A categorical framework for congruence of applicative bisimilarity in higher-order languages

Autor: Tom Hirschowitz, Ambroise Lafont
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Logical Methods in Computer Science, Vol Volume 18, Issue 3 (2022)
Druh dokumentu: article
ISSN: 1860-5974
DOI: 10.46298/lmcs-18(3:37)2022
Popis: Applicative bisimilarity is a coinductive characterisation of observational equivalence in call-by-name lambda-calculus, introduced by Abramsky (1990). Howe (1996) gave a direct proof that it is a congruence, and generalised the result to all languages complying with a suitable format. We propose a categorical framework for specifying operational semantics, in which we prove that (an abstract analogue of) applicative bisimilarity is automatically a congruence. Example instances include standard applicative bisimilarity in call-by-name, call-by-value, and call-by-name non-deterministic $\lambda$-calculus, and more generally all languages complying with a variant of Howe's format.
Databáze: Directory of Open Access Journals