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A Finite Axiomatisation of Finite-State Automata Using String Diagrams

Robin Piedeleu ; Fabio Zanasi.
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&nbsp;[&hellip;]
Published on February 15, 2023

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