540e\u679c；(2) \u5df2\u63d0\u4ea4\u89c6\u56fe 𝜔 \u53ea\u5728 L-Begin \u4ea7\u751f\u3001\u53ea\u5728 L-Unload \u6d88\u5931，\u6240\u4ee5\u5728\u4e00\u4e2a episode（\u7ea4\u7ef4\u4ece\u6fc0\u6d3b\u5230\u5378\u8f7d\u7684\u6574\u4e2a\u533a\u95f4）\u5185 𝜔 \u4fdd\u6301\u4e0d\u53d8\u2014\u2014\u8fd9\u662f\u7a7a\u95f4\u53ef\u7ec4\u5408\u6027（4.4.3）\u7684\u6838\u5fc3\u4e0d\u53d8\u5f0f；(3) \u7d2f\u52a0\u5668\u53ea\u5728 L-Unload \u5e94\u7528\u2014\u2014\u8fd9\u662f\u6062\u590d\u7cbe\u786e\u6027\u7684\u5173\u952e；(4) \u7ea4\u7ef4\u5b89\u88c5\/\u5378\u8f7d\u7684\u8fb9\u754c\u6070\u662f L-Begin\/L-Unload；(5) 𝜋\/𝑑\/𝑝\/𝑒 \u4e00\u65e6\u968f\u6761\u76ee\u4ea7\u751f\u5c31\u4e0d\u518d\u88ab\u5199，𝜏 \u5355\u8c03\u2014\u2014\u8fd9\u4fdd\u8bc1\u4f9d\u8d56\u56fe\u4e0e\u4f9b\u7ed9\u5728\u8fd0\u884c\u4e2d\u662f\u7a33\u5b9a\u7684\u3002\u8fd9\u4e94\u6761\u4e8b\u5b9e\u5728\u540e\u7eed\u6bcf\u4e2a\u5b9a\u7406\u8bc1\u660e\u91cc\u53cd\u590d\u5f15\u7528，\u76f8\u5f53\u4e8e\u628a"\u67e5\u8868"\u7684\u7ed3\u679c\u56fa\u5316\u3002<\/p>\n
\u5f15\u740655（\u2243-\u4e0d\u53d8\u6027）\u4fdd\u8bc1\u6574\u4e2a\u6f14\u7b97\u4e0b\u964d\u5230\u89c2\u5bdf\u7b49\u4ef7\u5546 \u0393\/\u2243\u3002 \u5b83\u8bf4\u7684\u662f：\u5982\u679c\u4e24\u4e2a\u72b6\u6001\u5728\u89c2\u5bdf\u7b49\u4ef7 \u2243 \u4e0b\u76f8\u7b49（\u5373\u5bf9\u6240\u6709\u53ef\u89c2\u5bdf\u7684\u4e1c\u897f\u4e00\u81f4），\u90a3\u4e48\u89c4\u5219\u5728\u4e24\u8005\u4e0a\u7684\u53ef\u5e94\u7528\u6027\u76f8\u540c\u3001\u7ed3\u679c\u4ecd \u2243 \u76f8\u7b49\u3002\u8fd9\u610f\u5473\u7740\u89c4\u5219\u7684\u5224\u65ad\u53ea\u4f9d\u8d56\u53ef\u89c2\u5bdf\u91cf，\u4e0d\u4f1a\u56e0\u4e3a"\u4e0d\u53ef\u89c2\u5bdf\u7684\u5185\u90e8\u8868\u793a\u5dee\u5f02"\u800c\u5206\u6b67\u3002\u8fd9\u662f\u628a\u7b2c3\u7ae0\u7684\u89c2\u5bdf\u7b49\u4ef7\u6027\u8d2f\u7a7f\u5230\u7ec4\u4ef6\u5c42\u7684\u6865\u6881\u2014\u2014\u8bc1\u660e\u4e2d\u5b83\u9010\u4e00\u68c0\u67e5\u6bcf\u6761\u89c4\u5219\u7684\u524d\u63d0\u53ea\u8bfb \u2243 \u4fdd\u6301\u7684\u6210\u5206（\u63a7\u5236\u5b57\u6bb5\u3001𝑑\/𝑝\/𝑒\u3001\u76ee\u6807\u89c6\u56fe\u3001dom(𝐹𝛾)），\u7ed3\u8bba\u91cc\u7684\u5199\u4e5f\u90fd\u5c0a\u91cd \u2243\u3002<\/p>\n
\u5f15\u740656（\u7b49\u53d8\u6027）\u5904\u7406\u7ea4\u7ef4\u540d\u7684\u533f\u540d\u6027\u3002 \u7ea4\u7ef4\u540d\u662f"\u52a8\u6001\u521b\u5efa\u7684\u5c40\u90e8\u540d"（\u5f15\u7528[39]），\u89c4\u5219\u53ea\u7528\u76f8\u7b49\u6bd4\u8f83\u3001\u4e0d\u8ba1\u7b97\u3001\u4e0d\u68c0\u67e5\u7ed3\u6784\u3002\u6240\u4ee5\u5bf9\u7ea4\u7ef4\u540d\u7684\u4efb\u4f55\u53cc\u5c04\u91cd\u547d\u540d，\u89c4\u5219\u5e8f\u5217\u4fdd\u6301\u76f8\u540c\u7ed3\u6784\u3002\u8fd9\u8ba9\u8bc1\u660e\u53ef\u4ee5"\u5ffd\u7565\u5177\u4f53\u7528\u4e86\u54ea\u4e9b\u540d"，\u53ea\u5173\u5fc3\u7ed3\u6784\u2014\u2014\u8fd9\u662f 4.1 \u8282"\u540d\u662f\u539f\u5b50"\u7eaa\u5f8b\u7684\u5151\u73b0\u3002\u540e\u7eed\u6c47\u5408\u6027\u5b9a\u7406\u5728\u5339\u914d\u4e24\u68f5\u6ce8\u518c\u6811\u65f6\u6b63\u662f\u7528\u4e00\u4e2a\u53cc\u5c04\u5bf9\u9f50\u5b83\u4eec\u7684\u540d\u5b57\u3002<\/p>\n
\u5f15\u740657（\u6b8b\u7559\u6761\u76ee）\u662f\u4e00\u4e2a"\u770b\u4e0d\u89c1\u7684\u6761\u76ee"\u5f15\u7406\u3002 \u4e00\u4e2a"\u6b8b\u7559"\u7ea4\u7ef4\u662f：\u5df2\u9000\u5f79\u3001\u5df2\u9759\u6b62\u3001\u7a7a\u8868\u3001\u6ca1\u4eba\u4ee5\u5b83\u4e3a\u7236\u2014\u2014\u5b83\u53ea\u5269\u4e00\u4e2a\u540d\u5b57\u58f3\u3002\u5f15\u7406\u8bf4\u8fd9\u6837\u7684\u6761\u76ee\u5bf9\u4efb\u4f55\u4f5c\u7528\u4e8e\u5176\u4ed6\u7ea4\u7ef4\u7684\u89c4\u5219\u90fd\u4e0d\u53ef\u89c1（𝛾 \u2248 𝛾 \u2216 𝑛）\u3002\u8fd9\u975e\u5e38\u91cd\u8981：\u5b9a\u4e4947\u7684\u6ce8\u518c\u539f\u8bed\u5728\u7236\u5378\u8f7d\u65f6\u9000\u5f79\u5b50\u7ea4\u7ef4\u3001\u7559\u4e0b\u4e00\u4e2a\u6b8b\u7559\u6761\u76ee（Lemma 57 \u63d0\u5230\u7684"\u9000\u5316\u6761\u76ee"），\u5b83\u548c"\u7ea4\u7ef4\u4e0d\u5b58\u5728"\u5728\u63a7\u5236\u5b57\u6bb5\u4ee5\u5916\u65e0\u6cd5\u533a\u5206\u3002\u8fd9\u4e2a\u5f15\u7406\u8ba9\u8bc1\u660e\u53ef\u4ee5"\u5047\u88c5\u6b8b\u7559\u6761\u76ee\u4e0d\u5b58\u5728"，\u662f\u6c47\u5408\u6027\u8bc1\u660e\u91cc\u5220\u9664\u88ab\u9000\u5f79\u6ce8\u518c（Lemma 72）\u7684\u5de5\u5177\u3002<\/p>\n
\u4e24\u4e2a\u7b49\u4ef7\u5173\u7cfb \u2243 \u4e0e \u2248 \u7684\u5206\u5de5\u3002 \u2243 \u662f\u89c2\u5bdf\u7b49\u4ef7（\u542b\u6ce8\u518c\u8868\u57df\u548c\u63a7\u5236\u5b57\u6bb5），\u7528\u4e8e"\u89c4\u5219\u662f\u5426\u533a\u5206\u4e24\u4e2a\u72b6\u6001"；\u2248 \u662f"\u9664\u63a7\u5236\u5b57\u6bb5\u5916\u4e00\u81f4"，\u7528\u4e8e\u6062\u590d\u7cbe\u786e\u6027\u2014\u2014\u5b83\u7cbe\u786e\u6bd4\u8f83\u8868\u4e0e\u73af\u5883\u72b6\u6001，\u53ea\u5fd8\u6389"\u54ea\u4e2a\u7ea4\u7ef4\u5b89\u88c5\u7684"\u3002\u8bba\u6587\u660e\u786e\u8bf4 \u2243 \u548c \u2248 \u4e92\u4e0d\u7cbe\u5316，\u5404\u81ea\u5fd8\u6389\u5bf9\u65b9\u5fc5\u987b\u4fdd\u7559\u7684\u4e1c\u897f：\u2243 \u5fc5\u987b\u4fdd\u7559\u63a7\u5236\u5b57\u6bb5（\u89c4\u5219\u9760\u5b83\u5224\u65ad），\u2248 \u5fc5\u987b\u4fdd\u7559\u8868\u4e0e\u73af\u5883（\u6062\u590d\u7cbe\u786e\u6027\u662f\u5173\u4e8e\u6548\u5e94\u7684\u65ad\u8a00）\u3002\u540e\u7eed\u5b9a\u7406\u5bf9\u4e24\u534a\u5404\u7528\u5176\u4e00\u3002<\/p>\n
\u603b\u4e4b，\u672c\u8282\u5efa\u7acb\u4e86\u4e00\u5957"\u628a\u89c4\u5219\u5f53\u5199\u3001\u628a\u72b6\u6001\u5f53\u7d22\u5f15\u5e8f\u5217\u3001\u7528 \u2243\/\u2248 \u4e24\u4e2a\u7b49\u4ef7\u5206\u522b\u8bfb\u4e24\u534a"\u7684\u7edf\u4e00\u8bc1\u660e\u6846\u67b6，\u4e94\u4e2a\u6027\u8d28\u5b9a\u7406\u90fd\u5728\u5176\u4e0a\u5c55\u5f00\u3002<\/p>\n
Definition 45 fixes the shape of a registry, and the rules have to be checked against it before the results below can add to it. This subsection identifies the invariant the rules preserve, of which the first clause is that shape and the rest what those results assume.<\/p>\n
Definition 58. A registry 𝐹𝛾 is well formed when, for all 𝑚, 𝑛 \u2208 dom(𝐹𝛾) and all 𝑘 \u2208 𝐾:<\/p>\n
Clause (1) is the tree of Definition 45 read one edge at a time. The acyclicity needs no clause, since the fiber a pointer names is registered before the fiber naming it.<\/p>\n
Theorem 59 (Preservation). If 𝐹𝑡 is well formed then so is 𝐹𝑡+1, whichever rule step 𝑡 applies. Each clause is established at 𝛾𝑡+1 from all four at 𝛾𝑡.<\/p>\n
The guard on L-Unload is what carries clauses (3) and (4). The premise \u2200𝑚. 𝜋𝑚 \u2260 𝑛 of O-Remove speaks only of parent pointers; what keeps a committed view from naming a removed fiber is the guard, imposed several steps earlier and for a different reason. Because a failure is routed through 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 as well, the argument does not have to be repeated for an error outcome. Two things follow that the base calculus does not enjoy. A name freed by O-Remove may be reissued by O-Insert, since no stale committed view can name it; and a fiber may be removed as soon as it is 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾, without a separate check that nobody depends on it.<\/p>\n
\u5b9a\u4e4945\u56fa\u5b9a\u4e86\u6ce8\u518c\u8868\u7684\u5f62\u72b6，\u89c4\u5219\u5fc5\u987b\u5148\u5bf9\u7167\u5b83\u68c0\u67e5，\u540e\u7eed\u7ed3\u679c\u624d\u80fd\u5728\u5176\u4e0a\u6dfb\u52a0\u3002\u672c\u5c0f\u8282\u8bc6\u522b\u89c4\u5219\u6240\u4fdd\u6301\u7684\u4e0d\u53d8\u5f0f，\u5176\u7b2c\u4e00\u6761\u662f\u8be5\u5f62\u72b6，\u5176\u4f59\u662f\u90a3\u4e9b\u7ed3\u679c\u6240\u5047\u5b9a\u7684\u3002<\/p>\n
\u5b9a\u4e49 58\u3002 \u6ce8\u518c\u8868 𝐹𝛾 \u826f\u6784（well formed），\u5f53\u5bf9\u6240\u6709 𝑚, 𝑛 \u2208 dom(𝐹𝛾) \u4e0e\u6240\u6709 𝑘 \u2208 𝐾：<\/p>\n
\u7b2c(1)\u6761\u662f\u5b9a\u4e4945\u7684\u6811\u6309\u4e00\u6761\u8fb9\u8bfb\u51fa\u3002\u65e0\u73af\u6027\u65e0\u9700\u6761\u6b3e，\u56e0\u4e3a\u6307\u9488\u6240\u547d\u540d\u7684\u7ea4\u7ef4\u5148\u4e8e\u547d\u540d\u5b83\u7684\u7ea4\u7ef4\u6ce8\u518c\u3002<\/p>\n
\u5b9a\u7406 59（\u4fdd\u6301\u6027）\u3002 \u82e5 𝐹𝑡 \u826f\u6784，\u5219\u65e0\u8bba\u7b2c 𝑡 \u6b65\u5e94\u7528\u54ea\u6761\u89c4\u5219，𝐹𝑡+1 \u4e5f\u826f\u6784\u3002\u6bcf\u6761\u6761\u6b3e\u5728 𝛾𝑡+1 \u5904\u7531 𝛾𝑡 \u5904\u5168\u90e8\u56db\u6761\u5efa\u7acb\u3002<\/p>\n
L-Unload \u4e0a\u7684\u5b88\u536b\u627f\u8f7d\u4e86\u6761\u6b3e(3)\u4e0e(4)\u3002O-Remove \u7684\u524d\u63d0 \u2200𝑚. 𝜋𝑚 \u2260 𝑛 \u53ea\u6d89\u53ca\u7236\u6307\u9488；\u4f7f\u5df2\u63d0\u4ea4\u89c6\u56fe\u4e0d\u547d\u540d\u5df2\u79fb\u9664\u7ea4\u7ef4\u7684，\u662f\u5b88\u536b\u2014\u2014\u5b83\u5728\u51e0\u6b65\u4e4b\u524d\u4e3a\u53e6\u4e00\u4e2a\u7406\u7531\u65bd\u52a0\u3002\u56e0\u4e3a\u5931\u8d25\u4e5f\u7ecf 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u8def\u7531，\u8be5\u8bba\u8bc1\u4e0d\u5fc5\u4e3a\u9519\u8bef\u7ed3\u679c\u91cd\u590d\u3002\u968f\u4e4b\u800c\u6765\u7684\u662f\u57fa\u7840\u6f14\u7b97\u6240\u4e0d\u4eab\u6709\u7684\u4e24\u4ef6\u4e8b：O-Remove \u91ca\u653e\u7684\u540d\u53ef\u7531 O-Insert \u91cd\u65b0\u7b7e\u53d1，\u56e0\u4e3a\u6ca1\u6709\u9648\u65e7\u7684\u5df2\u63d0\u4ea4\u89c6\u56fe\u80fd\u547d\u540d\u5b83；\u4e14\u4e00\u4e2a\u7ea4\u7ef4\u4e00\u65e6 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 \u5c31\u53ef\u88ab\u79fb\u9664，\u65e0\u9700\u5355\u72ec\u68c0\u67e5\u65e0\u4eba\u4f9d\u8d56\u5b83\u3002<\/p>\n
\u4fdd\u6301\u6027（preservation）\u662f\u7c7b\u578b\u8bba\/\u64cd\u4f5c\u8bed\u4e49\u91cc\u6700\u7ecf\u5178\u7684\u4e0d\u53d8\u5f0f：\u201c\u5982\u679c\u7cfb\u7edf\u73b0\u5728\u5904\u4e8e\u826f\u597d\u72b6\u6001，\u8fc8\u4e00\u6b65\u540e\u4ecd\u5904\u4e8e\u826f\u597d\u72b6\u6001\u3002\u201d \u672c\u8282\u5b9a\u4e49\u4e86\u6ce8\u518c\u8868\u7684\u826f\u6784\u6027（Definition 58，\u56db\u6761），\u5e76\u8bc1\u660e\u5341\u6761\u89c4\u5219\u90fd\u4fdd\u6301\u5b83（Theorem 59）\u3002<\/p>\n
\u56db\u6761\u826f\u6784\u6761\u6b3e\u7684\u542b\u4e49\u3002 (1) \u7236\u6307\u9488\u843d\u5728\u6ce8\u518c\u8868\u6216\u6839\u91cc\u2014\u2014\u6ce8\u518c\u8868\u59cb\u7ec8\u662f\u4e00\u68f5\u826f\u5f62\u7684\u6811；(2) \u4e0d\u540c\u7ea4\u7ef4\u7684\u4f9b\u7ed9\u4e0d\u76f8\u4ea4\u2014\u2014\u5355\u4e00\u6765\u6e90\u7eaa\u5f8b，\u6bcf\u4e2a\u952e\u81f3\u591a\u4e00\u4e2a\u63d0\u4f9b\u8005；(3) \u4e00\u4e2a\u5df2\u5b89\u88c5\u7ea4\u7ef4\u7684\u5df2\u63d0\u4ea4\u89c6\u56fe\u662f\u5b83\u58f0\u660e\u7684\u4f9d\u8d56\u952e\u5230\u6ce8\u518c\u8868\u5185\u7ea4\u7ef4\u540d\u7684\u5168\u6620\u5c04\u2014\u2014\u5373\u5b83\u58f0\u660e\u7684\u6bcf\u4e2a\u4f9d\u8d56\u90fd\u89e3\u6790\u5230\u4e86\u67d0\u4e2a\u5b58\u5728\u7684\u7ea4\u7ef4；(4) \u5982\u679c\u5df2\u5b89\u88c5\u7ea4\u7ef4 𝑛 \u628a\u952e 𝑘 \u89e3\u6790\u5230 𝑚，\u90a3\u4e48 𝑚 \u4e5f\u662f\u5df2\u5b89\u88c5\u7684\u2014\u2014\u5373\u5df2\u63d0\u4ea4\u89c6\u56fe\u53ea\u6307\u5411\u540c\u6837\u5df2\u5b89\u88c5\u7684\u63d0\u4f9b\u8005\u3002\u7b2c(3)(4)\u6761\u5408\u8d77\u6765\u5c31\u662f"\u6fc0\u6d3b\u7684\u7ea4\u7ef4\u4f9d\u8d56\u7684\u63d0\u4f9b\u8005\u4e5f\u90fd\u6fc0\u6d3b\u7740"，\u8fd9\u662f\u7a7a\u95f4\u53ef\u7ec4\u5408\u6027\u7684\u5f62\u72b6\u4fdd\u8bc1\u3002<\/p>\n
\u8bc1\u660e\u6897\u6982： Theorem 59 \u5bf9\u56db\u6761\u5206\u522b\u5f52\u7ea6\u3002\u7b2c(1)\u6761\u7531 O-Insert（\u524d\u63d0\u4fdd\u8bc1\u65b0\u7ea4\u7ef4\u7684\u7236\u5b58\u5728）\u4e0e O-Remove（\u524d\u63d0 \u2200𝑚.𝜋𝑚\u2260𝑛 \u4fdd\u8bc1\u65e0\u5e78\u5b58\u8005\u4ee5\u88ab\u5220\u8005\u4e3a\u7236）\u7ef4\u62a4\u3002\u7b2c(2)\u6761\u7531 O-Insert \u7684\u6700\u540e\u4e00\u524d\u63d0\u7ef4\u62a4，\u4e14\u65e0\u5176\u4ed6\u89c4\u5219\u5199 𝑝 \u6216\u6269\u5927 dom(𝐹𝛾)\u3002\u7b2c(3)\u6761：\u552f\u4e00\u5199 𝜔 \u7684\u662f L-Begin，\u5176\u524d\u63d0 𝜔 = target \u2260 \u22a5 \u4fdd\u8bc1\u5b83\u662f\u5168\u7684\u3001\u53d6\u503c\u4e8e\u63d0\u4f9b\u8005；\u552f\u4e00\u7f29\u5c0f dom(𝐹𝛾) \u7684 O-Remove \u5220\u9664\u7684\u662f\u975e\u5b89\u88c5\u7ea4\u7ef4\u3002\u7b2c(4)\u6761\u662f\u5173\u952e\u4e14\u6700\u5fae\u5999\u7684\u4e00\u6b65\u2014\u2014\u5b83\u53ef\u80fd\u88ab"\u67d0\u5b89\u88c5\u7ea4\u7ef4\u6389\u843d"\u201c\u67d0 𝜔 \u88ab\u5199\u201d"\u67d0\u88ab 𝜔 \u547d\u540d\u7684\u7ea4\u7ef4\u79bb\u5f00"\u7834\u574f\u3002\u6838\u5fc3\u5728\u4e8e L-Unload \u7684\u5b88\u536b \u00ac relied𝑛(𝛾)：\u5f53\u4e00\u4e2a\u63d0\u4f9b\u8005\u8981\u5378\u8f7d\u65f6，\u5b88\u536b\u8981\u6c42\u6ca1\u6709\u4efb\u4f55\u5df2\u5b89\u88c5\u7ea4\u7ef4\u8fd8\u628a\u952e\u89e3\u6790\u5230\u5b83，\u4e8e\u662f\u88ab\u5b83\u63d0\u4f9b\u7684\u6d88\u8d39\u8005\u8981\u4e48\u4e5f\u5df2\u4e0d\u5728\u5b89\u88c5\u72b6\u6001\u3001\u8981\u4e48\u5df2\u63d0\u4ea4\u89c6\u56fe\u4e0d\u518d\u6307\u5411\u5b83\u2014\u2014\u6240\u4ee5\u5220\u6389\u5b83\u4e0d\u4f1a\u8ba9\u4efb\u4f55\u5df2\u5b89\u88c5\u7ea4\u7ef4\u7684 𝜔 \u6307\u5411\u865a\u7a7a\u3002\u8bba\u6587\u7279\u522b\u5f3a\u8c03：O-Remove \u7684\u524d\u63d0 \u2200𝑚.𝜋𝑚\u2260𝑛 \u53ea\u7ba1\u7236\u6307\u9488，\u771f\u6b63\u963b\u6b62"\u5df2\u63d0\u4ea4\u89c6\u56fe\u6307\u5411\u5df2\u5220\u7ea4\u7ef4"\u7684\u662f L-Unload \u5b88\u536b\u2014\u2014\u5b83\u5728\u597d\u51e0\u6b65\u4e4b\u524d\u3001\u4e3a"\u64a4\u56de\u987a\u5e8f"\u8fd9\u4e2a\u5b8c\u5168\u4e0d\u540c\u7684\u7406\u7531\u88ab\u65bd\u52a0，\u5374\u987a\u5e26\u4fdd\u62a4\u4e86\u7b2c(4)\u6761\u3002\u8fd9\u79cd"\u4e00\u4e2a\u673a\u5236\u670d\u52a1\u591a\u4e2a\u4e0d\u53d8\u5f0f"\u7684\u590d\u7528\u662f\u672c\u7ae0\u8bbe\u8ba1\u7684\u4f18\u96c5\u4e4b\u5904\u3002<\/p>\n
\u5931\u8d25\u4e5f\u8d70 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u901a\u8def\u7684\u597d\u5904\u3002 \u56e0\u4e3a L-Raise \u628a\u5931\u8d25\u4e5f\u8def\u7531\u8fdb 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀，4.3.4 \u7684\u8bba\u8bc1\u4e0e\u6b63\u5e38\u5378\u8f7d\u540c\u6784，\u6240\u4ee5\u7b2c(3)(4)\u6761\u5bf9\u9519\u8bef\u7ed3\u679c\u81ea\u52a8\u6210\u7acb，\u65e0\u9700\u5355\u72ec\u518d\u8bc1\u4e00\u904d\u2014\u2014\u8fd9\u662f 4.3.4 "\u5931\u8d25\u5f53\u4f5c\u7279\u6b8a\u53bb\u6fc0\u6d3b"\u8bbe\u8ba1\u7684\u56de\u62a5\u3002<\/p>\n
\u4fdd\u6301\u6027\u5e26\u6765\u7684\u4e24\u4e2a\u5de5\u7a0b\u7ea2\u5229\u3002 \u7b2c\u4e00，O-Remove \u91ca\u653e\u7684\u7ea4\u7ef4\u540d\u53ef\u4ee5\u88ab O-Insert \u91cd\u65b0\u7b7e\u53d1\u2014\u2014\u56e0\u4e3a\u6ca1\u6709\u9648\u65e7\u7684\u5df2\u63d0\u4ea4\u89c6\u56fe\u80fd\u6307\u5411\u5df2\u5220\u540d（\u5b88\u536b\u4fdd\u8bc1\u4efb\u4f55\u6307\u5411\u5b83\u7684\u89c6\u56fe\u90fd\u5df2\u968f\u4f9d\u8d56\u8005\u5378\u8f7d\u800c\u6d88\u5931）\u3002\u8fd9\u5bf9\u5e94"\u63d2\u4ef6\u540d\u53ef\u88ab\u590d\u7528"：\u5378\u8f7d\u4e00\u4e2a\u53eb \u201clogger\u201d \u7684\u63d2\u4ef6\u540e，\u53ef\u4ee5\u518d\u88c5\u8f7d\u4e00\u4e2a\u540c\u540d\u63d2\u4ef6，\u4e0d\u4f1a\u56e0\u4e3a\u65e7\u5f15\u7528\u800c\u6df7\u4e71\u3002\u7b2c\u4e8c，\u4e00\u4e2a\u7ea4\u7ef4\u4e00\u65e6 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾 \u5c31\u53ef\u7acb\u5373 O-Remove，\u65e0\u9700\u989d\u5916\u68c0\u67e5"\u6ca1\u4eba\u4f9d\u8d56\u6211"\u2014\u2014\u56e0\u4e3a\u5b88\u536b\u5df2\u7ecf\u5728\u5b83\u79bb\u5f00 𝖠𝖼𝗍𝗂𝗏𝖾 \u65f6（L-Leave\u2192L-Unload）\u4fdd\u8bc1\u4e86\u8fd9\u4e00\u70b9\u3002\u8fd9\u7b80\u5316\u4e86\u5b9e\u73b0：\u9000\u5f79\u4e00\u4e2a\u9759\u6b62\u7ea4\u7ef4\u662f\u5b89\u5168\u7684，\u4e0d\u7528\u518d\u505a\u4f9d\u8d56\u626b\u63cf\u3002\u8fd9\u4e0e Cordis\/DSH \u7684\u4f9d\u8d56\u89e3\u6790\u3001\u7ec4\u4ef6\u751f\u547d\u5468\u671f\u7ba1\u7406\u76f4\u63a5\u5bf9\u5e94\u2014\u2014\u5378\u8f7d\u4e00\u4e2a\u63d2\u4ef6\u4e0d\u9700\u8981\u5168\u7cfb\u7edf\u626b\u63cf\u8c01\u8fd8\u5728\u7528\u5b83，\u5b88\u536b\u5df2\u7ecf\u66ff\u4f60\u626b\u8fc7\u4e86\u3002<\/p>\n
Local temporal composability recovers one sequence of effects with one accumulator (Section 3.1.3). The registry holds one accumulator per fiber and the fibers interleave: between the moment 𝑛 composes an inverse onto 𝑔𝑛 and the moment 𝑔𝑛 runs, other fibers have moved the state. Whether 𝑔𝑛 still undoes what it was built to undo there is what the global form of the guarantee asserts, and the condition it turns on is that the intervening steps commute with 𝑔𝑛.<\/p>\n
Definition 60. For 𝑖 \u2208 𝔈iter\u2217\u0393 let reach(𝑖) be the least set of iterators containing 𝑖 and closed under continuation, and read the transformation monoid 𝔐 at an iterator by taking for its generators the forward maps and the yielded inverses of every iterator in reach(𝑖). Two iterators 𝑖, 𝑗 are independent when:
\n\u2200𝑓 \u2208 𝔐(𝑖), 𝑔 \u2208 𝔐(𝑗). 𝑓 \u2218 𝑔 \u2243 𝑔 \u2218 𝑓
\n\u2200𝑖\u2032 \u2208 reach(𝑖), 𝑔 \u2208 𝔐(𝑗), 𝛾 \u2208 \u0393. pr2,3(𝑖\u2032(𝑔(𝛾))) \u2243 pr2,3(𝑖\u2032(𝛾))
\nand symmetrically in 𝑗. A family (𝑖𝑙) is pairwise independent when 𝑖𝑙 and 𝑖𝑙\u2032 are independent for every 𝑙 \u2260 𝑙\u2032, and a sequence of steps is pairwise independent when (𝑒𝑛) is, where 𝑁 is the set of names the sequence ever holds.<\/p>\n
Theorem 61 (Recovery exactness). Let the sequence of steps be pairwise independent, let an episode of 𝑛 open at 𝑏, let 𝑢 \u2265 𝑏 lie in it, and let 𝑡1 < \u22ef < 𝑡𝑙 be the indices in [𝑏, 𝑢) at which the acting fiber is not 𝑛. Then
\n𝑔𝑢𝑛(𝛾𝑢) \u2248 (\u03a8𝑡𝑙 \u2218 \u22ef \u2218 \u03a8𝑡1)(𝛾𝑏)
\nThat is, applying 𝑛\u2019s accumulator at 𝛾𝑢 yields, up to the control fields, the state those same steps would have produced from 𝛾𝑏.<\/p>\n
Corollary 62 (Terminal recovery). Let the sequence of steps be pairwise independent and let an episode of 𝑛 open at 𝑏 and close at 𝑢, whatever outcome 𝑛 arrives at. Then, with 𝑡1 < \u22ef < 𝑡𝑙 as in Theorem 61,
\n𝛾𝑢+1 \u2248 (\u03a8𝑡𝑙 \u2218 \u22ef \u2218 \u03a8𝑡1)(𝛾𝑏)
\nA fiber removed by O-Remove leaves nothing behind either.<\/p>\n
Pairwise independence is assumed of the components by the results above, and Section 3.3.2 is what discharges it: where every effect a component performs is an operation of a key and every key is commutative, any two effect functions built from those operations are independent (Theorem 42). The coeffect operations of Section 3.2 are the case that needs no hypothesis at all: the maps a component contributes there are composites of set operations and of the corresponding restrictions, two such commute whenever they touch disjoint keys, and clause (2) of Definition 58 makes the provisions of distinct fibers disjoint.<\/p>\n
\u5c40\u90e8\u65f6\u95f4\u53ef\u7ec4\u5408\u6027\u7528\u4e00\u4e2a\u7d2f\u52a0\u5668\u6062\u590d\u4e00\u4e32\u6548\u5e94（\u7b2c3.1.3\u8282）\u3002\u6ce8\u518c\u8868\u6bcf\u4e2a\u7ea4\u7ef4\u6301\u6709\u4e00\u4e2a\u7d2f\u52a0\u5668，\u800c\u7ea4\u7ef4\u4ea4\u9519\u8fd0\u884c：\u5728 𝑛 \u628a\u4e00\u4e2a\u9006\u7ec4\u5408\u5230 𝑔𝑛 \u4e0a\u3001\u4e0e 𝑔𝑛 \u5b9e\u9645\u8fd0\u884c\u4e4b\u95f4，\u5176\u4ed6\u7ea4\u7ef4\u5df2\u79fb\u52a8\u4e86\u72b6\u6001\u3002𝑔𝑛 \u662f\u5426\u4ecd\u64a4\u9500\u5b83\u88ab\u6784\u5efa\u6765\u64a4\u9500\u7684\u4e1c\u897f，\u6b63\u662f\u8be5\u4fdd\u8bc1\u7684\u5168\u5c40\u5f62\u5f0f\u6240\u65ad\u8a00\u7684，\u800c\u5b83\u6240\u4f9d\u8d56\u7684\u6761\u4ef6\u662f：\u4e2d\u95f4\u8fd9\u4e9b\u6b65\u9aa4\u4e0e 𝑔𝑛 \u4ea4\u6362\u3002<\/p>\n
\u5b9a\u4e49 60\u3002 \u5bf9 𝑖 \u2208 𝔈iter\u2217\u0393，\u4ee4 reach(𝑖) \u4e3a\u542b 𝑖 \u4e14\u5bf9\u7eed\u5ef6\u5c01\u95ed\u7684\u6700\u5c0f\u8fed\u4ee3\u5668\u96c6\u5408，\u628a\u53d8\u6362\u5e7a\u534a\u7fa4 𝔐 \u5728\u8fed\u4ee3\u5668\u4e0a\u8bfb\u4f5c\u4ee5 reach(𝑖) \u4e2d\u6bcf\u4e2a\u8fed\u4ee3\u5668\u7684\u524d\u5411\u6620\u5c04\u4e0e\u6240\u4ea7\u9006\u4e3a\u751f\u6210\u5143\u3002\u4e24\u4e2a\u8fed\u4ee3\u5668 𝑖, 𝑗 \u72ec\u7acb（independent）\u5f53：
\n\u2200𝑓 \u2208 𝔐(𝑖), 𝑔 \u2208 𝔐(𝑗). 𝑓 \u2218 𝑔 \u2243 𝑔 \u2218 𝑓
\n\u2200𝑖\u2032 \u2208 reach(𝑖), 𝑔 \u2208 𝔐(𝑗), 𝛾 \u2208 \u0393. pr2,3(𝑖\u2032(𝑔(𝛾))) \u2243 pr2,3(𝑖\u2032(𝛾))
\n\u4e14\u5728 𝑗 \u4e2d\u5bf9\u79f0\u3002\u4e00\u4e2a\u65cf\u7fa4\u4e24\u4e24\u72ec\u7acb\u5f53\u6bcf\u5bf9 𝑙 \u2260 𝑙\u2032 \u7684 𝑖𝑙, 𝑖𝑙\u2032 \u72ec\u7acb；\u4e00\u4e2a\u6b65\u9aa4\u5e8f\u5217\u4e24\u4e24\u72ec\u7acb\u5f53\u5e8f\u5217\u6240\u6301\u540d\u96c6\u5408 𝑁 \u4e0a\u7684 (𝑒𝑛) \u4e24\u4e24\u72ec\u7acb\u3002<\/p>\n
\u5b9a\u7406 61（\u6062\u590d\u7cbe\u786e\u6027）\u3002 \u4ee4\u6b65\u9aa4\u5e8f\u5217\u4e24\u4e24\u72ec\u7acb，\u4ee4 𝑛 \u7684\u4e00\u5e55\u5728 𝑏 \u5f00\u542f，𝑢 \u2265 𝑏 \u5728\u5176\u4e2d，\u4ee4 𝑡1 < \u22ef < 𝑡𝑙 \u4e3a [𝑏, 𝑢) \u4e2d\u4f5c\u7528\u7ea4\u7ef4\u975e 𝑛 \u7684\u6307\u6807\u3002\u5219
\n𝑔𝑢𝑛(𝛾𝑢) \u2248 (\u03a8𝑡𝑙 \u2218 \u22ef \u2218 \u03a8𝑡1)(𝛾𝑏)
\n\u5373\u5728 𝛾𝑢 \u5904\u5e94\u7528 𝑛 \u7684\u7d2f\u52a0\u5668，\u5f97\u5230（\u63a7\u5236\u5b57\u6bb5\u4ee5\u5916）\u90a3\u4e9b\u76f8\u540c\u6b65\u9aa4\u672c\u4f1a\u4ece 𝛾𝑏 \u4ea7\u751f\u7684\u72b6\u6001\u3002<\/p>\n
\u63a8\u8bba 62（\u7ec8\u6001\u6062\u590d）\u3002 \u4ee4\u6b65\u9aa4\u5e8f\u5217\u4e24\u4e24\u72ec\u7acb，\u4ee4 𝑛 \u7684\u4e00\u5e55\u5728 𝑏 \u5f00\u542f\u3001\u5728 𝑢 \u5173\u95ed，\u65e0\u8bba 𝑛 \u5230\u8fbe\u4f55\u79cd\u7ed3\u679c\u3002\u5219
\n𝛾𝑢+1 \u2248 (\u03a8𝑡𝑙 \u2218 \u22ef � \u03a8𝑡1)(𝛾𝑏)
\n\u88ab O-Remove \u79fb\u9664\u7684\u7ea4\u7ef4\u4e5f\u4e0d\u7559\u4e0b\u4efb\u4f55\u4e1c\u897f\u3002<\/p>\n
\u4e0a\u8ff0\u7ed3\u679c\u628a\u4e24\u4e24\u72ec\u7acb\u6027\u5047\u8bbe\u4e8e\u7ec4\u4ef6，\u800c\u7b2c3.3.2\u8282\u6b63\u662f\u6d88\u89e3\u5b83\u4e4b\u5904：\u5f53\u7ec4\u4ef6\u6267\u884c\u7684\u6bcf\u4e2a\u6548\u5e94\u90fd\u662f\u67d0\u4e2a\u952e\u7684\u64cd\u4f5c\u3001\u4e14\u6bcf\u4e2a\u952e\u90fd\u4ea4\u6362\u65f6，\u7531\u8fd9\u4e9b\u64cd\u4f5c\u6784\u5efa\u7684\u4efb\u610f\u4e24\u4e2a\u6548\u5e94\u51fd\u6570\u90fd\u72ec\u7acb（\u5b9a\u740642）\u3002\u7b2c3.2\u8282\u7684\u534f\u540c\u6548\u5e94\u64cd\u4f5c\u662f\u5b8c\u5168\u65e0\u9700\u5047\u8bbe\u7684\u60c5\u5f62：\u7ec4\u4ef6\u5728\u90a3\u91cc\u8d21\u732e\u7684\u6620\u5c04\u662f\u96c6\u5408\u64cd\u4f5c\u4e0e\u76f8\u5e94\u9650\u5236\u7684\u590d\u5408，\u4e24\u4e2a\u8fd9\u6837\u7684\u6620\u5c04\u53ea\u8981\u89e6\u53ca\u4e0d\u76f8\u4ea4\u7684\u952e\u5c31\u4ea4\u6362，\u800c\u5b9a\u4e4958\u7684\u6761\u6b3e(2)\u4f7f\u4e0d\u540c\u7ea4\u7ef4\u7684\u4f9b\u7ed9\u4e0d\u76f8\u4ea4\u3002<\/p>\n
\u65f6\u95f4\u53ef\u7ec4\u5408\u6027（temporal composability）\u56de\u7b54\u7684\u662f\u8fd9\u4e2a\u5168\u5c40\u95ee\u9898：\u5f53\u4e00\u4e2a\u7ea4\u7ef4 𝑛 \u5728\u67d0\u72b6\u6001 𝛾𝑏 \u4e0b\u6784\u5efa\u4e86\u7d2f\u52a0\u5668 𝑔𝑛（\u4e00\u4e32\u9006\u51fd\u6570），\u7136\u540e\u5176\u4ed6\u7ea4\u7ef4\u5728\u4e2d\u95f4\u63d2\u961f\u6267\u884c\u4e86\u4e00\u5806\u6b65\u9aa4，\u628a\u72b6\u6001\u63a8\u8fdb\u5230 𝛾𝑢\u2014\u2014\u8fd9\u65f6\u518d\u8fd0\u884c 𝑔𝑛，\u5b83\u8fd8\u80fd\u7cbe\u786e\u64a4\u9500 𝑛 \u5f53\u521d\u5b89\u88c5\u7684\u4e1c\u897f\u5417？\u8fd8\u662f\u5df2\u7ecf\u88ab\u4e2d\u95f4\u7684\u6b65\u9aa4"\u6c61\u67d3"\u4e86？ \u8fd9\u662f\u628a\u7b2c3\u7ae0\u7684\u5c40\u90e8\u6062\u590d\u7cbe\u786e\u6027（\u5355\u4e2a\u7ec4\u4ef6\u3001\u5355\u7ebf\u7a0b）\u63a8\u5e7f\u5230\u591a\u7ea4\u7ef4\u4ea4\u9519\u7684\u5168\u5c40\u573a\u666f\u3002<\/p>\n
\u6838\u5fc3\u6761\u4ef6\u662f"\u4e24\u4e24\u72ec\u7acb\u6027"（pairwise independence）\u3002 \u5b9a\u4e4960\u628a\u7b2c3\u7ae0\u7684\u72ec\u7acb\u6027（Definition 19）\u6269\u5c55\u5230\u8fed\u4ee3\u5668：\u4e24\u4e2a\u7ea4\u7ef4\u7684\u6548\u5e94\u8fed\u4ee3\u5668\u72ec\u7acb，\u610f\u5473\u7740\u5b83\u4eec\u4ea7\u751f\u7684\u6240\u6709\u524d\u5411\u6620\u5c04\u548c\u9006\u51fd\u6570\u4e24\u4e24\u4ea4\u6362（𝑓 \u2218 𝑔 \u2243 𝑔 \u2218 𝑓），\u4e14\u4e00\u4e2a\u8fed\u4ee3\u5668\u5728\u53e6\u4e00\u4e2a\u6620\u5c04\u4f5c\u7528\u8fc7\u7684\u72b6\u6001\u4e0a\u4ea7\u51fa\u7684\u9006\u4e0e\u7eed\u5ef6\u4e0d\u53d8\u3002\u7b2c\u4e00\u6761\u4ef6\u662f"\u6620\u5c04\u53ef\u4ea4\u6362"（trace \u7406\u8bba\u91cc\u91cd\u6392\u76f8\u90bb\u72ec\u7acb\u52a8\u4f5c\u4fdd\u6301\u7ec8\u70b9\u7684\u57fa\u7840，\u5f15\u7528[44]）；\u7b2c\u4e8c\u6761\u4ef6\u66f4\u5f3a，Theorem 73 \u8fd8\u9700\u8981\u5b83\u2014\u2014\u56e0\u4e3a\u91cd\u6392\u4e24\u4e2a\u7ea4\u7ef4\u7684\u6b65\u9aa4\u610f\u5473\u7740\u5728\u4e00\u4e2a\u88ab\u53e6\u4e00\u7ea4\u7ef4\u79fb\u52a8\u8fc7\u7684\u72b6\u6001\u4e0a\u6c42\u503c\u8fed\u4ee3\u5668，\u5149\u6620\u5c04\u53ef\u4ea4\u6362\u8fd8\u4e0d\u591f，\u8fd8\u8981\u4fdd\u8bc1\u8fed\u4ee3\u5668\u5728\u90a3\u91cc\u4ea7\u51fa\u540c\u6837\u7684\u9006\u548c\u7eed\u5ef6\u3002<\/p>\n
Theorem 61（\u6062\u590d\u7cbe\u786e\u6027）\u7684\u542b\u4e49\u3002 \u5b83\u8bf4：\u5728 𝑛 \u7684\u6574\u4e2a episode（\u4ece L-Begin \u5230 L-Unload）\u5185，𝑛 \u7684\u7d2f\u52a0\u5668 𝑔𝑢𝑛 \u5728\u6700\u7ec8\u72b6\u6001 𝛾𝑢 \u4e0a\u8fd0\u884c，\u5f97\u5230\u7684\u72b6\u6001（\u63a7\u5236\u5b57\u6bb5\u4ee5\u5916）\u6070\u597d\u7b49\u4e8e"\u90a3\u4e9b\u975e 𝑛 \u7684\u4e2d\u95f4\u6b65\u9aa4\u5355\u72ec\u4ece 𝛾𝑏 \u8dd1\u51fa\u6765\u7684\u72b6\u6001"\u3002\u6362\u53e5\u8bdd\u8bf4，𝑛 \u7684\u5b89\u88c5\u4e0e\u5378\u8f7d\u5728\u6574\u4f53\u6548\u679c\u4e0a\u662f"\u51c0\u96f6"\u7684\u2014\u2014\u5b83\u88c5\u4e86\u4ec0\u4e48\u3001\u5378\u4e86\u4ec0\u4e48，\u5bf9\u73af\u5883\u7684\u51c0\u5f71\u54cd\u5c31\u662f\u96f6，\u4eff\u4f5b 𝑛 \u4ece\u672a\u5b58\u5728\u8fc7\u3002\u8fd9\u662f\u5c40\u90e8\u65f6\u95f4\u53ef\u7ec4\u5408\u6027"\u4e00\u4e2a\u7d2f\u52a0\u5668\u6062\u590d\u4e00\u4e32\u6548\u5e94"\u7684\u5168\u5c40\u7248\u672c：\u5373\u4f7f\u4e2d\u95f4\u88ab\u522b\u7684\u7ea4\u7ef4\u63d2\u4e86\u4e00\u811a，𝑔𝑛 \u4ecd\u7136\u7cbe\u786e\u64a4\u9500 𝑛 \u81ea\u5df1\u7684\u8d21\u732e，\u4e0d\u591a\u4e0d\u5c11\u3002\u53f3\u5f0f\u8bfb\u4f5c"\u5047\u5982 𝑛 \u4ece\u672a\u5f00\u59cb"\u8fd8\u8981\u989d\u5916\u5047\u8bbe 𝑛 \u6ce8\u518c\u7684\u5b50\u7ea4\u7ef4\u4e5f\u6ca1\u5728\u533a\u95f4\u5185\u884c\u52a8\u3002<\/p>\n
\u8bc1\u660e\u6897\u6982： \u5bf9 𝑢 \u5f52\u7eb3\u3002𝑛 \u81ea\u5df1\u7684\u6b65\u9aa4\u5206\u4e24\u7c7b\u2014\u2014\u8fed\u4ee3\u843d\u5730\u7c7b（L-Iter\/L-Finish\/\u843d\u5730 L-Divert）\u4f7f 𝑔𝑛+1 = 𝑔𝑛 \u2218 \u210e，\u7ed3\u5408\u89c1\u8bc1\u6761\u4ef6 \u210e(\u03a8𝑢(𝛾𝑢)) \u2243 𝛾𝑢 \u5f97 𝑔𝑛+1(𝛾𝑢+1) \u2248 𝑔𝑛(𝛾𝑢)，\u5f52\u7eb3\u5047\u8bbe\u4e0d\u53d8\u4f20\u9012；\u975e\u843d\u5730\u7c7b（L-Leave\/L-Raise\/\u653e\u5f03 L-Divert\/O-Retire）\u4f7f 𝑔𝑛 \u4e0d\u53d8\u3002𝑚 \u2260 𝑛 \u7684\u6b65\u9aa4\u4f7f 𝑔𝑛 \u4e0d\u53d8\u4f46 \u03a8𝑢 \u2208 𝔐(𝑒𝑚)，\u7531\u72ec\u7acb\u6027 𝑔𝑛(𝛾𝑢+1) \u2248 \u03a8𝑢(𝑔𝑛(𝛾𝑢))，\u5f52\u7eb3\u5047\u8bbe\u628a \u03a8𝑢 \u8ffd\u52a0\u8fdb\u53bb\u3002\u6574\u4e2a\u8bc1\u660e\u5c31\u662f Theorem 7 \u7684\u8ba1\u7b97\u4e00\u6b65\u4e00\u6b65\u642c\u8fc7\u6765，\u72ec\u7acb\u6027\u5728\u6bcf\u4e2a\u975e 𝑛 \u6b65\u9aa4\u5904\u628a 𝑔𝑛 \u4e0e \u03a8𝑢 \u4ea4\u6362\u3002<\/p>\n
Corollary 62（\u7ec8\u6001\u6062\u590d）\u7684\u542b\u4e49\u3002 \u5f53 episode \u5173\u95ed（𝑛 \u7684 L-Unload \u6267\u884c\u4e86），\u7531\u5f15\u740654(4) \u8be5\u6b65\u662f L-Unload，\u7531\u5f15\u740654(3) \u03a8𝑢 = 𝑔𝑛，\u6240\u4ee5 𝛾𝑢+1 \u2248 𝑔𝑛(𝛾𝑢)，\u76f4\u63a5\u5957 Theorem 61\u3002\u8fd9\u8bf4\u65e0\u8bba 𝑛 \u4ee5\u4f55\u79cd\u7ed3\u679c\u7ed3\u675f（\u6b63\u5e38\u3001\u88ab\u8f6c\u5411\u3001\u5931\u8d25），\u5b83\u5173\u95ed\u540e\u7559\u4e0b\u7684\u72b6\u6001\u7b49\u4e8e"𝑛 \u4ece\u672a\u5f00\u59cb"\u7684\u72b6\u6001\u2014\u2014\u5931\u8d25\u7ea4\u7ef4\u7684\u8d21\u732e\u4e3a\u96f6\u3002O-Remove \u79fb\u9664\u7684\u7ea4\u7ef4\u4e5f\u4ec0\u4e48\u90fd\u4e0d\u7559\u3002\u8fd9\u662f\u6c47\u5408\u6027（4.4.5）\u7684\u57fa\u77f3：\u4efb\u4f55\u52a8\u6001\u5386\u53f2\u90fd\u4e0d\u7559\u75d5\u8ff9\u3002<\/p>\n
\u72ec\u7acb\u6027\u5982\u4f55\u6d88\u89e3？ \u8bba\u6587\u6307\u51fa\u7b2c3.3.2\u8282\u6b63\u662f\u6d88\u89e3\u70b9：\u5982\u679c\u7ec4\u4ef6\u7684\u6bcf\u4e2a\u6548\u5e94\u90fd\u662f\u67d0\u4e2a\u952e\u7684\u64cd\u4f5c\u3001\u4e14\u6bcf\u4e2a\u952e\u90fd\u4ea4\u6362（commutative），\u90a3\u4e48\u4efb\u610f\u4e24\u4e2a\u7531\u8fd9\u4e9b\u64cd\u4f5c\u6784\u5efa\u7684\u6548\u5e94\u51fd\u6570\u90fd\u72ec\u7acb（Theorem 42）\u3002\u534f\u540c\u6548\u5e94\u64cd\u4f5c\u662f\u5b8c\u5168\u65e0\u9700\u5047\u8bbe\u7684\u60c5\u5f62：\u7ec4\u4ef6\u8d21\u732e\u7684\u6620\u5c04\u662f\u96c6\u5408\u64cd\u4f5c（\u589e\u5220\u952e\u503c）\u4e0e\u76f8\u5e94\u9650\u5236\u7684\u590d\u5408，\u4e24\u4e2a\u8fd9\u6837\u7684\u6620\u5c04\u53ea\u8981\u89e6\u53ca\u4e0d\u76f8\u4ea4\u7684\u952e\u5c31\u4ea4\u6362，\u800c\u5b9a\u4e4958\u7684\u6761\u6b3e(2)（\u4f9b\u7ed9\u4e0d\u76f8\u4ea4）\u6070\u597d\u4fdd\u8bc1\u4e86\u4e0d\u540c\u7ea4\u7ef4\u89e6\u53ca\u4e0d\u76f8\u4ea4\u7684\u952e\u3002\u8fd9\u662f\u4e00\u4e2a\u7f8e\u5999\u7684\u95ed\u73af：4.1 \u7684\u4f9b\u7ed9\u4e0d\u76f8\u4ea4\u6027 \u2192 \u534f\u540c\u6548\u5e94\u64cd\u4f5c\u81ea\u52a8\u72ec\u7acb \u2192 \u65f6\u95f4\u53ef\u7ec4\u5408\u6027\u81ea\u52a8\u6210\u7acb\u3002\u5de5\u7a0b\u4e0a，\u8fd9\u610f\u5473\u7740\u53ea\u8981\u7ec4\u4ef6\u9075\u5b88"\u53ea\u5199\u81ea\u5df1\u58f0\u660e\u7684\u952e\u3001\u952e\u64cd\u4f5c\u53ef\u4ea4\u6362"\u7684\u7eaa\u5f8b，\u591a\u7ec4\u4ef6\u5e76\u53d1\u4ea4\u9519\u5c31\u4fdd\u8bc1\u6062\u590d\u7cbe\u786e，\u65e0\u9700\u989d\u5916\u7684\u9501\u6216\u534f\u8c03\u3002<\/p>\n
\u4e0e Cordis\/DSH \u5b9e\u8df5\u7684\u5bf9\u5e94\u3002 \u8fd9\u6b63\u662f"\u70ed\u91cd\u8f7d\/\u52a8\u6001\u88c5\u5378\u8f7d\u4e0d\u7559\u810f\u72b6\u6001"\u7684\u7406\u8bba\u4fdd\u8bc1：\u4e00\u4e2a\u63d2\u4ef6\u88ab\u88c5\u8f7d\u3001\u8fd0\u884c\u4e00\u6bb5\u65f6\u95f4\u3001\u53c8\u88ab\u5378\u8f7d，\u671f\u95f4\u5176\u4ed6\u63d2\u4ef6\u4e5f\u5728\u5e76\u53d1\u8fd0\u884c\u3001\u6539\u72b6\u6001\u2014\u2014\u4f46\u5378\u8f7d\u540e\u7cfb\u7edf\u72b6\u6001（\u9664\u63a7\u5236\u5b57\u6bb5\u5916）\u7b49\u540c\u4e8e\u8fd9\u4e2a\u63d2\u4ef6\u4ece\u672a\u88ab\u88c5\u8f7d\u8fc7\u3002\u8fd9\u8ba9"\u53cd\u590d\u88c5\u8f7d-\u5378\u8f7d-\u91cd\u88c5\u8f7d"\u662f\u5b89\u5168\u7684，\u4e0d\u4f1a\u7d2f\u79ef\u6b8b\u7559\u3002\u5b83\u4e5f\u662f\u6545\u969c\u9694\u79bb\u7684\u65f6\u95f4\u7ef4\u5ea6：\u4e00\u4e2a\u5931\u8d25\u7ec4\u4ef6\u7684\u526f\u4f5c\u7528\u88ab\u7cbe\u786e\u56de\u6eda，\u4e0d\u4f1a\u56e0\u4e3a\u522b\u7684\u7ec4\u4ef6\u5728\u4e2d\u95f4\u52a8\u4e86\u72b6\u6001\u800c\u56de\u6eda\u4e0d\u5e72\u51c0\u3002<\/p>\n
Local spatial composability holds a component to its own specification, activating it only where its dependencies are provided and classifying every context change against them (Section 3.2.2). The global form adds what quantifies over other fibers: a provider withdraws a binding only after every dependent that resolved it has deactivated, and the resolution a transition installs its effects against does not shift under it. Two properties of the coeffect side deliver the two, proved together as two halves of one invariant, namely the fixity of 𝜔𝑛 over an episode that Lemma 54(2) establishes. The ordering theorem is what that fixity buys over the part of the episode in which 𝑛 is 𝖠𝖼𝗍𝗂𝗏𝖾 and then 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀, and the coherence theorem what it buys over the part in which 𝑛 is installing its effects.<\/p>\n
Theorem 63 (Ordering). A fiber begins a transition only where its dependencies are provided:
\nstep𝑡 = L-Begin(𝑚) \u21d2 𝛾𝑡 \u22a7 𝑑𝑚
\nLet further [𝑏\u2032, 𝑢\u2032] be an episode of 𝑚 with 𝜔𝑏\u2032𝑚(𝑘) = 𝑛 for some 𝑚 \u2260 𝑛 and 𝑘 \u2208 𝑑𝑚, let [𝑏, 𝑢] be the episode of 𝑛 containing 𝑏\u2032, and let 𝑡 range over [𝑏\u2032, 𝑢\u2032]. Then:<\/p>\n
Theorem 64 (Resolution coherence). Let an episode [𝑏, 𝑢] of 𝑛 open at 𝑏 with 𝜔𝑏𝑛 = 𝜔. Then 𝜃𝑛 is 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(\u2212, \u2212, \u2212) on an initial interval [𝑏, 𝑟] of the episode, and every iteration of the transition runs against the one resolution 𝜔:
\n\u2200𝑡 \u2208 [𝑏, 𝑟]. step𝑡 \u2208 {L-Iter(𝑛), L-Finish(𝑛)} \u21d2 target𝑡𝑛 = 𝜔
\nWhere the fiber leaves that interval, so that 𝑟 < 𝑢, exactly one of the following holds:<\/p>\n
\u5c40\u90e8\u7a7a\u95f4\u53ef\u7ec4\u5408\u6027\u628a\u7ec4\u4ef6\u7ea6\u675f\u5728\u81ea\u5df1\u7684\u89c4\u7ea6\u4e0a：\u53ea\u5728\u4f9d\u8d56\u88ab\u63d0\u4f9b\u5904\u6fc0\u6d3b\u5b83，\u5e76\u628a\u6bcf\u6b21\u4e0a\u4e0b\u6587\u53d8\u66f4\u5bf9\u7167\u4f9d\u8d56\u5206\u7c7b（\u7b2c3.2.2\u8282）\u3002\u5168\u5c40\u5f62\u5f0f\u52a0\u4e0a\u91cf\u5316\u4e8e\u5176\u4ed6\u7ea4\u7ef4\u7684\u5185\u5bb9：\u4e00\u4e2a\u63d0\u4f9b\u8005\u53ea\u6709\u5728\u5176\u6bcf\u4e2a\u89e3\u6790\u5230\u5b83\u7684\u4f9d\u8d56\u8005\u90fd\u5df2\u53bb\u6fc0\u6d3b\u540e\u624d\u64a4\u56de\u4e00\u4e2a\u7ed1\u5b9a，\u4e14\u4e00\u6b21\u8f6c\u6362\u5b89\u88c5\u6548\u5e94\u6240\u4f9d\u636e\u7684\u89e3\u6790\u4e0d\u5728\u5b83\u5e95\u4e0b\u79fb\u52a8\u3002\u534f\u540c\u6548\u5e94\u4fa7\u7684\u4e24\u4e2a\u6027\u8d28\u7ed9\u51fa\u8fd9\u4e24\u70b9，\u4f5c\u4e3a\u540c\u4e00\u4e0d\u53d8\u5f0f\u2014\u2014\u5f15\u740654(2)\u786e\u7acb\u7684 𝜔𝑛 \u5728\u4e00\u5e55\u4e2d\u7684\u56fa\u5b9a\u6027\u2014\u2014\u7684\u4e24\u534a\u4e00\u8d77\u8bc1\u660e\u3002\u6392\u5e8f\u5b9a\u7406\u662f\u8fd9\u4e00\u56fa\u5b9a\u6027\u5728 𝑛 \u4e3a 𝖠𝖼𝗍𝗂𝗏𝖾 \u7136\u540e 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u7684\u90a3\u90e8\u5206\u5e55\u4e0a\u6362\u6765\u7684，\u800c\u76f8\u5e72\u5b9a\u7406\u662f\u5b83\u5728 𝑛 \u5b89\u88c5\u6548\u5e94\u7684\u90a3\u90e8\u5206\u5e55\u4e0a\u6362\u6765\u7684\u3002<\/p>\n
\u5b9a\u7406 63（\u6392\u5e8f）\u3002 \u4e00\u4e2a\u7ea4\u7ef4\u53ea\u5728\u4f9d\u8d56\u88ab\u63d0\u4f9b\u5904\u5f00\u59cb\u8f6c\u6362：
\nstep𝑡 = L-Begin(𝑚) \u21d2 𝛾𝑡 \u22a7 𝑑𝑚
\n\u8fdb\u4e00\u6b65\u4ee4 [𝑏\u2032, 𝑢\u2032] \u4e3a 𝑚 \u7684\u4e00\u5e55，\u5176\u4e2d 𝜔𝑏\u2032𝑚(𝑘) = 𝑛 \u5bf9\u67d0 𝑚 \u2260 𝑛 \u4e0e 𝑘 \u2208 𝑑𝑚 \u6210\u7acb，\u4ee4 [𝑏, 𝑢] \u4e3a\u542b 𝑏\u2032 \u7684 𝑛 \u7684\u4e00\u5e55，𝑡 \u904d\u5386 [𝑏\u2032, 𝑢\u2032]\u3002\u5219：<\/p>\n
\u5b9a\u7406 64（\u89e3\u6790\u76f8\u5e72\u6027）\u3002 \u4ee4 𝑛 \u7684\u4e00\u5e55 [𝑏, 𝑢] \u5728 𝑏 \u5f00\u542f\u4e14 𝜔𝑏𝑛 = 𝜔\u3002\u5219 𝜃𝑛 \u5728\u8be5\u5e55\u7684\u521d\u59cb\u533a\u95f4 [𝑏, 𝑟] \u4e0a\u4e3a 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀(\u2212, \u2212, \u2212)，\u4e14\u8f6c\u6362\u7684\u6bcf\u6b21\u8fed\u4ee3\u90fd\u4f9d\u636e\u540c\u4e00\u4e2a\u89e3\u6790 𝜔 \u8fd0\u884c：
\n\u2200𝑡 \u2208 [𝑏, 𝑟]. step𝑡 \u2208 {L-Iter(𝑛), L-Finish(𝑛)} \u21d2 target𝑡𝑛 = 𝜔
\n\u5f53\u7ea4\u7ef4\u79bb\u5f00\u8be5\u533a\u95f4，\u5373 𝑟 < 𝑢 \u65f6，\u6070\u6709\u5176\u4e00\u6210\u7acb：<\/p>\n
\u7a7a\u95f4\u53ef\u7ec4\u5408\u6027（spatial composability）\u56de\u7b54\u7684\u662f\u8fd9\u4e2a\u5168\u5c40\u95ee\u9898：\u591a\u4e2a\u7ea4\u7ef4\u5e76\u53d1\u5b58\u5728\u65f6，"\u8c01\u8be5\u5148\u6fc0\u6d3b\u3001\u8c01\u8be5\u540e\u5378\u8f7d\u3001\u4f9d\u8d56\u89e3\u6790\u4f1a\u4e0d\u4f1a\u5728\u8f6c\u6362\u4e2d\u9014\u88ab\u6362\u6389"\u8fd9\u4e9b\u8de8\u7ea4\u7ef4\u7684\u56e0\u679c\u7ea6\u675f\u662f\u5426\u6210\u7acb？ \u5b83\u7531\u4e24\u4e2a\u5b9a\u7406\u5171\u540c\u4fdd\u8bc1，\u4e8c\u8005\u90fd\u5efa\u7acb\u5728\u5f15\u740654(2)\u7684\u540c\u4e00\u4e0d\u53d8\u5f0f\u4e0a：\u5df2\u63d0\u4ea4\u89c6\u56fe 𝜔𝑛 \u5728 𝑛 \u7684\u6574\u4e2a episode \u5185\u4fdd\u6301\u4e0d\u53d8\u3002<\/p>\n
Theorem 63（\u6392\u5e8f）\u6709\u4e09\u5c42\u542b\u4e49\u3002 \u7b2c\u4e00\u5c42\u662f"\u6fc0\u6d3b\u6709\u524d\u63d0"：L-Begin \u53ea\u5728 𝛾𝑡 \u22a7 𝑑𝑚 \u65f6\u53d1\u751f\u2014\u2014\u5373\u4f9d\u8d56\u90fd\u6ee1\u8db3\u624d\u6fc0\u6d3b，\u8fd9\u662f L-Begin \u524d\u63d0 target \u2260 \u22a5 \u7684\u76f4\u63a5\u8bfb\u51fa\u3002\u7b2c\u4e8c\u5c42\u662f\u6838\u5fc3\u7684"\u63d0\u4f9b\u8005\u6d3b\u8fc7\u6d88\u8d39\u8005"：\u5982\u679c\u4e00\u4e2a\u6d88\u8d39\u8005 𝑚 \u5728\u5176 episode \u4e2d\u628a\u952e 𝑘 \u89e3\u6790\u5230\u63d0\u4f9b\u8005 𝑛，\u90a3\u4e48(1)\u6574\u4e2a 𝑚 \u7684 episode \u671f\u95f4 𝜔𝑚(𝑘) \u59cb\u7ec8\u662f 𝑛（\u5df2\u63d0\u4ea4\u89c6\u56fe\u4e0d\u53d8）；(2) 𝑛 \u7684 episode \u4e25\u683c\u5305\u542b 𝑚 \u7684\u2014\u2014𝑛 \u5148\u5f00\u59cb（𝑏 < 𝑏\u2032）\u3001\u540e\u7ed3\u675f（𝑢\u2032 < 𝑢）\u3002\u5373\u63d0\u4f9b\u8005\u4e00\u5b9a\u5148\u4e8e\u6d88\u8d39\u8005\u6fc0\u6d3b\u3001\u540e\u4e8e\u6d88\u8d39\u8005\u5378\u8f7d\u2014\u2014\u8fd9\u6b63\u662f 4.3.1 \u64a4\u56de\u5b88\u536b\u8981\u4ea4\u4ed8\u7684"\u4f9d\u8d56\u53ea\u6709\u5728\u4f9d\u8d56\u8005\u90fd\u53bb\u6fc0\u6d3b\u540e\u624d\u64a4\u56de"\u3002\u7b2c\u4e09\u5c42\u662f"\u503c\u7a33\u5b9a"：\u5728 𝑚 \u7684 episode \u671f\u95f4，𝑘 \u5728 𝑛 \u8868\u91cc\u7684\u503c\u4e0d\u53d8（𝜎𝑡𝑛(𝑘) = 𝜎𝑏\u2032𝑛(𝑘)），\u56e0\u4e3a 𝑛 \u5728\u6b64\u671f\u95f4\u53ea\u80fd\u662f 𝖠𝖼𝗍𝗂𝗏𝖾 \u6216 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀，L-Leave \u662f\u552f\u4e00\u53ef\u80fd\u4f5c\u7528\u4e8e\u5b83\u7684\u89c4\u5219\u4e14 \u03a8=id\u0393 \u4e0d\u6539\u8868\u3002<\/p>\n
\u8bc1\u660e\u6897\u6982： (1) \u76f4\u63a5\u662f\u5f15\u740654(2)\u3002(2) 𝑚 \u7684 L-Begin \u5728 𝑏\u2032\u22121 \u5199 𝜔𝑏\u2032𝑚 = target，target \u7684\u503c\u662f\u63d0\u4f9b\u8005，\u6545 𝑛 \u5728 𝑏\u2032 \u5df2 𝖠𝖼𝗍𝗂𝗏𝖾；\u800c 𝑛 \u7684 L-Begin \u5728 𝑏\u22121 \u7559\u4e0b 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀，\u6545 𝑏 \u2260 𝑏\u2032，\u5373 𝑏 < 𝑏\u2032\u3002\u82e5 𝑛 \u7684 episode \u5728 𝑢 \u5173\u95ed\u4e14 𝑢 \u2264 𝑢\u2032，\u5219 𝑢 \u2208 [𝑏\u2032,𝑢\u2032]，\u7531(1) 𝜔𝑢𝑚(𝑘)=𝑛 \u5373 relied𝑢𝑛，\u4f46 𝑢 \u5904\u7684 L-Unload \u5426\u8ba4 relied\u2014\u2014\u77db\u76fe，\u6545 𝑢\u2032 < 𝑢\u3002(3) \u7531(2) 𝑛 \u7684 L-Unload \u5728 [𝑏\u2032,𝑢\u2032] \u4e4b\u5916，\u4e14 𝑛 \u5728 [𝑏\u2032,𝑢\u2032] \u8d77\u70b9\u5df2\u662f 𝖠𝖼𝗍𝗂𝗏𝖾，\u6545\u53ea\u6709 L-Leave \u53ef\u80fd\u4f5c\u7528\u4e8e 𝑛，\u5176 \u03a8=id\u0393，\u8868\u4e0d\u53d8\u3002\u6574\u4e2a\u8bc1\u660e\u7684\u529b\u91cf\u6765\u81ea L-Unload \u5b88\u536b \u00ac relied：\u5b83\u6b63\u662f\u963b\u6b62"\u63d0\u4f9b\u8005\u5728\u6d88\u8d39\u8005\u8fd8\u6d3b\u7740\u65f6\u5378\u8f7d"\u7684\u673a\u5236，\u6392\u5e8f\u6027\u662f\u5b88\u536b\u7684\u56de\u62a5\u3002<\/p>\n
Theorem 64（\u89e3\u6790\u76f8\u5e72\u6027）\u89e3\u51b3"\u591a\u9636\u6bb5\u6fc0\u6d3b\u4e2d\u9014\u4f9d\u8d56\u88ab\u6362"\u7684\u95ee\u9898\u3002 \u5b83\u8bf4：𝑛 \u7684 episode \u5f00\u5934\u6709\u4e00\u6bb5 𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u533a\u95f4 [𝑏, 𝑟]，\u5728\u8fd9\u6bb5\u91cc\u6bcf\u6b21\u8fed\u4ee3\u90fd\u4f9d\u636e\u540c\u4e00\u4e2a\u89e3\u6790 𝜔 \u8fd0\u884c（target𝑡𝑛 = 𝜔）\u3002\u79bb\u5f00\u8fd9\u6bb5\u53ea\u6709\u4e24\u79cd\u60c5\u51b5：\u8981\u4e48 L-Finish \u6210\u529f\u8fdb\u5165 𝖠𝖼𝗍𝗂𝗏𝖾(\u2212, 𝜔)（\u5e26\u7740\u539f\u89e3\u6790\u6fc0\u6d3b）；\u8981\u4e48 L-Divert\/L-Raise \u9000\u51fa，episode \u5173\u95ed\u4e14\u6309\u63a8\u8bba62\u51c0\u96f6\u6062\u590d\u3002\u5173\u952e\u5728\u4e8e：\u4e00\u4e2a\u591a\u9636\u6bb5\u8f6c\u6362\u7edd\u4e0d\u4f1a"\u88c5\u4e86\u4e00\u534a\u53d1\u73b0\u89e3\u6790\u53d8\u4e86\u8fd8\u7ee7\u7eed\u88c5"\u2014\u2014L-Iter\/L-Finish \u5e26 target=𝜔 \u524d\u63d0，\u4e00\u65e6 target \u504f\u79bb 𝜔 \u5c31\u8d70 L-Divert \u9000\u51fa\u3002L-Raise \u4e0d\u770b target（\u629b\u9519\u662f\u8fed\u4ee3\u81ea\u5df1\u7684\u4e8b，\u4e0d\u662f\u73af\u5883\u8981\u6c42\u7684），\u4efb\u4f55\u60c5\u51b5\u4e0b\u90fd\u9000\u51fa\u8f6c\u6362\u3002\u4e24\u4e2a\u53d8\u5316\u65b9\u5411\u4e0d\u5206\u5f7c\u6b64：\u4f9d\u8d56\u6d88\u5931（target \u53d8 \u22a5）\u548c\u4f9d\u8d56\u88ab\u66ff\u6362（target \u53d8\u522b\u7684\u7ea4\u7ef4）\u90fd\u540c\u6837\u4f7f target \u2260 𝜔，\u8d70\u540c\u4e00\u6761\u9000\u51fa\u8def\u5f84\u3002<\/p>\n
\u60ef\u6027\u7684\u8fb9\u754c\u3002 \u8bba\u6587\u8bda\u5b9e\u6307\u51fa：\u5982\u679c\u4e00\u6b21\u8fed\u4ee3\u6b63\u5728\u5f02\u6b65\u98de\u884c\u65f6 target \u8f6c\u4e86，\u60ef\u6027\u4f7f\u5b83\u5fc5\u987b\u843d\u5730（4.3.3），\u843d\u5730\u7684\u8fed\u4ee3\u88c5\u4e86\u4e00\u4e2a\u4f9d\u636e"\u5df2\u4e0d\u518d\u6210\u7acb"\u7684\u89e3\u6790\u7b97\u51fa\u7684\u6548\u5e94\u3002\u6240\u4ee5\u89c4\u5219\u4ea4\u4ed8\u7684\u662f\u4e00\u4e2a\u6790\u53d6：\u8981\u4e48 target \u6ca1\u53d8\u3001\u88c5\u7684\u662f\u4e00\u81f4\u7684；\u8981\u4e48 target \u53d8\u4e86\u3001\u8d70 L-Divert \u51c0\u96f6\u9000\u51fa\u3002\u7b2c\u4e8c\u4e2a\u5206\u652f\u6b63\u662f\u8ba9\u7b2c\u4e00\u4e2a\u5206\u652f\u5b89\u5168\u7684\u539f\u56e0\u2014\u2014\u6ca1\u6709"\u88c5\u4e86\u4e00\u534a"\u7684\u4e2d\u95f4\u6001\u7559\u5b58\u3002<\/p>\n
\u4e0e Cordis\/DSH \u5b9e\u8df5\u7684\u5bf9\u5e94\u3002 \u6392\u5e8f\u5b9a\u7406\u5bf9\u5e94"\u4f9d\u8d56\u89e3\u6790\u7684\u7a33\u5b9a\u6027"：\u4e00\u65e6\u4e00\u4e2a\u7ec4\u4ef6\u6fc0\u6d3b\u65f6\u628a\u5b83\u7684\u4f9d\u8d56\u89e3\u6790\u5230\u5177\u4f53\u5b9e\u4f8b，\u6574\u4e2a\u751f\u547d\u5468\u671f\u91cc\u8fd9\u4e9b\u89e3\u6790\u4e0d\u4f1a\u5077\u5077\u6362\u6389\u2014\u2014\u5b83\u7528\u7684\u59cb\u7ec8\u662f\u540c\u4e00\u4e2a logger\u3001\u540c\u4e00\u4e2a\u6570\u636e\u5e93\u8fde\u63a5\u6c60\u3002\u8fd9\u907f\u514d\u4e86"\u7ec4\u4ef6 A \u7528\u7740 logger v1，\u4e2d\u9014\u7cfb\u7edf\u628a logger \u6362\u6210 v2，A \u8fd8\u4ee5\u4e3a\u81ea\u5df1\u5728\u7528 v1"\u7684\u6df7\u4e71\u3002\u89e3\u6790\u76f8\u5e72\u6027\u5bf9\u5e94"\u591a\u9636\u6bb5\u521d\u59cb\u5316\u7684\u4e00\u81f4\u6027"：\u4e00\u4e2a\u7ec4\u4ef6\u5206\u9636\u6bb5\u6fc0\u6d3b\u65f6，\u6240\u6709\u9636\u6bb5\u90fd\u57fa\u4e8e\u540c\u4e00\u4efd\u4f9d\u8d56\u5feb\u7167，\u4e0d\u4f1a"\u7b2c\u4e00\u9636\u6bb5\u7528 v1\u3001\u7b2c\u4e8c\u9636\u6bb5\u7528 v2"\u3002\u8fd9\u4e8c\u8005\u5408\u8d77\u6765\u5c31\u662f\u7a7a\u95f4\u53ef\u7ec4\u5408\u6027\u2014\u2014\u7ec4\u4ef6\u5728\u7a7a\u95f4\u4e0a（\u76f8\u5bf9\u4e8e\u5176\u4ed6\u7ec4\u4ef6）\u7684\u884c\u4e3a\u662f\u53ef\u9884\u6d4b\u3001\u4e0d\u968f\u4ed6\u4eba\u52a8\u4f5c\u800c\u6f02\u79fb\u7684\u3002\u8fd9\u4e0e DSH \u7684\u4f9d\u8d56\u6ce8\u5165\u3001\u70ed\u91cd\u8f7d\u4e2d"\u66ff\u6362\u4e00\u4e2a\u670d\u52a1\u8981\u5148\u5378\u8f7d\u6240\u6709\u4f7f\u7528\u8005\u3001\u518d\u88c5\u8f7d\u65b0\u7248\u672c"\u7684\u7eaa\u5f8b\u5b8c\u5168\u5bf9\u5e94\u3002<\/p>\n
A guard that defers a provider\u2019s withdrawal until its dependents are gone delivers Theorem 63 only if it eventually releases. One relation on the fibers of a registry carries the argument.<\/p>\n
Definition 65. The precedence relation on the names of a registry is
\n𝑛 \u227a 𝑚 \u2254 𝑝𝑛 \u2229 𝑑𝑚 \u2260 \u2300
\nso that 𝑛 may provide a key 𝑚 declares. It reads 𝑑 and 𝑝 alone, which by Lemma 54(5) come into existence with a fiber\u2019s entry and are never written again.<\/p>\n
Theorem 66 and Theorem 73 are established on the hypothesis that \u227a is acyclic, which is an assumption and not something the definition delivers, 𝑛 \u227a 𝑛 holding of a component that declares a key it provides itself. What \u227a orders is the two fibers\u2019 activations and not their lifetimes: 𝑛 \u227a 𝑚 says that 𝑛 has to become 𝖠𝖼𝗍𝗂𝗏𝖾 before 𝑚 can, whereas that a provider outlives its consumer is Theorem 63(2).<\/p>\n
Theorem 66 (Progress). Assume \u227a acyclic, len(𝑒𝑛) \u2264 𝐾 for every 𝑛, and the set 𝑁 of names finite; and let every step apply a lifecycle rule. Write 𝑆(𝑛) for the number of steps acting on 𝑛 and 𝑉(𝑛) \u2254 |{𝑡 : target𝑡𝑛 \u2260 target𝑡+1𝑛}| for the number of times its target view turns. Then:<\/p>\n
Finiteness of 𝑁 is assumed rather than derived, and one condition on the components delivers it. The components a host holds are finitely many programs given before anything runs, so if no component can register, however indirectly, a fiber of a component that registers one of its own, the registrations form a tree of bounded depth, and len(𝑒𝑛) \u2264 𝐾 bounds its branching. What the assumption rules out is a component that registers instances of itself without bound.<\/p>\n
\u4e00\u4e2a\u628a\u63d0\u4f9b\u8005\u64a4\u56de\u63a8\u8fdf\u5230\u5176\u4f9d\u8d56\u8005\u90fd\u79bb\u5f00\u7684\u5b88\u536b，\u53ea\u6709\u5728\u5b83\u6700\u7ec8\u91ca\u653e\u65f6\u624d\u4ea4\u4ed8\u5b9a\u740663\u3002\u6ce8\u518c\u8868\u7ea4\u7ef4\u4e0a\u7684\u4e00\u4e2a\u5173\u7cfb\u627f\u8f7d\u8be5\u8bba\u8bc1\u3002<\/p>\n
\u5b9a\u4e49 65\u3002 \u6ce8\u518c\u8868\u540d\u4e0a\u7684\u5148\u5e8f\u5173\u7cfb（precedence relation）\u4e3a
\n𝑛 \u227a 𝑚 \u2254 𝑝𝑛 \u2229 𝑑𝑚 \u2260 \u2300
\n\u5373 𝑛 \u53ef\u80fd\u63d0\u4f9b 𝑚 \u58f0\u660e\u7684\u952e\u3002\u5b83\u53ea\u8bfb 𝑑 \u4e0e 𝑝，\u800c\u7531\u5f15\u740654(5) \u4e8c\u8005\u968f\u7ea4\u7ef4\u6761\u76ee\u4ea7\u751f\u4e14\u4e0d\u518d\u88ab\u5199\u3002<\/p>\n
\u5b9a\u740666\u4e0e\u5b9a\u740673\u5efa\u7acb\u5728 \u227a \u65e0\u73af\u7684\u5047\u8bbe\u4e0a，\u8fd9\u662f\u4e00\u4e2a\u5047\u8bbe\u800c\u975e\u5b9a\u4e49\u6240\u4ea4\u4ed8\u7684\u2014\u2014\u58f0\u660e\u4e00\u4e2a\u81ea\u5df1\u63d0\u4f9b\u7684\u952e\u7684\u7ec4\u4ef6\u6ee1\u8db3 𝑛 \u227a 𝑛\u3002\u227a \u6392\u5e8f\u7684\u662f\u4e24\u4e2a\u7ea4\u7ef4\u7684\u6fc0\u6d3b\u800c\u975e\u5176\u5bff\u547d：𝑛 \u227a 𝑚 \u8bf4\u7684\u662f 𝑛 \u5fc5\u987b\u5148\u4e8e 𝑚 \u6210\u4e3a 𝖠𝖼𝗍𝗂𝗏𝖾，\u800c\u63d0\u4f9b\u8005\u6bd4\u6d88\u8d39\u8005\u957f\u5bff\u5219\u662f\u5b9a\u740663(2)\u3002<\/p>\n
\u5b9a\u7406 66（\u8fdb\u5c55\u6027）\u3002 \u5047\u8bbe \u227a \u65e0\u73af\u3001\u6bcf\u4e2a 𝑛 \u7684 len(𝑒𝑛) \u2264 𝐾\u3001\u540d\u96c6\u5408 𝑁 \u6709\u9650；\u4e14\u6bcf\u6b65\u5e94\u7528\u4e00\u6761\u751f\u547d\u5468\u671f\u89c4\u5219\u3002\u8bb0 𝑆(𝑛) \u4e3a\u4f5c\u7528\u4e8e 𝑛 \u7684\u6b65\u6570，𝑉(𝑛) \u2254 |{𝑡 : target𝑡𝑛 \u2260 target𝑡+1𝑛}| \u4e3a\u5176\u76ee\u6807\u89c6\u56fe\u8f6c\u6298\u6b21\u6570\u3002\u5219：
\n1.（\u65e0\u6b7b\u9501）\u00ac quiet𝑡 \u8574\u542b\u67d0\u6761\u751f\u547d\u5468\u671f\u89c4\u5219\u5728 𝛾𝑡 \u53ef\u5e94\u7528；
\n2.（\u7ec8\u6b62\u6027）𝑆(𝑛) \u2264 (𝐾 + 4)(𝑉(𝑛) + 1)，\u4e14 𝑉(𝑛) \u4e0e \u2211𝑛 𝑆(𝑛) \u5747\u6709\u9650\u3002
\n\u7531\u6b64\u6bcf\u6761\u6781\u5927\u7684\u751f\u547d\u5468\u671f\u6b65\u9aa4\u5e8f\u5217\u7ec8\u6b62\u4e8e\u4e00\u4e2a\u9759\u6b62\u72b6\u6001\u3002<\/p>\n
𝑁 \u7684\u6709\u9650\u6027\u662f\u5047\u8bbe\u800c\u975e\u5bfc\u51fa，\u7ec4\u4ef6\u4e0a\u7684\u4e00\u4e2a\u6761\u4ef6\u4ea4\u4ed8\u5b83\u3002\u5bbf\u4e3b\u6301\u6709\u7684\u7ec4\u4ef6\u662f\u8fd0\u884c\u524d\u7ed9\u5b9a\u7684\u6709\u9650\u591a\u4e2a\u7a0b\u5e8f，\u6240\u4ee5\u82e5\u6ca1\u6709\u7ec4\u4ef6\u80fd（\u65e0\u8bba\u591a\u95f4\u63a5\u5730）\u6ce8\u518c\u4e00\u4e2a\u4f1a\u6ce8\u518c\u81ea\u8eab\u7684\u7ec4\u4ef6\u7684\u7ea4\u7ef4，\u5219\u6ce8\u518c\u5f62\u6210\u4e00\u68f5\u6709\u754c\u6df1\u5ea6\u7684\u6811，len(𝑒𝑛) \u2264 𝐾 \u7ea6\u675f\u5176\u5206\u652f\u5ea6\u3002\u8be5\u5047\u8bbe\u6392\u9664\u7684\u662f\u65e0\u754c\u5730\u6ce8\u518c\u81ea\u8eab\u5b9e\u4f8b\u7684\u7ec4\u4ef6\u3002<\/p>\n
\u8fdb\u5c55\u6027（progress）\u56de\u7b54\u4e24\u4e2a\u5173\u952e\u95ee\u9898：\u7cfb\u7edf\u4f1a\u4e0d\u4f1a\u5361\u6b7b（deadlock）？\u7cfb\u7edf\u4f1a\u4e0d\u4f1a\u65e0\u9650\u8fd0\u884c\u4e0d\u505c\u4e0b\u6765（nontermination）？ \u8fd9\u662f 4.3.1 \u64a4\u56de\u5b88\u536b\u80fd\u6210\u7acb\u7684\u524d\u63d0\u2014\u2014\u5b88\u536b"\u7b49\u4f9d\u8d56\u8005\u79bb\u5f00"\u5982\u679c\u6c38\u8fdc\u4e0d\u91ca\u653e，\u5c31\u6b7b\u9501\u4e86\u3002Theorem 66 \u8bc1\u660e：\u5728\u5408\u7406\u5047\u8bbe\u4e0b，\u65e2\u4e0d\u6b7b\u9501\u4e5f\u5fc5\u7ec8\u6b62，\u4e14\u6bcf\u6761\u6781\u5927\u6b65\u9aa4\u5e8f\u5217\u90fd\u6536\u655b\u5230\u9759\u6b62\u72b6\u6001\u3002<\/p>\n
\u5148\u5e8f\u5173\u7cfb \u227a \u662f\u8bba\u8bc1\u7684\u5de5\u5177\u3002 𝑛 \u227a 𝑚 \u5b9a\u4e49\u4e3a"𝑛 \u7684\u4f9b\u7ed9\u4e0e 𝑚 \u7684\u4f9d\u8d56\u6709\u4ea4\u96c6"\u2014\u2014\u5373 𝑛 \u53ef\u80fd\u662f 𝑚 \u7684\u63d0\u4f9b\u8005\u3002\u5b83\u53ea\u8bfb 𝑑 \u548c 𝑝，\u800c\u8fd9\u4e24\u4e2a\u5b57\u6bb5\u968f\u7ea4\u7ef4\u8bde\u751f\u5c31\u4e0d\u518d\u53d8（\u5f15\u740654(5)），\u6240\u4ee5 \u227a \u5728\u8fd0\u884c\u4e2d\u662f\u7a33\u5b9a\u7684\u3002\u8bba\u6587\u8bda\u5b9e\u5730\u6307\u51fa \u227a \u65e0\u73af\u662f\u4e00\u4e2a\u5047\u8bbe\u800c\u975e\u5b9a\u4e49\u4fdd\u8bc1\u7684：\u4e00\u4e2a\u58f0\u660e\u4e86\u81ea\u5df1\u63d0\u4f9b\u7684\u952e\u7684\u7ec4\u4ef6\u6ee1\u8db3 𝑛 \u227a 𝑛（\u81ea\u73af）\u3002\u227a \u6392\u5e8f\u7684\u662f"\u6fc0\u6d3b\u987a\u5e8f"（𝑛 \u8981\u5148 𝖠𝖼𝗍𝗂𝗏𝖾 \u624d\u80fd\u8f6e\u5230 𝑚），\u4e0d\u662f"\u5bff\u547d"（\u63d0\u4f9b\u8005\u6bd4\u6d88\u8d39\u8005\u957f\u5bff\u662f Theorem 63(2) \u7684\u7ed3\u8bba，\u662f\u5b88\u536b\u6362\u6765\u7684，\u4e0d\u662f \u227a \u7ed9\u7684）\u3002\u8fd9\u4e2a\u533a\u5206\u5f88\u91cd\u8981：\u8fdb\u5c55\u6027\u5047\u8bbe\u7684\u662f\u6fc0\u6d3b\u65e0\u73af，\u800c"\u63d0\u4f9b\u8005\u540e\u6b7b"\u662f\u5b9a\u7406\u8bc1\u660e\u7684\u3002<\/p>\n
\u65e0\u6b7b\u9501\u7684\u8bc1\u660e\u6897\u6982\u3002 \u8bbe \u00ac quiet𝑡，\u5219\u6709\u67d0\u7ea4\u7ef4\u6ca1\u5bf9\u9f50\u76ee\u6807\u3002\u6309 𝜃𝑛 \u7684\u56db\u79cd\u53ef\u80fd\u9010\u4e00\u67e5\u8868：𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u22a5) \u4e14 target\u2260\u22a5 \u2192 L-Begin \u53ef\u7528；𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u4e14 target=𝜔 \u2192 L-Iter\/L-Finish\/L-Raise \u4e4b\u4e00\u53ef\u7528；𝖱𝖾𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u4e14 target\u2260𝜔 \u2192 L-Raise（\u82e5\u629b\u9519）\u6216 L-Divert（\u843d\u5730\u5f0f，\u60ef\u6027\u5bbf\u4e3b\u4e5f\u53ef\u7528）；𝖠𝖼𝗍𝗂𝗏𝖾 \u4e14 target\u2260𝜔 \u2192 L-Leave \u53ef\u7528\u3002\u82e5\u6ca1\u6709\u4efb\u4f55\u7ea4\u7ef4\u5904\u4e8e\u8fd9\u56db\u79cd，\u5219\u5fc5\u6709\u67d0 𝑚0 \u5904\u4e8e 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u3002\u5173\u952e\u7684\u53cd\u6b7b\u9501\u8bba\u8bc1\u4ece\u8fd9\u91cc\u5f00\u59cb：\u82e5 \u00ac relied𝑚0，\u5219 L-Unload \u53ef\u7528，\u505c\u3002\u5426\u5219\u5b58\u5728 𝑚1 \u2260 𝑚0 \u628a\u67d0\u952e\u89e3\u6790\u5230 𝑚0，\u7531 Theorem 63(3) \u8be5\u952e \u2208 𝑝𝑚0 \u2229 𝑑𝑚1，\u5373 𝑚0 \u227a 𝑚1；\u4e14 𝑚0 \u662f 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀（\u4e0d\u5728 𝜎𝛾 \u4e2d），\u6545 𝑚1 \u7684 target \u5df2\u4e0d\u6307\u5411 𝑚0，𝑚1 \u4e5f\u5fc5\u5904\u4e8e 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀\u3002\u4e8e\u662f\u6784\u9020\u4e00\u6761 𝑚0 \u227a 𝑚1 \u227a 𝑚2 \u227a \u2026 \u7684\u94fe，\u6bcf\u6b65\u4e25\u683c \u227a \u9012\u589e\u3002\u7531 \u227a \u65e0\u73af，\u94fe\u4e2d\u6240\u6709\u540d\u4e92\u4e0d\u76f8\u540c；\u7531 dom(𝐹𝑡) \u6709\u9650，\u94fe\u5fc5\u7ec8\u6b62\u2014\u2014\u7ec8\u6b62\u5904\u5373 \u00ac relied，L-Unload \u53ef\u7528\u3002\u8fd9\u5c31\u662f 4.3.1 \u6240\u8bf4\u7684"\u5b88\u536b\u603b\u4f1a\u91ca\u653e"\u7684\u5f62\u5f0f\u5316：\u6cbf\u7740\u4f9d\u8d56\u56fe\u5f80\u4e0a\u627e，\u65e0\u73af + \u6709\u9650\u4fdd\u8bc1\u80fd\u627e\u5230\u4e00\u4e2a\u65e0\u4eba\u4f9d\u8d56\u7684 𝖴𝗇𝗅𝗈𝖺𝖽𝗂𝗇𝗀 \u7ea4\u7ef4，\u89e3\u9501\u6574\u6761\u94fe\u3002<\/p>\n
\u7ec8\u6b62\u6027\u7684\u8bc1\u660e\u6897\u6982\u3002 \u4e24\u4e2a\u65ad\u8a00\u754c\u4f4f 𝑆(𝑛)\u3002(A) \u5728 target𝑛 \u6052\u4e3a 𝜔\u2217 \u7684\u6781\u5927\u533a\u95f4\u5185，\u4f5c\u7528\u4e8e 𝑛 \u7684\u6b65\u6570\u81f3\u591a 𝐾+4：\u4ece 𝖠𝖼𝗍𝗂𝗏𝖾(\u2212,𝜔\u2260𝜔\u2217) \u8d70 L-Leave+L-Unload，\u82e5 𝜔\u2217\u2260\u22a5 \u518d L-Begin+\u81f3\u591a 𝐾 \u6b21\u843d\u5730+\u53ef\u80fd\u4e00\u6b21\u989d\u5916 L-Unload（\u82e5\u672b\u6b21\u843d\u5730\u662f L-Raise）；\u5176\u4ed6\u72b6\u6001\u662f\u5176\u540e\u7f00\u3002(B) \u82e5 target𝑛 \u5728\u7b2c 𝑡 \u6b65\u8f6c\u6298\u4e14\u8be5\u6b65\u4f5c\u7528\u4e8e 𝑚，\u5219\u8981\u4e48 𝑚 \u227a 𝑛（𝑚 \u662f 𝑛 \u67d0\u4f9d\u8d56\u7684\u63d0\u4f9b\u8005），\u8981\u4e48\u8be5\u6b65\u5199 𝜏𝑛\u2014\u2014\u56e0\u4e3a target \u53ea\u4f9d\u8d56 𝜏𝑛 \u4e0e\u5404\u63d0\u4f9b\u8005\u7684\u8868，\u8868\u53ea\u5728\u81ea\u8eab\u7ea4\u7ef4\u88ab\u4f5c\u7528\u65f6\u53d8\u3002\u7531\u65e0\u73af 𝑚\u2260𝑛（\u7b2c\u4e00\u79cd），\u7531 𝜏 \u5355\u8c03\u7b2c\u4e8c\u79cd\u6bcf\u7ea4\u7ef4\u81f3\u591a\u4e00\u6b21\u3002\u7efc\u5408 (A)(B)：𝑆(𝑛) \u2264 (𝐾+4)(𝑉(𝑛)+1)，\u4e14 𝑉(𝑛) \u2264 1 + \u2211𝑚\u227a𝑛 𝑆(𝑚)\u3002\u8fd9\u662f\u4e00\u4e2a\u6cbf\u65e0\u73af \u227a \u7684\u826f\u57fa\u9012\u5f52，\u5b9a\u4e49 𝐵(𝑛) = (𝐾+4)(2 + \u2211𝑚\u227a𝑛 𝐵(𝑚)) \u754c\u4f4f 𝑆(𝑛)，\u6545 𝑉(𝑛) \u4e0e \u2211𝑛 𝑆(𝑛) \u90fd\u6709\u9650\u3002\u7ed3\u5408\u65e0\u6b7b\u9501，\u6bcf\u6761\u4e0d\u53ef\u6269\u5c55\u7684\u5e8f\u5217\u5fc5\u9759\u6b62\u3002<\/p>\n
\u8fdb\u5c55\u6027\u7684\u5de5\u7a0b\u542b\u4e49\u3002 \u8fd9\u662f\u6574\u4e2a\u52a8\u6001\u7ec4\u5408\u7cfb\u7edf\u7684"\u6d3b\u6027"（liveness）\u4fdd\u8bc1：\u7cfb\u7edf\u4e0d\u4f1a\u56e0\u4e3a\u590d\u6742\u7684\u4f9d\u8d56\u5173\u7cfb\u800c\u5361\u6b7b，\u4e5f\u4e0d\u4f1a\u56e0\u4e3a\u53cd\u590d\u91cd\u8f7d\u800c\u65e0\u9650\u9707\u8361\u3002𝑉(𝑛) \u6709\u9650\u610f\u5473\u7740\u6bcf\u4e2a\u7ea4\u7ef4\u7684\u76ee\u6807\u89c6\u56fe\u53ea\u4f1a\u8f6c\u6298\u6709\u9650\u6b21\u2014\u2014\u8fd9\u80cc\u540e\u662f 𝜏 \u5355\u8c03（\u6bcf\u4e2a\u7ea4\u7ef4\u81f3\u591a\u88ab\u9000\u5f79\u4e00\u6b21）\u548c \u227a \u65e0\u73af（\u4f9d\u8d56\u63d0\u4f9b\u8005\u7684\u8f6c\u6298\u6b21\u6570\u88ab\u63d0\u4f9b\u8005\u7684\u6b65\u6570\u754c\u4f4f）\u3002\u7ec8\u6b62\u6027\u8bf4\u7cfb\u7edf\u6700\u7ec8\u4f1a"\u5b89\u9759\u4e0b\u6765"\u8fbe\u5230\u9759\u6b62\u72b6\u6001\u3002\u8fd9\u4e0e Cordis\/DSH \u7684\u5b9e\u8df5\u5bf9\u5e94：\u88c5\u8f7d\/\u5378\u8f7d\u4e00\u5806\u76f8\u4e92\u4f9d\u8d56\u7684\u7ec4\u4ef6\u540e，\u7cfb\u7edf\u4e00\u5b9a\u4f1a\u7a33\u5b9a\u5230\u4e00\u4e2a\u4e00\u81f4\u72b6\u6001，\u4e0d\u4f1a\u6c38\u8fdc\u5728"\u88c5\u8f7d-\u5378\u8f7d"\u9707\u8361\u6216\u6b7b\u9501\u7b49\u5f85\u3002\u65e0\u73af\u5047\u8bbe\u6392\u9664"\u5faa\u73af\u4f9d\u8d56"（A \u4f9d\u8d56 B\u3001B \u53c8\u4f9d\u8d56 A）\u2014\u2014\u8fd9\u662f\u4f9d\u8d56\u6ce8\u5165\u7cfb\u7edf\u7684\u6807\u51c6\u8981\u6c42；\u6709\u9650\u6027\u5047\u8bbe\u6392\u9664"\u7ec4\u4ef6\u65e0\u9650\u81ea\u6211\u7e41\u6b96"\u2014\u2014\u4e00\u4e2a\u4f1a\u65e0\u9650\u5236\u6ce8\u518c\u81ea\u8eab\u5b9e\u4f8b\u7684\u7ec4\u4ef6\u4f1a\u8ba9 𝑁 \u65e0\u9650\u589e\u957f\u3002<\/p>\n
\u60ef\u6027\u7684\u517c\u5bb9\u6027\u3002 \u8bba\u6587\u7279\u522b\u6307\u51fa\u8fdb\u5c55\u6027\u53ea\u8981\u6c42\u5bbf\u4e3b\u63d0\u4f9b L-Begin\/L-Leave\/L-Unload\/L-Iter\/L-Finish\/L-Raise\/L-Divert，\u4ece\u4e0d\u8981\u6c42 L-Divert \u7684\u653e\u5f03\u5206\u652f\u2014\u2014\u6240\u4ee5\u53d7 4.3.3 \u60ef\u6027\u7ea6\u675f（\u4e0d\u80fd\u653e\u5f03\u98de\u884c\u4e2d\u8fed\u4ee3）\u7684\u5f02\u6b65\u5bbf\u4e3b\u4e5f\u5b8c\u5168\u5728\u8fdb\u5c55\u6027\u4fdd\u8bc1\u4e4b\u5185\u3002\u8fd9\u662f\u4e00\u4e2a\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u8986\u76d6：\u5f02\u6b65\u73b0\u5b9e\u8fd0\u884c\u65f6\u4e5f\u80fd\u5f97\u5230\u6d3b\u6027\u4fdd\u8bc1\u3002<\/p>\n
The results so far are about individual fibers. The property that characterizes the system as a whole is that its dynamic history leaves no trace: whatever sequence of activations and deactivations a running system has been through, the state it quiesces at is the one the same insertions and retirements would have produced had each component that ends up active been loaded once, in dependency order, and none ever unloaded. The lifecycle relation is confluent, and the normal form it converges on is the statically assembled one. This is the analogue, for dynamic composition, of the consistency with a from-scratch evaluation that change propagation establishes for incremental computation [45].<\/p>\n
Definition 67. A fiber is supported at 𝛾 when it is not retired, the fiber registering it is supported, and every key it declares is provided by a supported fiber. The support relation is the union 𝑚 \u22b2 𝑛 \u2254 𝑚 \u227a 𝑛 \u2228 𝜋𝑛 = 𝑚, and where well founded we write 𝐴 for the support set: 𝑛 \u2208 𝐴 \u2254 \u00ac𝜏𝑛 \u2227 (𝜋𝑛 = 𝗋𝗈𝗈𝗍 \u2228 𝜋𝑛 \u2208 𝐴) \u2227 \u2200𝑘 \u2208 𝑑𝑛. \u2203𝑚 \u2208 𝐴. 𝑘 \u2208 𝑝𝑚.<\/p>\n
Lemma 68 (Support is well founded). Let \u227a be acyclic and let 𝛾 be reached by a sequence of steps. Then \u22b2 is well founded, and 𝐴 is the one solution of Definition 67, a function of 𝜏, 𝜋, 𝑑, and 𝑝 alone.<\/p>\n
Definition 69. A component (𝑑, 𝑝, 𝑒) is total on its provision when an activation of it that finishes has installed every key of 𝑝, so that dom(𝜎𝑛) = 𝑝𝑛 at every 𝖠𝖼𝗍𝗂𝗏𝖾 fiber instantiating it.<\/p>\n
Lemma 70 (Support at quiescence). Let \u227a be acyclic, let quiet(𝛾), let no fiber of 𝛾 be failed, and let every component be total on its provision. Then the support set is the set of 𝖠𝖼𝗍𝗂𝗏𝖾 fibers: 𝐴 = {𝑛 : 𝜃𝑛 = 𝖠𝖼𝗍𝗂𝗏𝖾(\u2212, \u2212)}.<\/p>\n
Lemma 71 (Transposition). Let the steps be pairwise independent and 𝐹𝑡 well formed, and let steps 𝑡 and 𝑡+1 act on distinct fibers 𝑚 and 𝑛. (1) If both apply an activation rule (L-Begin, L-Iter, or L-Finish), and step 𝑡+1 is applicable at 𝛾𝑡, then step 𝑡 is applicable at the state step 𝑡+1 produces, and the two orders reach the same 𝛾𝑡+2. (2) If step 𝑡 applies an activation rule at 𝑚, step 𝑡+1 an orchestration rule at 𝑛, and step 𝑡 does not register 𝑛, then the same holds.<\/p>\n
Lemma 72 (Deletion). Let the sequence be pairwise independent, every component total on its provision, let it reach a quiescent 𝛾𝑇 at which no fiber is failed, let [𝑏, 𝑢] be a closing episode of 𝑛, let no episode of any 𝑚 with 𝑛 \u227a 𝑚 close, and let no fiber 𝑛 registers during [𝑏, 𝑢] have an episode. Write 𝑅 for those registration names. Then deleting the steps acting on 𝑛 in [𝑏, 𝑢], together with every step acting on a name of 𝑅, leaves a sequence reaching a state \u2248-equal to 𝛾𝑇 and \u2243-equal to it outside 𝑅.<\/p>\n
Theorem 73 (Confluence). Let a sequence reach a quiescent 𝛾𝑇 at which no fiber is failed, let the steps be pairwise independent and every component total on its provision, and let 𝐴 be as in Definition 67. Then:<\/p>\n
Failure is excluded from the statement because it is a genuine source of divergence, and the calculus should not be read as denying it. They do not differ in anything else, by Corollary 62, which puts a failed fiber\u2019s contribution to the state at nothing.<\/p>\n
The theorem is what licenses reasoning about a Cordis application as though it were statically assembled. An orchestrator that adds a component, removes it, replaces a provider, and reverts the replacement is guaranteed to arrive at the state it would have obtained by writing the final composition down at the outset.<\/p>\n
\u5230\u6b64\u4e3a\u6b62\u7684\u7ed3\u679c\u90fd\u662f\u5173\u4e8e\u5355\u4e2a\u7ea4\u7ef4\u7684\u3002\u523b\u753b\u6574\u4e2a\u7cfb\u7edf\u7684\u6027\u8d28\u662f：\u5176\u52a8\u6001\u5386\u53f2\u4e0d\u7559\u75d5\u8ff9\u2014\u2014\u65e0\u8bba\u4e00\u4e2a\u8fd0\u884c\u4e2d\u7684\u7cfb\u7edf\u7ecf\u5386\u8fc7\u600e\u6837\u7684\u6fc0\u6d3b\u4e0e\u53bb\u6fc0\u6d3b\u5e8f\u5217，\u5b83\u9759\u6b62\u4e8e\u7684\u72b6\u6001，\u90fd\u662f"\u76f8\u540c\u7684\u63d2\u5165\u4e0e\u9000\u5f79\u3001\u6309\u4f9d\u8d56\u987a\u5e8f\u5404\u88c5\u8f7d\u4e00\u6b21\u6700\u7ec8\u6fc0\u6d3b\u7684\u7ec4\u4ef6\u3001\u4e14\u4ece\u4e0d\u5378\u8f7d\u4efb\u4f55\u4e00\u4e2a"\u672c\u4f1a\u4ea7\u751f\u7684\u90a3\u4e00\u4e2a\u3002\u751f\u547d\u5468\u671f\u5173\u7cfb\u662f\u6c47\u5408\u7684（confluent），\u5b83\u6536\u655b\u5230\u7684\u6b63\u89c4\u5f62\u5f0f\u662f\u9759\u6001\u88c5\u914d\u7684\u90a3\u4e2a\u3002\u8fd9\u662f\u52a8\u6001\u7ec4\u5408\u7c7b\u6bd4\u4e8e\u589e\u91cf\u8ba1\u7b97\u4e2d\u53d8\u66f4\u4f20\u64ad\u6240\u5efa\u7acb\u7684"\u4e0e\u4ece\u5934\u6c42\u503c\u4e00\u81f4"\u7684\u6027\u8d28[45]\u3002<\/p>\n
\u5b9a\u4e49 67\u3002 \u4e00\u4e2a\u7ea4\u7ef4\u5728 𝛾 \u5904\u53d7\u652f\u6301（supported），\u5f53\u5b83\u672a\u88ab\u9000\u5f79\u3001\u6ce8\u518c\u5b83\u7684\u7ea4\u7ef4\u53d7\u652f\u6301\u3001\u4e14\u5b83\u58f0\u660e\u7684\u6bcf\u4e2a\u952e\u90fd\u7531\u67d0\u53d7\u652f\u6301\u7ea4\u7ef4\u63d0\u4f9b\u3002\u652f\u6301\u5173\u7cfb\u662f 𝑚 \u22b2 𝑛 \u2254 𝑚 \u227a 𝑛 \u2228 𝜋𝑛 = 𝑚 \u7684\u5e76，\u5728\u826f\u57fa\u5904\u8bb0 𝐴 \u4e3a\u652f\u6301\u96c6：𝑛 \u2208 𝐴 \u2254 \u00ac𝜏𝑛 \u2227 (𝜋𝑛 = 𝗋𝗈𝗈𝗍 \u2228 𝜋𝑛 \u2208 𝐴) \u2227 \u2200𝑘 \u2208 𝑑𝑛. \u2203𝑚 \u2208 𝐴. 𝑘 \u2208 𝑝𝑚\u3002<\/p>\n
\u5f15\u7406 68（\u652f\u6301\u826f\u57fa）\u3002 \u4ee4 \u227a \u65e0\u73af\u4e14 𝛾 \u7531\u6b65\u9aa4\u5e8f\u5217\u8fbe\u5230\u3002\u5219 \u22b2 \u826f\u57fa，\u4e14 𝐴 \u662f\u5b9a\u4e4967\u7684\u552f\u4e00\u89e3，\u4ec5\u662f 𝜏, 𝜋, 𝑑, 𝑝 \u7684\u51fd\u6570\u3002<\/p>\n
\u5b9a\u4e49 69\u3002 \u4e00\u4e2a\u7ec4\u4ef6 (𝑑, 𝑝, 𝑒) \u5728\u5176\u4f9b\u7ed9\u4e0a\u5b8c\u5168（total on its provision），\u5f53\u5b83\u7684\u4e00\u6b21\u5b8c\u6210\u7684\u6fc0\u6d3b\u5df2\u5b89\u88c5 𝑝 \u7684\u6bcf\u4e2a\u952e，\u6545\u6bcf\u4e2a\u5b9e\u4f8b\u5316\u5b83\u7684 𝖠𝖼𝗍𝗂𝗏𝖾 \u7ea4\u7ef4\u5904 dom(𝜎𝑛) = 𝑝𝑛\u3002<\/p>\n
\u5f15\u7406 70（\u9759\u6b62\u5904\u7684\u652f\u6301）\u3002 \u4ee4 \u227a \u65e0\u73af\u3001quiet(𝛾)\u3001\u65e0\u5931\u8d25\u7ea4\u7ef4\u3001\u6bcf\u4e2a\u7ec4\u4ef6\u5728\u5176\u4f9b\u7ed9\u4e0a\u5b8c\u5168\u3002\u5219\u652f\u6301\u96c6\u5c31\u662f 𝖠𝖼𝗍𝗂𝗏𝖾 \u7ea4\u7ef4\u96c6：𝐴 = {𝑛 : 𝜃𝑛 = 𝖠𝖼𝗍𝗂𝗏𝖾(\u2212, \u2212)}\u3002<\/p>\n
\u5f15\u7406 71（\u6362\u4f4d）\u3002 \u4ee4\u6b65\u9aa4\u4e24\u4e24\u72ec\u7acb\u4e14 𝐹𝑡 \u826f\u6784，\u6b65\u9aa4 𝑡 \u4e0e 𝑡+1 \u4f5c\u7528\u4e8e\u4e0d\u540c\u7ea4\u7ef4 𝑚 \u4e0e 𝑛\u3002(1) \u82e5\u4e24\u8005\u90fd\u5e94\u7528\u6fc0\u6d3b\u89c4\u5219，\u4e14\u6b65\u9aa4 𝑡+1 \u5728 𝛾𝑡 \u53ef\u5e94\u7528，\u5219\u6b65\u9aa4 𝑡 \u5728\u6b65\u9aa4 𝑡+1 \u4ea7\u751f\u7684\u72b6\u6001\u4e0a\u53ef\u5e94\u7528，\u4e24\u79cd\u987a\u5e8f\u8fbe\u5230\u540c\u4e00 𝛾𝑡+2\u3002(2) \u82e5\u6b65\u9aa4 𝑡 \u5728 𝑚 \u5e94\u7528\u6fc0\u6d3b\u89c4\u5219\u3001\u6b65\u9aa4 𝑡+1 \u5728 𝑛 \u5e94\u7528\u7f16\u6392\u89c4\u5219\u3001\u4e14\u6b65\u9aa4 𝑡 \u4e0d\u6ce8\u518c 𝑛，\u5219\u540c\u7406\u3002<\/p>\n
\u5f15\u7406 72（\u5220\u9664）\u3002 \u4ee4\u5e8f\u5217\u4e24\u4e24\u72ec\u7acb\u3001\u6bcf\u7ec4\u4ef6\u5728\u5176\u4f9b\u7ed9\u4e0a\u5b8c\u5168\u3001\u8fbe\u5230\u65e0\u5931\u8d25\u7ea4\u7ef4\u7684\u9759\u6b62 𝛾𝑇，\u4ee4 [𝑏, 𝑢] \u4e3a 𝑛 \u7684\u5173\u95ed\u5e55\u3001\u65e0 𝑛 \u227a 𝑚 \u7684 𝑚 \u7684\u5e55\u5173\u95ed\u3001\u4e14 𝑛 \u5728 [𝑏, 𝑢] \u671f\u95f4\u6ce8\u518c\u7684\u7ea4\u7ef4\u65e0\u5e55\u3002\u8bb0\u8fd9\u4e9b\u6ce8\u518c\u540d\u4e3a 𝑅\u3002\u5219\u5220\u9664 [𝑏, 𝑢] \u4e2d\u4f5c\u7528\u4e8e 𝑛 \u7684\u6b65\u9aa4\u53ca\u6bcf\u4e2a\u4f5c\u7528\u4e8e 𝑅 \u4e2d\u540d\u7684\u6b65\u9aa4，\u7559\u4e0b\u4e00\u4e2a\u8fbe\u5230\u4e0e 𝛾𝑇 \u2248 \u76f8\u7b49\u3001\u4e14\u5728 𝑅 \u4e4b\u5916 \u2243 \u76f8\u7b49\u7684\u72b6\u6001\u7684\u5e8f\u5217\u3002<\/p>\n
\u5b9a\u7406 73（\u6c47\u5408\u6027）\u3002 \u4ee4\u67d0\u5e8f\u5217\u8fbe\u5230\u65e0\u5931\u8d25\u7ea4\u7ef4\u7684\u9759\u6b62 𝛾𝑇，\u6b65\u9aa4\u4e24\u4e24\u72ec\u7acb\u3001\u6bcf\u7ec4\u4ef6\u5728\u5176\u4f9b\u7ed9\u4e0a\u5b8c\u5168，𝐴 \u5982\u5b9a\u4e4967\u3002\u5219：
\n1.（\u6b63\u89c4\u5f62\u5f0f）𝛾𝑇 \u53ef（\u5728\u88ab\u5f52\u7ea6\u64a4\u56de\u7684\u540d\u4ee5\u5916）\u7531 𝛾0 \u7ecf\u4e00\u4e2a\u5e8f\u5217\u8fbe\u5230：\u8be5\u5e8f\u5217\u4ee5\u539f\u5e8f\u53d6\u76f8\u540c\u7684\u7f16\u6392\u6b65\u9aa4（\u7f16\u6392\u8005\u63d2\u5165\u7684\u7ea4\u7ef4\u5904\u7684\u6b65\u9aa4\u5148\u4e8e\u6bcf\u4e2a\u751f\u547d\u5468\u671f\u6b65\u9aa4，\u5176\u4f59\u5404\u8ddf\u968f\u6ce8\u518c\u5b83\u6240\u4f5c\u7528\u7ea4\u7ef4\u7684\u90a3\u6b65），\u5e76\u6309 \u22b2 \u7684\u4e00\u4e2a\u7ebf\u6027\u5316\u679a\u4e3e 𝑛1,\u2026,𝑛𝑘，\u4f9d\u6b21\u5404\u53d6 𝑛𝑖 \u7684\u4e00\u5e55\u3002
\n2.（\u6c47\u5408）\u4ece 𝛾0 \u53d6\u76f8\u540c\u7f16\u6392\u6b65\u9aa4\u7684\u4efb\u610f\u4e24\u4e2a\u8fd9\u6837\u7684\u5e8f\u5217，\u8fbe\u5230\u7684\u72b6\u6001\u7ecf\u5f15\u740656\u7684\u91cd\u547d\u540d\u540e\u7531 \u2243 \u4e0e \u2248 \u5173\u8054\u3002<\/p>\n
\u5931\u8d25\u88ab\u6392\u9664\u5728\u9648\u8ff0\u4e4b\u5916，\u56e0\u4e3a\u5b83\u662f\u771f\u6b63\u7684\u53d1\u6563\u4e4b\u6e90，\u6f14\u7b97\u4e0d\u5e94\u88ab\u8bfb\u4f5c\u5426\u8ba4\u5b83\u3002\u7531\u63a8\u8bba62\u5b83\u4eec\u5728\u5176\u4f59\u4efb\u4f55\u65b9\u9762\u90fd\u4e0d\u5f02，\u5931\u8d25\u7ea4\u7ef4\u5bf9\u72b6\u6001\u7684\u8d21\u732e\u4e3a\u96f6\u3002<\/p>\n
\u8be5\u5b9a\u7406\u6b63\u662f\u5141\u8bb8\u628a Cordis \u5e94\u7528\u5f53\u4f5c\u9759\u6001\u88c5\u914d\u6765\u63a8\u7406\u7684\u4f9d\u636e\u3002\u4e00\u4e2a\u6dfb\u52a0\u7ec4\u4ef6\u3001\u79fb\u9664\u5b83\u3001\u66ff\u6362\u63d0\u4f9b\u8005\u3001\u518d\u56de\u9000\u66ff\u6362\u7684\u7f16\u6392\u8005，\u4fdd\u8bc1\u5230\u8fbe"\u4e00\u5f00\u59cb\u5c31\u628a\u6700\u7ec8\u7ec4\u5408\u5199\u4e0b\u6765"\u672c\u4f1a\u5f97\u5230\u7684\u72b6\u6001\u3002<\/p>\n
\u6c47\u5408\u6027（confluence）\u662f\u6574\u7ae0\u3001\u4e5f\u662f\u6574\u7bc7\u8bba\u6587\u6700\u5b8f\u5927\u7684\u7ed3\u8bba：\u65e0\u8bba\u7cfb\u7edf\u7ecf\u5386\u8fc7\u600e\u6837\u66f2\u6298\u7684\u52a8\u6001\u88c5\u5378\u8f7d\u5386\u53f2，\u5b83\u6700\u7ec8\u9759\u6b62\u7684\u72b6\u6001，\u90fd\u7b49\u540c\u4e8e"\u628a\u6700\u7ec8\u8be5\u6fc0\u6d3b\u7684\u7ec4\u4ef6\u6309\u4f9d\u8d56\u987a\u5e8f\u4e00\u6b21\u6027\u88c5\u8f7d\u3001\u4ece\u4e0d\u5378\u8f7d"\u7684\u9759\u6001\u88c5\u914d\u7ed3\u679c\u3002 \u8bba\u6587\u628a\u5b83\u7c7b\u6bd4\u4e3a\u589e\u91cf\u8ba1\u7b97\u91cc\u53d8\u66f4\u4f20\u64ad\u5efa\u7acb\u7684"\u4e0e\u4ece\u5934\u6c42\u503c\u4e00\u81f4"\u6027\u8d28[45]\u2014\u2014\u52a8\u6001\u7ec4\u5408\u4e0e\u9759\u6001\u7ec4\u5408\u5728\u7ed3\u679c\u4e0a\u4e0d\u53ef\u533a\u5206\u3002\u8fd9\u662f"\u65f6\u7a7a\u53ef\u7ec4\u5408\u6027"\u4e2d"\u7a7a\u95f4"\u7ef4\u5ea6\u7684\u7ec8\u6781\u4fdd\u8bc1：\u52a8\u6001\u5386\u53f2\u4e0d\u7559\u75d5\u8ff9\u3002<\/p>\n
\u652f\u6301\u96c6 𝐴 \u662f"\u54ea\u4e9b\u7ea4\u7ef4\u6700\u7ec8\u8be5\u6fc0\u6d3b"\u7684\u7eaf\u8f93\u5165\u51fd\u6570\u3002 \u5b9a\u4e4967\u9012\u5f52\u5730\u5b9a\u4e49"\u53d7\u652f\u6301"：\u672a\u88ab\u9000\u5f79\u3001\u6ce8\u518c\u8005\u53d7\u652f\u6301（\u6216\u6839\u63d2\u5165）\u3001\u6bcf\u4e2a\u58f0\u660e\u7684\u952e\u90fd\u7531\u67d0\u53d7\u652f\u6301\u7ea4\u7ef4\u63d0\u4f9b\u3002\u8fd9\u4e2a\u5b9a\u4e49\u53ea\u8bfb 𝜏\/𝜋\/𝑑\/𝑝 \u56db\u4e2a\u5b57\u6bb5\u2014\u2014\u5168\u662f\u8fd0\u884c\u4e2d\u4e0d\u53d8\u7684\u5b57\u6bb5（\u5f15\u740654(5)），\u6240\u4ee5 𝐴 \u5b8c\u5168\u7531\u8f93\u5165（\u7f16\u6392\u8005\u7684\u63d2\u5165\u4e0e\u9000\u5f79\u3001\u7ec4\u4ef6\u7684\u58f0\u660e）\u51b3\u5b9a，\u4e0e\u8c03\u5ea6\u987a\u5e8f\u65e0\u5173\u3002Lemma 68 \u8bc1\u660e\u8fd9\u4e2a\u9012\u5f52\u826f\u57fa\u4e14\u6709\u552f\u4e00\u89e3：\u6309\u6ce8\u518c\u987a\u5e8f\u7ed9\u7ea4\u7ef4\u7f16\u53f7，\u7236\u6307\u9488\u603b\u662f\u6307\u5411\u66f4\u65e9\u6ce8\u518c\u7684\u7ea4\u7ef4（O-Insert \u524d\u63d0），\u6240\u4ee5 \u22b2 \u7684\u7236\u534a\u90e8\u5929\u7136\u4e0b\u964d；\u82e5\u6210\u73af\u5fc5\u6df7\u7528 \u227a \u534a\u90e8，\u800c\u65e0\u73af \u227a \u8feb\u4f7f\u73af\u9700\u7ecf"\u67d0\u7ea4\u7ef4\u58f0\u660e\u5176\u81ea\u5df1\u5b50\u6811\u63d0\u4f9b\u7684\u952e"，\u4f46\u8be5\u952e\u5728 𝑚 \u7684 L-Begin \u524d\u5c31\u5df2\u88ab 𝖠𝖼𝗍𝗂𝗏𝖾 \u7ea4\u7ef4\u63d0\u4f9b（L-Begin \u524d\u63d0 𝛾\u22a7𝑑𝑚），\u5355\u4e00\u6765\u6e90\u7981\u6b62\u7b2c\u4e8c\u4e2a\u63d0\u4f9b\u8005，\u6545\u8be5\u7ea4\u7ef4\u6c38\u4e0d\u88ab\u6ce8\u518c\u2014\u2014\u73af\u4e0d\u5b58\u5728\u3002<\/p>\n
\u5b8c\u5168\u6027（totality，\u5b9a\u4e4969）\u8865\u4e0a"\u58f0\u660e 𝑝"\u4e0e"\u5b9e\u9645\u5b89\u88c5 dom(𝜎)"\u7684\u7f1d\u3002 \u652f\u6301\u96c6\u8bfb 𝑝（\u7ec4\u4ef6\u53ef\u80fd\u63d0\u4f9b\u7684\u952e），\u800c target \u8bfb dom(𝜎𝛾)（\u5b9e\u9645\u5b89\u88c5\u7684\u952e），\u4e8c\u8005\u53ea\u7531 dom(𝜎𝑛) \u2286 𝑝𝑛 \u8054\u7cfb\u3002\u5b8c\u5168\u6027\u8981\u6c42"\u5b8c\u6210\u7684\u6fc0\u6d3b\u5fc5\u5b89\u88c5 𝑝 \u7684\u5168\u90e8\u952e"，\u4e8e\u662f dom(𝜎𝑛) = 𝑝𝑛，\u7f1d\u88ab\u8865\u4e0a\u3002Lemma 70 \u8bc1\u660e\u5728\u9759\u6b62\u3001\u65e0\u5931\u8d25\u3001\u5b8c\u5168\u6027\u4e0b，\u652f\u6301\u96c6\u6070\u7b49\u4e8e 𝖠𝖼𝗍𝗂𝗏𝖾 \u7ea4\u7ef4\u96c6\u2014\u2014\u5373"\u8be5\u6fc0\u6d3b\u7684\u90fd\u6fc0\u6d3b\u4e86"\u3002\u5b8c\u5168\u6027\u867d\u662f\u5047\u8bbe，\u4f46\u72ec\u7acb\u6027\u5df2\u754c\u4f4f\u5b83\u80fd\u5931\u8d25\u7684\u7a0b\u5ea6：\u82e5\u4e00\u7ec4\u4ef6\u53ea\u5728\u522b\u7684\u7ec4\u4ef6\u6548\u5e94\u5230\u8fbe\u7684\u72b6\u6001\u624d\u88c5\u67d0\u952e，\u5176\u524d\u5411\u6620\u5c04\u5c31\u4e0d\u4e0e\u90a3\u7ec4\u4ef6\u4ea4\u6362，\u8fdd\u53cd\u72ec\u7acb\u6027\u2014\u2014\u6240\u4ee5"\u88c5\u54ea\u4e9b\u952e"\u7531\u7ec4\u4ef6\u672c\u8eab\u800c\u975e\u8c03\u5ea6\u51b3\u5b9a，\u5b8c\u5168\u6027\u53ea\u662f\u8981\u6c42\u8fd9\u4e2a\u56fa\u5b9a\u96c6\u5408\u662f\u5168\u90e8 𝑝\u3002<\/p>\n
\u4e09\u4e2a\u5f15\u7406\u662f\u6c47\u5408\u6027\u8bc1\u660e\u7684"\u91cd\u6392\u5de5\u5177"\u3002 Lemma 71（\u6362\u4f4d）\u662f trace \u7406\u8bba\u7684\u91cd\u6392\u5f15\u7406：\u4f5c\u7528\u4e8e\u4e0d\u540c\u7ea4\u7ef4\u7684\u4e24\u4e2a\u76f8\u90bb\u6b65\u9aa4，\u5728\u72ec\u7acb\u6027\u4e0b\u53ef\u4ea4\u6362\u4e14\u8fbe\u5230\u540c\u6001\u3002\u5b83\u5206\u6fc0\u6d3b-\u6fc0\u6d3b\u3001\u6fc0\u6d3b-\u7f16\u6392\u4e24\u79cd\u60c5\u5f62，\u5173\u952e\u90fd\u7528\u5b9a\u4e4960\u7684\u4e24\u6761\u4ef6（\u6620\u5c04\u4ea4\u6362 + \u8fed\u4ee3\u5668\u5728\u88ab\u79fb\u52a8\u72b6\u6001\u4e0a\u4ea7\u51fa\u4e0d\u53d8）\u548c\u4f9b\u7ed9\u4e0d\u76f8\u4ea4（\u5b9a\u4e4958(2)，\u4f7f\u4e00\u7ea4\u7ef4\u7684\u8868\u5199\u5165\u4e0d\u89e6\u53ca\u53e6\u4e00\u7ea4\u7ef4\u7684\u4f9d\u8d56\u952e）\u3002Lemma 72（\u5220\u9664）\u662f"\u52a8\u6001\u5386\u53f2\u4e0d\u7559\u75d5\u8ff9"\u7684\u6838\u5fc3：\u4e00\u4e2a\u5173\u95ed\u7684 episode（\u8fde\u540c\u5b83\u6ce8\u518c\u7684\u5b50\u7ea4\u7ef4）\u53ef\u4ee5\u4ece\u5e8f\u5217\u4e2d\u6574\u6bb5\u5220\u6389，\u7ec8\u6001\u4e0d\u53d8\u2014\u2014\u8fd9\u6b63\u662f Corollary 62（\u7ec8\u6001\u6062\u590d，𝑛 \u7684\u51c0\u8d21\u732e\u4e3a\u96f6）\u52a0\u4e0a Lemma 57（\u6b8b\u7559\u6761\u76ee\u4e0d\u53ef\u89c1）\u7684\u5e94\u7528：\u5220\u6389\u7684\u6b65\u9aa4\u628a\u72b6\u6001\u7559\u5728\u539f\u5904，\u6b8b\u7559\u7684\u6ce8\u518c\u6761\u76ee\u5bf9\u540e\u7eed\u89c4\u5219\u4e0d\u53ef\u89c1\u3002\u6b8b\u7559\u5f15\u7406\u6b63\u662f\u5220\u9664\u88ab\u9000\u5f79\u6ce8\u518c\u7684\u5de5\u5177\u3002<\/p>\n
Theorem 73 \u7684\u8bc1\u660e\u6897\u6982（\u4e24\u6b65\u5f52\u7ea6\u5230\u6b63\u89c4\u5f62\u5f0f）\u3002 (1) \u6b63\u89c4\u5f62\u5f0f\u5206\u4e09\u9636\u6bb5\u6784\u9020\u3002\u5173\u95ed\u5e55\u5148\u8d70：\u5f52\u7eb3\u5730\u6311\u4e00\u4e2a \u22b2-\u6781\u5927\u7684\u5173\u95ed\u5e55 𝑛，Lemma 72 \u7684\u4e09\u524d\u63d0\u6ee1\u8db3（\u65e0 𝑛\u227a𝑚 \u7684\u5173\u95ed\u5e55\u3001𝑛 \u6ce8\u518c\u7684\u7ea4\u7ef4\u65e0\u5e55），\u5220\u6389\u5b83，\u5f52\u7eb3\u6570\u51cf\u4e00\u3002\u975e 𝐴 \u7ea4\u7ef4\u65e0\u751f\u547d\u5468\u671f\u6b65\u9aa4：\u7531 Lemma 70 + quiet，\u5b83\u4eec\u5168\u7a0b 𝖨𝗇𝖺𝖼𝗍𝗂𝗏𝖾(\u22a5)，L-Begin \u662f\u552f\u4e00\u53ef\u7528\u89c4\u5219\u4f46\u4f1a\u5f00\u5e55\u2014\u2014\u77db\u76fe\u3002\u7f16\u6392\u6b65\u9aa4\u5f52\u524d：\u7f16\u6392\u8005\u63d2\u5165\u7684\u7ea4\u7ef4\u7684\u7f16\u6392\u6b65\u9aa4\u7528 Lemma 71(2) \u4e00\u8def\u524d\u79fb\u5230\u6700\u524d；\u6ce8\u518c\u4ea7\u751f\u7684\u7f16\u6392\u6b65\u9aa4\u7559\u5728\u6ce8\u518c\u5904\u3002\u5e55\u6392\u5e8f\u8fde\u7eed\u5316：\u6309 \u22b2 \u7ebf\u6027\u5316 𝑛1,\u2026,𝑛𝑘，\u5f52\u7eb3\u5730\u628a 𝑛1 \u7684\u6240\u6709\u6b65\u9aa4\u524d\u79fb\u6210\u8fde\u7eed\u521d\u59cb\u5757（𝑛1 \u662f \u22b2 \u6781\u5c0f\u6545 𝑑=\u2205\u3001𝜋=root，\u5176 target \u4e0d\u8bfb\u4ed6\u4eba\u3001\u6052\u5b9a，\u6bcf\u6b65\u53ea\u8bfb\u81ea\u5df1\u7684 𝜃\/𝑖，\u6545\u5904\u5904\u53ef\u5e94\u7528，Lemma 71 \u9010\u6b65\u524d\u79fb），\u518d\u5728\u4f59\u4e0b\u540e\u7f00\u4e0a\u5bf9 𝐴\u2216{𝑛1} \u91cd\u590d\u3002(2) \u6c47\u5408：\u4e24\u4e2a\u5e8f\u5217\u90fd\u5f52\u7ea6\u5230\u6b63\u89c4\u5f62\u5f0f，\u4e8c\u8005\u8dd1\u8fc7\u76f8\u540c\u7684 𝐴（\u4ec5\u6ce8\u518c\u6811\u7684\u540d\u5b57\u4e0d\u540c，\u7528 Lemma 56 \u7684\u53cc\u5c04\u5bf9\u9f50），\u2297 \u7684\u4e24\u4e2a\u7ebf\u6027\u5316\u53ea\u5dee\u4e0d\u53ef\u6bd4\u5e55\u7684\u6362\u4f4d，Lemma 71 \u4fdd\u8bc1\u7ec8\u70b9\u4e0d\u53d8，\u6545\u4e24\u6b63\u89c4\u5e8f\u5217\u4e00\u81f4\u3002\u7ed3\u5408 Theorem 66 \u7684\u7ec8\u6b62\u6027，\u751f\u547d\u5468\u671f\u5173\u7cfb\u6709\u552f\u4e00\u6b63\u89c4\u5f62\u5f0f\u3002<\/p>\n
\u5931\u8d25\u88ab\u8bda\u5b9e\u6392\u9664\u3002 \u8bba\u6587\u660e\u786e\u8bf4\u5931\u8d25\u662f"\u771f\u6b63\u7684\u53d1\u6563\u4e4b\u6e90，\u6f14\u7b97\u4e0d\u5e94\u5426\u8ba4"：\u662f\u5426\u629b\u9519\u53d6\u51b3\u4e8e\u8fd0\u884c\u6240\u4f9d\u636e\u7684\u72b6\u6001，\u4e00\u79cd\u8c03\u5ea6\u53ef\u80fd\u5931\u8d25\u4e00\u4e2a\u7ea4\u7ef4\u800c\u53e6\u4e00\u79cd\u5b8c\u6210\u5b83，\u4e24\u9759\u6b62\u6001\u5728\u8be5\u7ea4\u7ef4\u7684\u751f\u547d\u5468\u671f\u72b6\u6001\u4e0a\u4e0d\u540c\u3002\u4f46\u7531 Corollary 62，\u5931\u8d25\u7ea4\u7ef4\u5bf9\u72b6\u6001\u7684\u8d21\u732e\u4e3a\u96f6，\u6240\u4ee5\u4e24\u6001\u5728\u5176\u4f59\u4efb\u4f55\u65b9\u9762\u90fd\u4e0d\u5f02\u2014\u2014\u5931\u8d25\u53ea\u5f71\u54cd"\u90a3\u4e2a\u7ea4\u7ef4\u662f\u5426\u6fc0\u6d3b"，\u4e0d\u5f71\u54cd\u73af\u5883\u72b6\u6001\u3002\u8fd9\u662f\u4e00\u4e2a\u8bda\u5b9e\u7684\u8fb9\u754c：\u6c47\u5408\u6027\u4fdd\u8bc1\u7684\u662f"\u72b6\u6001"\u6c47\u5408，\u4e0d\u662f"\u54ea\u4e9b\u7ec4\u4ef6\u6210\u529f"\u6c47\u5408\u3002<\/p>\n
\u4e0e Cordis\/DSH \u5b9e\u8df5\u7684\u5bf9\u5e94\u2014\u2014\u8fd9\u662f\u8bba\u6587\u7684"\u6740\u624b\u7ea7\u5e94\u7528"\u3002 Theorem 73 \u662f\u5141\u8bb8"\u628a Cordis \u5e94\u7528\u5f53\u4f5c\u9759\u6001\u88c5\u914d\u6765\u63a8\u7406"\u7684\u6267\u7167\u3002\u5177\u4f53\u573a\u666f：\u4e00\u4e2a\u7f16\u6392\u8005"\u6dfb\u52a0\u7ec4\u4ef6 A\u3001\u79fb\u9664 A\u3001\u66ff\u6362\u63d0\u4f9b\u8005 P \u4e3a Q\u3001\u518d\u56de\u9000\u66ff\u6362（Q \u6362\u56de P）\u201c\u2014\u2014\u8fd9\u4e32\u590d\u6742\u52a8\u6001\u64cd\u4f5c\u6700\u7ec8\u5230\u8fbe\u7684\u72b6\u6001，\u4fdd\u8bc1\u7b49\u4e8e\u4e00\u5f00\u59cb\u5c31\u628a\u6700\u7ec8\u7ec4\u5408（\u542b P\u3001\u4e0d\u542b A）\u5199\u4e0b\u6765\u7684\u9759\u6001\u88c5\u914d\u7ed3\u679c\u3002\u8fd9\u610f\u5473\u7740\u7ec4\u4ef6\u4f5c\u8005\u5728\u63a8\u7406"\u54ea\u4e9b\u534f\u540c\u6548\u5e94\u5728\u4f5c\u7528\u57df\u5185"\u65f6，\u53ea\u9700\u63a8\u7406\u9759\u6b62\u72b6\u6001，\u65e0\u9700\u8ffd\u8e2a\u52a8\u6001\u5386\u53f2\u3002\u5b83\u4e5f\u5212\u5b9a\u4e86\u4fdd\u8bc1\u7684\u8fb9\u754c：\u5b9a\u7406\u8bf4\u7684\u662f"\u72b6\u6001\u201d，\u4e0d\u662f"\u6cbf\u8def\u4ea7\u751f\u7684\u53d1\u5c04（emissions）"\u2014\u2014\u8fd9\u662f\u7b2c6.1\u8282\u533a\u5206"\u83b7\u53d6（acquisition，\u8fb9\u754c\u5185\u8ffd\u8e2a）"\u4e0e"\u53d1\u5c04（emission，\u8de8\u8fb9\u754c）"\u7684\u4f0f\u7b14\u3002\u52a8\u6001\u7ec4\u5408\u56e0\u6b64\u83b7\u5f97\u4e86\u9759\u6001\u7ec4\u5408\u7684\u53ef\u63a8\u7406\u6027：\u4f60\u5199\u4e0b\u4e00\u4e2a Cordis \u5e94\u7528\u5e76\u53cd\u590d\u70ed\u91cd\u8f7d\u5b83，\u6700\u7ec8\u72b6\u6001\u4e0e"\u4e00\u6b21\u6027\u5199\u5b9a"\u4e0d\u53ef\u533a\u5206\u2014\u2014\u8fd9\u5c31\u662f"\u65f6\u7a7a\u53ef\u7ec4\u5408\u6027"\u7684\u6700\u7ec8\u627f\u8bfa\u3002<\/p>\n
\u672c\u7b14\u8bb0\u8986\u76d6\u8bba\u6587\u7b2c4\u7ae0（\u52a8\u6001\u7ec4\u5408\u6f14\u7b97）\u5168\u90e8\u5c0f\u8282：4.1 \u7ec4\u4ef6\u4e0e\u7ea4\u7ef4\u30014.2 \u57fa\u7840\u6f14\u7b97\u30014.3 \u8fdb\u884c\u4e2d\u7684\u8f6c\u6362（\u64a4\u56de\/\u8fed\u4ee3\/\u5f02\u6b65\/\u5931\u8d25）\u30014.4 \u5143\u7406\u8bba（\u4fdd\u6301\u6027\/\u65f6\u95f4\u53ef\u7ec4\u5408\u6027\/\u7a7a\u95f4\u53ef\u7ec4\u5408\u6027\/\u8fdb\u5c55\u6027\/\u6c47\u5408\u6027）\u3002\u6240\u6709\u64cd\u4f5c\u8bed\u4e49\u89c4\u5219\u540d\u4e0e\u5173\u952e\u5f62\u5f0f\u3001\u6240\u6709\u5f15\u7406\u4e0e\u5b9a\u7406\u9648\u8ff0\u5747\u6309\u539f\u6587\u4fdd\u7559，\u8bc1\u660e\u4ee5\u6897\u6982\u5f62\u5f0f\u6982\u62ec\u5e76\u70b9\u660e\u5176\u6240\u5efa\u7acb\u7684\u6027\u8d28\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
Cordis \u65f6\u7a7a\u53ef\u7ec4\u5408\u6027\u7f16\u7a0b\u8303\u5f0f \u2014 \u4e09\u6bb5\u5f0f\u7cbe\u8bfb\u7b14\u8bb0（\u4e09）
\n\u7b2c4\u7ae0 \u52a8\u6001\u7ec4\u5408\u6f14\u7b97\u672c\u6587\u6863\u91c7\u7528\u4e09\u6bb5\u5f0f\u7ed3\u6784：\u6bcf\u8282\u5148\u7ed9\u51fa\u82f1\u6587\u539f\u6587，\u518d\u7ed9\u51fa\u4e2d\u6587\u7ffb\u8bd1，\u6700\u540e\u7ed9\u51fa\u8be6\u7ec6\u89e3\u91ca\u8bf4\u660e\u3002
\n\u672c\u7ae0\u628a\u7b2c3\u7ae0\u7684\u673a\u5236\u5c01\u88c5\u4e3a\\”\u7ec4\u4ef6\\”，\u7ed9\u51fa\u52a8\u6001\u7ec4\u5408\u6f14\u7b97，\u5e76\u8bc1\u660e\u5176\u5143\u7406\u8bba\u6027\u8d28\u30024.1 Components and Fibers \/ \u7ec4\u4ef6\u4e0e\u7ea4\u7ef4
\n\u539f\u6587 (English)This section fixes the obje<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[10867,10848,74,66,68],"topic":[],"class_list":["post-97496","post","type-post","status-publish","format-standard","hentry","category-server","tag-dsh","tag-harness","tag-agent","tag-ai","tag-deepseek"],"yoast_head":"\n