Distributed Asynchronous Games With Causal Memory are Undecidable

Hugo Gimbert (1, 2)

1 CNRS - Centre National de la Recherche Scientifique
2 LaBRI - Laboratoire Bordelais de Recherche en Informatique

We show the undecidability of the distributed control problem when the plant is an asynchronous automaton, the controllers use causal memory and the goal of the controllers is to put each process in a local accepting state.

Mots clés: Distributed controllability

Domaines: Informatique et théorie des jeux [cs.GT]; Théorie et langage formel [cs.FL]

Hugo Gimbert. Distributed Asynchronous Games With Causal Memory are Undecidable. Logical Methods in Computer Science, 2022, 18 (3). ⟨hal-03406466v4⟩