Modules over monads and operational semantics (expanded version)

André Hirschowitz; Tom Hirschowitz; Ambroise Lafont

doi:10.46298/lmcs-18(3:3)2022

André Hirschowitz ; Tom Hirschowitz ; Ambroise Lafont - Modules over monads and operational semantics (expanded version)

lmcs:6970 - Logical Methods in Computer Science, August 2, 2022, Volume 18, Issue 3 - https://doi.org/10.46298/lmcs-18(3:3)2022

Modules over monads and operational semantics (expanded version)Article

Authors: André Hirschowitz ; Tom Hirschowitz ; Ambroise Lafont

This paper is a contribution to the search for efficient and high-level mathematical tools to specify and reason about (abstract) programming languages or calculi. Generalising the reduction monads of Ahrens et al., we introduce transition monads, thus covering new applications such as lambda-bar-mu-calculus, pi-calculus, Positive GSOS specifications, differential lambda-calculus, and the big-step, simply-typed, call-by-value lambda-calculus. Moreover, we design a suitable notion of signature for transition monads.

https://doi.org/10.46298/lmcs-18(3:3)2022

Source: arXiv.org:2012.06530

Volume: Volume 18, Issue 3

Published on: August 2, 2022

Accepted on: April 5, 2022

Submitted on: December 14, 2020

Keywords: Computer Science - Programming Languages,Computer Science - Logic in Computer Science,Mathematics - Category Theory,68N15,D.3.1,F.3.2

Licence: Attribution 4.0 International (CC BY 4.0)