Publications:Nominal SOS

Jump to: navigation, search

Do not edit this section

Keep all hand-made modifications below

Title Nominal SOS
Author Matteo Cimini and Mohammad Reza Mousavi and Michel A. Reniers and Murdoch J. Gabbay
Year 2012
PublicationType Conference Paper
HostPublication Proceedings of the 28th Conference on the Mathematical Foundations of Programming Semantics (MFPS XXVIII)
Conference The 28th Conference on the Mathematical Foundations of Programming Semantics (MFPS 2012), Bath, United Kingdom, 6-9 June
Diva url
Abstract Plotkin’s style of Structural Operational Semantics (SOS) has become a de facto standard in giving operational semantics to formalisms and process calculi. In many such formalisms and calculi, the concepts of names, variables and binders are essential ingredients. In this paper, we propose a formal framework for dealing with names in SOS. The framework is based on the Nominal Logic of Gabbay and Pitts and hence is called Nominal SOS. We define nominal bisimilarity, an adaptation of the notion of bisimilarity that is aware of binding. We provide evidence of the expressiveness of the framework by formulating the early π-calculus and Abramsky’s lazy λ-calculus within Nominal SOS. For both calculi we establish the operational correspondence with the original calculi. Moreover, in the context of the π-calculus, we prove that nominal bisimilarity coincides with Sangiorgi’s open bisimilarity and in the context of the λ-calculus we prove that nominal bisimilarity coincides with Abramsky’s applicative bisimilarity