{"title":"Unique fixpoint induction for value-passing processes","authors":"J. Rathke","doi":"10.1109/LICS.1997.614942","DOIUrl":null,"url":null,"abstract":"We investigate the use of unique fixpoint induction as a proof method for value-passing process languages with recursion. An intuitive generalisation of unique fixpoint induction based on loop invariants for symbolic graphs yields strong completeness results; we give an axiomatic characterisation of both late and early observational congruence for a class of fully parameterised processes. This new, generalised, rule is shown to be derivable from existing formulations of unique fixpoint induction for value-passing calculi, thereby providing original completeness results. An example of the use of this new rule is presented in detail.","PeriodicalId":272903,"journal":{"name":"Proceedings of Twelfth Annual IEEE Symposium on Logic in Computer Science","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of Twelfth Annual IEEE Symposium on Logic in Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LICS.1997.614942","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
We investigate the use of unique fixpoint induction as a proof method for value-passing process languages with recursion. An intuitive generalisation of unique fixpoint induction based on loop invariants for symbolic graphs yields strong completeness results; we give an axiomatic characterisation of both late and early observational congruence for a class of fully parameterised processes. This new, generalised, rule is shown to be derivable from existing formulations of unique fixpoint induction for value-passing calculi, thereby providing original completeness results. An example of the use of this new rule is presented in detail.
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