{"title":"完成逻辑约束重写","authors":"S. Winkler, A. Middeldorp","doi":"10.4230/LIPIcs.FSCD.2018.30","DOIUrl":null,"url":null,"abstract":"We propose an abstract completion procedure for logically constrained term rewrite systems (LCTRSs). This procedure can be instantiated to both standard Knuth-Bendix completion and ordered completion for LCTRSs, and we present a succinct and uniform correctness proof. A prototype implementation illustrates the viability of the new completion approach. 2012 ACM Subject Classification Theory of computation → Rewrite systems, Theory of computation → Equational logic and rewriting, Theory of computation → Automated reasoning","PeriodicalId":284975,"journal":{"name":"International Conference on Formal Structures for Computation and Deduction","volume":"101 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Completion for Logically Constrained Rewriting\",\"authors\":\"S. Winkler, A. Middeldorp\",\"doi\":\"10.4230/LIPIcs.FSCD.2018.30\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose an abstract completion procedure for logically constrained term rewrite systems (LCTRSs). This procedure can be instantiated to both standard Knuth-Bendix completion and ordered completion for LCTRSs, and we present a succinct and uniform correctness proof. A prototype implementation illustrates the viability of the new completion approach. 2012 ACM Subject Classification Theory of computation → Rewrite systems, Theory of computation → Equational logic and rewriting, Theory of computation → Automated reasoning\",\"PeriodicalId\":284975,\"journal\":{\"name\":\"International Conference on Formal Structures for Computation and Deduction\",\"volume\":\"101 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Conference on Formal Structures for Computation and Deduction\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4230/LIPIcs.FSCD.2018.30\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Formal Structures for Computation and Deduction","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4230/LIPIcs.FSCD.2018.30","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We propose an abstract completion procedure for logically constrained term rewrite systems (LCTRSs). This procedure can be instantiated to both standard Knuth-Bendix completion and ordered completion for LCTRSs, and we present a succinct and uniform correctness proof. A prototype implementation illustrates the viability of the new completion approach. 2012 ACM Subject Classification Theory of computation → Rewrite systems, Theory of computation → Equational logic and rewriting, Theory of computation → Automated reasoning