منابع مشابه
Presheaf Models for the π-Calculus
Recent work has shown that presheaf categories provide a general model of concurrency, with an inbuilt notion of bisimulation based on open maps. Here it is shown how this approach can also handle systems where the language of actions may change dynamically as a process evolves. The example is the π-calculus, a calculus for ‘mobile processes’ whose communication topology varies as channels are ...
متن کاملPresheaf Models for Concurrency
In this dissertation we investigate presheaf models for concurrent computation. Our aim is to provide a systematic treatment of bisimulation for a wide range of concurrent process calculi. Bisimilarity is defined abstractly in terms of open maps as in the work of Joyal, Nielsen and Winskel. Their work inspired this thesis by suggesting that presheaf categories could provide abstract models for ...
متن کاملHigher category models of the pi-calculus
We present an approach to modeling computational calculi using higher category theory. Specifically we present a fully abstract semantics for the π-calculus. The interpretation is consistent with Curry-Howard, interpreting terms as typed morphisms, while simultaneously providing an explicit interpretation of the rewrite rules of standard operational presentations as 2-morphisms. One of the key ...
متن کاملPi-nets: interaction nets for pi-calculus
π-calculus is a framework that aims to describe concurrent calculations through a formal definition of processes. Originally, π-calculus is defined by a formal language and a set of reduction rules, much in the spirit of λ-calculus. Our aim is to provide a graphical representation of π-calculus using multi-wired interaction nets, in the spirit this time of proof-nets of linear logic. 1 π-calcul...
متن کاملThe pi-calculus
We formalise the pi-calculus using the nominal datatype package, based on ideas from the nominal logic by Pitts et al., and demonstrate an implementation in Isabelle/HOL. The purpose is to derive powerful induction rules for the semantics in order to conduct machine checkable proofs, closely following the intuitive arguments found in manual proofs. In this way we have covered many of the standa...
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ژورنال
عنوان ژورنال: BRICS Report Series
سال: 1997
ISSN: 1601-5355,0909-0878
DOI: 10.7146/brics.v4i34.18960