IMT Institutional Repository: No conditions. Results ordered -Date Deposited. 2024-05-19T05:43:57ZEPrintshttp://eprints.imtlucca.it/images/logowhite.pnghttp://eprints.imtlucca.it/2011-05-26T12:22:23Z2011-07-11T14:36:25Zhttp://eprints.imtlucca.it/id/eprint/285This item is in the repository with the URL: http://eprints.imtlucca.it/id/eprint/2852011-05-26T12:22:23ZSemantic subtyping for the pi-calculusSubtyping relations for the π-calculus are usually defined in a syntactic way, by means of structural rules. We propose a semantic characterisation of channel types and use it to derive a subtyping relation. The type system we consider includes read-only and write-only channel types, as well as boolean combinations of types. A set-theoretic interpretation of types is provided, in which boolean combinations of types are interpreted as the corresponding set-theoretic operations. Subtyping is defined as inclusion of the interpretations. We prove decidability of the subtyping relation and sketch the subtyping algorithm.
In order to fully exploit the type system, we define a variant of the π-calculus where communication is subjected to pattern matching that performs dynamic typecase.Giuseppe CastagnaRocco De Nicolar.denicola@imtlucca.itDaniele Varacca2011-05-25T12:14:27Z2011-07-11T14:36:25Zhttp://eprints.imtlucca.it/id/eprint/307This item is in the repository with the URL: http://eprints.imtlucca.it/id/eprint/3072011-05-25T12:14:27ZSemantic Subtyping for the p-CalculusSubtyping relations for the π-calculus are usually defined in a syntactic way, by means of structural rules. We propose a semantic characterisation of channel types and use it to derive a subtyping relation. The type system we consider includes read-only and write-only channel types, as well as Boolean combinations of types. A set-theoretic interpretation of types is provided, in which Boolean combinations are interpreted as the corresponding set-theoretic operations. Subtyping is defined as inclusion of the interpretations. We prove the decidability of the subtyping relation and sketch the subtyping algorithm. In order to fully exploit the type system, we define a variant of the π-calculus where communication is subjected to pattern matching that performs dynamic typecase.Giuseppe CastagnaRocco De Nicolar.denicola@imtlucca.itDaniele Varacca