Modular coinduction up-to for higher-order languages via first-order transition systems - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Logical Methods in Computer Science Year : 2021

Modular coinduction up-to for higher-order languages via first-order transition systems

Abstract

The bisimulation proof method can be enhanced by employing `bisimulations up-to' techniques. A comprehensive theory of such enhancements has been developed for first-order (i.e., CCS-like) labelled transition systems (LTSs) and bisimilarity, based on abstract fixed-point theory and compatible functions. We transport this theory onto languages whose bisimilarity and LTS go beyond those of first-order models. The approach consists in exhibiting fully abstract translations of the more sophisticated LTSs and bisimilarities onto the first-order ones. This allows us to reuse directly the large corpus of up-to techniques that are available on first-order LTSs. The only ingredient that has to be manually supplied is the compatibility of basic up-to techniques that are specific to the new languages. We investigate the method on the pi-calculus, the lambda-calculus, and a (call-by-value) lambda-calculus with references.

Dates and versions

hal-03350199 , version 1 (21-09-2021)

Identifiers

Cite

Jean-Marie Madiot, Damien Pous, Davide Sangiorgi. Modular coinduction up-to for higher-order languages via first-order transition systems. Logical Methods in Computer Science, 2021, Volume 17, Issue 3, ⟨10.46298/lmcs-17(3:25)2021⟩. ⟨hal-03350199⟩
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