Luis Aguirre, N. Martí-Oliet, Miguel Palomino, I. Pita
{"title":"条件窄化模SMT及其公理","authors":"Luis Aguirre, N. Martí-Oliet, Miguel Palomino, I. Pita","doi":"10.1145/3131851.3131856","DOIUrl":null,"url":null,"abstract":"This work presents a narrowing calculus for reachability problems in order-sorted conditional rewrite theories whose underlying equational logic is composed of some theories solvable via a satisfiability modulo theories (SMT) solver plus some combination of associativity, commutativity, and identity axioms for the non-SMT part of the equational logic; the conditions of the rules can be either rewrite conditions or quantifier-free SMT formulas. For any normalized answer of a reachability problem, this calculus computes this answer, or a more general one that can be instantiated to it.","PeriodicalId":148157,"journal":{"name":"Proceedings of the 19th International Symposium on Principles and Practice of Declarative Programming","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Conditional narrowing modulo SMT and axioms\",\"authors\":\"Luis Aguirre, N. Martí-Oliet, Miguel Palomino, I. Pita\",\"doi\":\"10.1145/3131851.3131856\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work presents a narrowing calculus for reachability problems in order-sorted conditional rewrite theories whose underlying equational logic is composed of some theories solvable via a satisfiability modulo theories (SMT) solver plus some combination of associativity, commutativity, and identity axioms for the non-SMT part of the equational logic; the conditions of the rules can be either rewrite conditions or quantifier-free SMT formulas. For any normalized answer of a reachability problem, this calculus computes this answer, or a more general one that can be instantiated to it.\",\"PeriodicalId\":148157,\"journal\":{\"name\":\"Proceedings of the 19th International Symposium on Principles and Practice of Declarative Programming\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-10-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 19th International Symposium on Principles and Practice of Declarative Programming\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3131851.3131856\",\"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 19th International Symposium on Principles and Practice of Declarative Programming","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3131851.3131856","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This work presents a narrowing calculus for reachability problems in order-sorted conditional rewrite theories whose underlying equational logic is composed of some theories solvable via a satisfiability modulo theories (SMT) solver plus some combination of associativity, commutativity, and identity axioms for the non-SMT part of the equational logic; the conditions of the rules can be either rewrite conditions or quantifier-free SMT formulas. For any normalized answer of a reachability problem, this calculus computes this answer, or a more general one that can be instantiated to it.