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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Alternating hierarchy of subshifts defined by nondeterministic plane-walking automata

Pacôme Perrotin
Universidade Presbiteriana Mackenzie, Brésil
https://pacomeperrotin.com/

Date(s) : 03/12/2024   iCal
11h00 - 12h00

Plane-walking automata were introduced by Salo & Törma to recognise languages of two-dimensional infinite words (subshifts), the counterpart of 4-way finite automata for two-dimensional finite words. We extend the model to allow for nondeterminism and alternation of quantifiers. We prove that the recognised subshifts form a strict subclass of sofic subshifts, and that the classes corresponding to existential and universal nondeterminism are incomparable and both larger that the deterministic class. We define a hierarchy of subshifts recognised by plane-walking automata with alternating quantifiers, which we conjecture to be strict.

Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)

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