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Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs最新文献

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Lean Formalization of Extended Regular Expression Matching with Lookarounds 带查找功能的扩展正则表达式匹配的精益形式化
Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs Pub Date : 2024-01-09 DOI: 10.1145/3636501.3636959
Ekaterina Zhuchko, Margus Veanes, Gabriel Ebner
{"title":"Lean Formalization of Extended Regular Expression Matching with Lookarounds","authors":"Ekaterina Zhuchko, Margus Veanes, Gabriel Ebner","doi":"10.1145/3636501.3636959","DOIUrl":"https://doi.org/10.1145/3636501.3636959","url":null,"abstract":"We present a formalization of a matching algorithm for extended regular expression matching based on locations and symbolic derivatives which supports intersection, complement and lookarounds and whose implementation mirrors an extension of the recent .NET NonBacktracking regular expression engine. The formalization of the algorithm and its semantics uses the Lean 4 proof assistant. The proof of its correctness is with respect to standard matching semantics.","PeriodicalId":516581,"journal":{"name":"Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs","volume":"63 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140511460","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}
引用次数: 1
Certification of Confluence- and Commutation-Proofs via Parallel Critical Pairs 通过并行临界对认证汇合和换向证明
Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs Pub Date : 2024-01-09 DOI: 10.1145/3636501.3636949
Nao Hirokawa, Dohan Kim, Kiraku Shintani, René Thiemann
{"title":"Certification of Confluence- and Commutation-Proofs via Parallel Critical Pairs","authors":"Nao Hirokawa, Dohan Kim, Kiraku Shintani, René Thiemann","doi":"10.1145/3636501.3636949","DOIUrl":"https://doi.org/10.1145/3636501.3636949","url":null,"abstract":"Parallel critical pairs (PCPs) have been used to design sufficient criteria for confluence of term rewrite systems. In this work we formalize PCPs and the criteria of Gramlich, Toyama, and Shintani and Hirokawa in the proof assistant Isabelle. In order to reduce the amount of bureaucracy we deviate from the paper-definition of PCPs, i.e., we switch from a position-based definition to a context-based definition. This switch not only simplifies the formalization task, but also gives rise to a simple recursive algorithm to compute PCPs. We further generalize all mentioned criteria from confluence to commutation and integrate them in the certifier CeTA, so that it can now validate confluence- and commutation-proofs based on PCPs. Because of our results, CeTA is now able to certify proofs by the automatic confluence tool Hakusan, which makes heavy use of PCPs. These proofs include term rewrite systems for which no previous certified confluence proof was known.","PeriodicalId":516581,"journal":{"name":"Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs","volume":" 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139640524","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}
引用次数: 0
Unification for Subformula Linking under Quantifiers 量词下子公式链接的统一
Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs Pub Date : 2024-01-09 DOI: 10.1145/3636501.3636950
Ike Mulder, R. Krebbers
{"title":"Unification for Subformula Linking under Quantifiers","authors":"Ike Mulder, R. Krebbers","doi":"10.1145/3636501.3636950","DOIUrl":"https://doi.org/10.1145/3636501.3636950","url":null,"abstract":"Subformula linking is a technique that allows one to simplify proof goals by identifying subformulas of hypotheses that share atoms with the goal. It has been used by recent prototypes for gesture-based interactive theorem proving, but also for theorem proving in separation logic. When linking formulas, we should avoid information loss, i.e., subformula linking should succeed precisely when a provable simplification can be generated. Avoiding information loss is challenging when quantifiers are involved. Existing approaches either generate simplifications that involve equalities, or determine substitutions for variables via unification. The first approach can produce unprovable simplifications, while the second approach can fail to find desired links. We propose a third approach, called Quantifying on the Uninstantiated (QU), which is also based on unification and lies between the two existing approaches. We show that QU has practical applications for proof automation, by improving tactics for resource framing in the Iris framework for separation logic in Coq.","PeriodicalId":516581,"journal":{"name":"Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs","volume":" 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139640504","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}
引用次数: 0
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