{"title":"属性语法的单元化","authors":"Dawn Michaelson, E. V. Wyk","doi":"10.1145/3426425.3426941","DOIUrl":null,"url":null,"abstract":"We describe a monadification process for attribute grammars for more concisely written attribute equations, closer to the style of inference rules used in traditional typing and evaluation specifications. Inference rules specifying, for example, a typing relation typically consider only typable expressions, whereas well-defined attribute grammars explicitly determine attribute values for any term, including untypable ones. The monadification approach lets one represent, for example, types as monadic optional/maybe values, but write non-monadic equations over the value inside the monad that only specify the rules for a correct typing, leading to more concise specifications. The missing failure cases are handled by a rewriting that inserts monadic return, bind, and failure operations to produce a well-defined attribute grammar that handles untypable trees. Thus, one can think in terms of a type T and not the actual monadic type M(T). To formalize this notion, typing and evaluation relations are given for the original and rewritten equations. The rewriting is total, preserves types, and a correctness property relating values of original and rewritten equations is given. A prototype implementation illustrates the benefits with examples such as typing of the simply-typed lambda calculus with Booleans, evaluation of the same, and type inference in Caml Light.","PeriodicalId":312792,"journal":{"name":"Proceedings of the 13th ACM SIGPLAN International Conference on Software Language Engineering","volume":"61 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Monadification of attribute grammars\",\"authors\":\"Dawn Michaelson, E. V. Wyk\",\"doi\":\"10.1145/3426425.3426941\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe a monadification process for attribute grammars for more concisely written attribute equations, closer to the style of inference rules used in traditional typing and evaluation specifications. Inference rules specifying, for example, a typing relation typically consider only typable expressions, whereas well-defined attribute grammars explicitly determine attribute values for any term, including untypable ones. The monadification approach lets one represent, for example, types as monadic optional/maybe values, but write non-monadic equations over the value inside the monad that only specify the rules for a correct typing, leading to more concise specifications. The missing failure cases are handled by a rewriting that inserts monadic return, bind, and failure operations to produce a well-defined attribute grammar that handles untypable trees. Thus, one can think in terms of a type T and not the actual monadic type M(T). To formalize this notion, typing and evaluation relations are given for the original and rewritten equations. The rewriting is total, preserves types, and a correctness property relating values of original and rewritten equations is given. A prototype implementation illustrates the benefits with examples such as typing of the simply-typed lambda calculus with Booleans, evaluation of the same, and type inference in Caml Light.\",\"PeriodicalId\":312792,\"journal\":{\"name\":\"Proceedings of the 13th ACM SIGPLAN International Conference on Software Language Engineering\",\"volume\":\"61 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 13th ACM SIGPLAN International Conference on Software Language Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3426425.3426941\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 13th ACM SIGPLAN International Conference on Software Language Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3426425.3426941","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We describe a monadification process for attribute grammars for more concisely written attribute equations, closer to the style of inference rules used in traditional typing and evaluation specifications. Inference rules specifying, for example, a typing relation typically consider only typable expressions, whereas well-defined attribute grammars explicitly determine attribute values for any term, including untypable ones. The monadification approach lets one represent, for example, types as monadic optional/maybe values, but write non-monadic equations over the value inside the monad that only specify the rules for a correct typing, leading to more concise specifications. The missing failure cases are handled by a rewriting that inserts monadic return, bind, and failure operations to produce a well-defined attribute grammar that handles untypable trees. Thus, one can think in terms of a type T and not the actual monadic type M(T). To formalize this notion, typing and evaluation relations are given for the original and rewritten equations. The rewriting is total, preserves types, and a correctness property relating values of original and rewritten equations is given. A prototype implementation illustrates the benefits with examples such as typing of the simply-typed lambda calculus with Booleans, evaluation of the same, and type inference in Caml Light.