{"title":"值传递过程的唯一不动点归纳","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":"{\"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}","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}
Unique fixpoint induction for value-passing processes
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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