{"title":"Property-directed k-induction","authors":"Dejan Jovanovic, B. Dutertre","doi":"10.1109/FMCAD.2016.7886665","DOIUrl":null,"url":null,"abstract":"IC3 and k-induction are commonly used in automated analysis of infinite-state systems. We present a reformulation of IC3 that separates reachability checking from induction reasoning. This makes the algorithm more modular, and allows us to integrate IC3 and k-induction. We call this new method property-directed k-induction (PD-KIND). We show that k-induction is more powerful than regular induction, and that, modulo assumptions on the interpolation method, PD-KIND is more powerful than k-induction. Moreover, with k-induction as the invariant generation back-end of IC3, the new method can produce more concise invariants. We have implemented the method in the SALLY model checker. We present empirical results to support its effectiveness.","PeriodicalId":6479,"journal":{"name":"2016 Formal Methods in Computer-Aided Design (FMCAD)","volume":"138 1","pages":"85-92"},"PeriodicalIF":0.0000,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"43","resultStr":"{\"title\":\"Property-directed k-induction\",\"authors\":\"Dejan Jovanovic, B. Dutertre\",\"doi\":\"10.1109/FMCAD.2016.7886665\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"IC3 and k-induction are commonly used in automated analysis of infinite-state systems. We present a reformulation of IC3 that separates reachability checking from induction reasoning. This makes the algorithm more modular, and allows us to integrate IC3 and k-induction. We call this new method property-directed k-induction (PD-KIND). We show that k-induction is more powerful than regular induction, and that, modulo assumptions on the interpolation method, PD-KIND is more powerful than k-induction. Moreover, with k-induction as the invariant generation back-end of IC3, the new method can produce more concise invariants. We have implemented the method in the SALLY model checker. We present empirical results to support its effectiveness.\",\"PeriodicalId\":6479,\"journal\":{\"name\":\"2016 Formal Methods in Computer-Aided Design (FMCAD)\",\"volume\":\"138 1\",\"pages\":\"85-92\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"43\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Formal Methods in Computer-Aided Design (FMCAD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FMCAD.2016.7886665\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Formal Methods in Computer-Aided Design (FMCAD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FMCAD.2016.7886665","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
IC3 and k-induction are commonly used in automated analysis of infinite-state systems. We present a reformulation of IC3 that separates reachability checking from induction reasoning. This makes the algorithm more modular, and allows us to integrate IC3 and k-induction. We call this new method property-directed k-induction (PD-KIND). We show that k-induction is more powerful than regular induction, and that, modulo assumptions on the interpolation method, PD-KIND is more powerful than k-induction. Moreover, with k-induction as the invariant generation back-end of IC3, the new method can produce more concise invariants. We have implemented the method in the SALLY model checker. We present empirical results to support its effectiveness.
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