English

A more general categorical framework for congruence of applicative bisimilarity

Logic in Computer Science 2023-03-22 v1 Category Theory

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, λ\lambda-calculus with delimited continuations, and early-style bisimilarity in higher-order process calculi.

Keywords

Cite

@article{arxiv.2303.11679,
  title  = {A more general categorical framework for congruence of applicative bisimilarity},
  author = {Tom Hirschowitz and Ambroise Lafont},
  journal= {arXiv preprint arXiv:2303.11679},
  year   = {2023}
}