Exposé par Robin Piedeleu : «A diagrammatic axiomatisation of finite-state automata»
Pour le prochain séminaire de l’équipe Cosynus, nous aurons le plaisir d’accueillir Robin Piedeleu qui nous parlera d’une approche diagrammatique pour l’équivalence des automates.
Le seminaire sera en ligne: https://webconf.math.cnrs.fr/b/sam-tq6-hwg
Résumé : In this talk I will present a fully diagrammatic approach to the theory of finite-state automata, based on reinterpreting their usual state-transition graphs as string diagrams. Moreover, I will give an equational theory that completely axiomatises language equivalence in this new setting. The proposed axiomatisation is finitary— a result which is provably impossible to obtain for the usual one-dimensional syntax of regular expressions.