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A Congruence Format for Nominal SOS

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If you have a question about this talk, please contact Dan Ghica.

Structural Operational Semantics (SOS) is one of the most natural ways for providing programming languages with a formal semantics. Results on the meta-theory of SOS typically state that if the syntax that is employed in writing a semantic specification conforms to some syntactic template then certain properties are guaranteed to hold for the specified language. These syntactic templates are called rule formats. In this talk, we focus on Nominal SOS , a formalization of SOS with explicit syntax and primitives for the specification of languages with binders. We offer a rule format for Nominal SOS that guarantees that bisimilarity is a congruence. We show the applicability of the format to pi-calculus and (a modified) lambda-calculus, and we recover congruence for two classic equivalences, Sangiorgi’s open bisimilarity and Abramsky’s applicative bisimilarity.

This talk is part of the Lab Lunch series.

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