{"title":"Semantic confluence tests and completion methods","authors":"David A. Plaisted","doi":"10.1016/S0019-9958(85)80005-X","DOIUrl":null,"url":null,"abstract":"<div><p>We present semantic methods for showing that a term-rewriting system is confluent. We also present methods for completing a given term-rewriting system to obtain an equivalent confluent system. These methods differ from the well-known and widely studied Knuth-Bendix method in that they emphasize semantics rather than syntax. Also, they often require more user interaction than the purely syntactic Knuth-Bendix method. The concept of “ground confluence” is discussed; methods for demonstrating ground confluence are also given. We give decision procedures for some sub-problems that arise in this method.</p></div>","PeriodicalId":38164,"journal":{"name":"信息与控制","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1985-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0019-9958(85)80005-X","citationCount":"144","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"信息与控制","FirstCategoryId":"1093","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S001999588580005X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 144
Abstract
We present semantic methods for showing that a term-rewriting system is confluent. We also present methods for completing a given term-rewriting system to obtain an equivalent confluent system. These methods differ from the well-known and widely studied Knuth-Bendix method in that they emphasize semantics rather than syntax. Also, they often require more user interaction than the purely syntactic Knuth-Bendix method. The concept of “ground confluence” is discussed; methods for demonstrating ground confluence are also given. We give decision procedures for some sub-problems that arise in this method.