par Exibard, Leo ;Filiot, Emmanuel ;Reynier, Pierre-Alain
Editeur scientifique Fokkink, Wan;Van Glabbeek, Rob J.
Référence International Conference on Concurrency Theory(30: August 26-31: Amsterdam), 30th International Conference on Concurrency Theory, CONCUR 2019, Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik
Publication A Paraître, 2019-08-31
Publication dans des actes
Résumé : In reactive synthesis, the goal is to automatically generate an implementation from a specification of the reactive and non-terminating input/output behaviours of a system. Specifications are usually modelled as logical formulae or automata over infinite sequences of signals (ω-words), while implementations are represented as transducers. In the classical setting, the set of signals is assumed to be finite. In this paper, we do not make such an assumption and consider data ω-words instead, i.e., words over an infinite alphabet. In this context, we study specifications and implementations respectively given as automata and transducers extended with a finite set of registers. We consider different instances, depending on whether the specification is nondeterministic, universal or deterministic, and depending on whether the number of registers of the implementation is given (bounded synthesis) or not.In the unbounded setting, we show undecidability for both universal and non-deterministic specifications, while decidability is recovered in the deterministic case. In the bounded setting, undecidability still holds for non-deterministic specifications, but can be recovered by disallowing tests over input data. The generic technique we use to show the latter result allows us to reprove some known result, namely decidability of bounded synthesis for universal specifications.