On distributed program specification and synthesis in architectures with cycles

  • Authors:
  • Julien Bernet;David Janin

  • Affiliations:
  • LaBRI, Université de Bordeaux I, Talence Cedex, France;LaBRI, Université de Bordeaux I, Talence Cedex, France

  • Venue:
  • FORTE'06 Proceedings of the 26th IFIP WG 6.1 international conference on Formal Techniques for Networked and Distributed Systems
  • Year:
  • 2006

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Abstract

In this paper, we consider discrete distributed synthesis pro- blems, as defined by Pnueli and Rosner[17], on possibly cyclic architectures with zero-delay semantics and global specifications. We describe a uniform (and complete) translation of these problems into distributed games problems. We prove the correctness of this translation and we also obtain, in this setting, a characterization of distributed architectures with decidable synthesis problems. It shall be noted that, as opposed to former approaches, zero-delay semantics requires a specific treatment for modeling instantaneous value propagation. Moreover, cyclic dependencies with zero-delay semantics involve equations with potentially many solutions. Accordingly, several variants of the distributed synthesis problem are proposed and studied.