{"title":"Disproving termination with overapproximation","authors":"B. Cook, Carsten Fuhs, K. Nimkar, P. O'Hearn","doi":"10.1109/FMCAD.2014.6987597","DOIUrl":null,"url":null,"abstract":"When disproving termination using known techniques (e.g. recurrence sets), abstractions that overapproximate the program's transition relation are unsound. In this paper we introduce live abstractions, a natural class of abstractions that can be combined with the recent concept of closed recurrence sets to soundly disprove termination. To demonstrate the practical usefulness of this new approach we show how programs with nonlinear, nondeterministic, and heap-based commands can be shown nonterminating using linear overapproximations.","PeriodicalId":363683,"journal":{"name":"2014 Formal Methods in Computer-Aided Design (FMCAD)","volume":"279 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 Formal Methods in Computer-Aided Design (FMCAD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FMCAD.2014.6987597","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 30
Abstract
When disproving termination using known techniques (e.g. recurrence sets), abstractions that overapproximate the program's transition relation are unsound. In this paper we introduce live abstractions, a natural class of abstractions that can be combined with the recent concept of closed recurrence sets to soundly disprove termination. To demonstrate the practical usefulness of this new approach we show how programs with nonlinear, nondeterministic, and heap-based commands can be shown nonterminating using linear overapproximations.
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