A more general categorical framework for congruence of applicative bisimilarity

Tom Hirschowitz; Ambroise Lafont

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arXiv · 2303.11679

A more general categorical framework for congruence of applicative bisimilarity

Tom Hirschowitz·Ambroise Lafont

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Abstract

We prove a general congruence result for bisimilarity in higher-order languages, which generalises previous work to languages specified by a labelled transition system in which programs may occur as labels, and which may rely on operations on terms other than capture-avoiding substitution. This is typically the case for PCF, $\lambda$-calculus with delimited continuations, and early-style bisimilarity in higher-order process calculi.

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Tom Hirschowitz, Ambroise Lafont. 2023-03-21. A more general categorical framework for congruence of applicative bisimilarity. https://arxiv.org/abs/2303.11679

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