{"title":"A category of labelled Petri nets and compositional proof system","authors":"G. Winskel","doi":"10.1109/LICS.1988.5113","DOIUrl":"https://doi.org/10.1109/LICS.1988.5113","url":null,"abstract":"An attempt is made to cast labeled Petri nets and other models in an algebraic framework. One aim is to utilize the framework of categorical l to cast labeled Petri nets and other models in an algebraic framework. The other aim is to utilize the framework of categorical logic to systematize specification languages and the derivation of proof systems for parallel processes. A category of labeled nets is presented, and its categorical constructions are used to establish a compositional proof system. A category of properties of nets is used in forming the proof system.<<ETX>>","PeriodicalId":425186,"journal":{"name":"[1988] Proceedings. Third Annual Information Symposium on Logic in Computer Science","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116731786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Proving unprovability","authors":"Michael L. Tiomkin","doi":"10.1109/LICS.1988.5097","DOIUrl":"https://doi.org/10.1109/LICS.1988.5097","url":null,"abstract":"A formal proof system for unprovability in the predicate calculi is developed. This system is shown to be complete with respect to the logic of finite structures. It can be used to extend the 'negation by failure' of Prolog, prevent infinite loops in a deductive data base or Prolog, or prove formulaes in nonmonotonic (default) logic.<<ETX>>","PeriodicalId":425186,"journal":{"name":"[1988] Proceedings. Third Annual Information Symposium on Logic in Computer Science","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127049569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}