Parameterized Synthesis for Fragments of First-Order Logic over Data Words - Sorbonne Université
Communication Dans Un Congrès Année : 2020

Parameterized Synthesis for Fragments of First-Order Logic over Data Words

Nathalie Sznajder
Béatrice Berard
Mathieu Lehaut
  • Fonction : Auteur
  • PersonId : 1034982

Résumé

We study the synthesis problem for systems with a parameterized number of processes. As in the classical case due to Church, the system selects actions depending on the program run so far, with the aim of fulfilling a given specification. The difficulty is that, at the same time, the environment executes actions that the system cannot control. In contrast to the case of fixed, finite alphabets, here we consider the case of parameterized alphabets. An alphabet reflects the number of processes, which is static but unknown. The synthesis problem then asks whether there is a finite number of processes for which the system can satisfy the specification. This variant is already undecidable for very limited logics. Therefore, we consider a first-order logic without the order on word positions. We show that even in this restricted case synthesis is undecidable if both the system and the environment have access to all processes. On the other hand, we prove that the problem is decidable if the environment only has access to a bounded number of processes. In that case, there is even a cutoff meaning that it is enough to examine a bounded number of process architectures to solve the synthesis problem.
Fichier principal
Vignette du fichier
BBLS-FOSSACS20.pdf (1.93 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02490599 , version 1 (10-10-2024)

Identifiants

Citer

Nathalie Sznajder, Béatrice Berard, Benedikt Bollig, Mathieu Lehaut. Parameterized Synthesis for Fragments of First-Order Logic over Data Words. 23rd International Conference on Foundations of Software Science and Computation Structures (FoSSaCS'20), Apr 2020, Dublin, Ireland. pp.97-118, ⟨10.1007/978-3-030-45231-5_6⟩. ⟨hal-02490599⟩
176 Consultations
26 Téléchargements

Altmetric

Partager

More