A Finite Axiomatisation of Finite-State Automata Using String Diagrams

We develop a fully diagrammatic approach to finite-state automata, based on reinterpreting their usual state-transition graphical representation as a two-dimensional syntax of string diagrams. In this setting, we are able to provide a complete equational theory for language equivalence, with two not...

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Bibliographic Details
Main Authors: Robin Piedeleu, Fabio Zanasi
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2023-02-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/10400/pdf