Bounded synthesis

  • Authors:
  • Sven Schewe;Bernd Finkbeiner

  • Affiliations:
  • Universität des Saarlandes, Saarbrücken, Germany;Universität des Saarlandes, Saarbrücken, Germany

  • Venue:
  • ATVA'07 Proceedings of the 5th international conference on Automated technology for verification and analysis
  • Year:
  • 2007

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Abstract

The bounded synthesis problem is to construct an implementation that satisfies a given temporal specification and a given bound on the number of states. We present a solution to the bounded synthesis problem for linear-time temporal logic (LTL), based on a novel emptiness-preserving translation from LTL to safety tree automata. For distributed architectures, where standard unbounded synthesis is in general undecidable, we show that bounded synthesis can be reduced to a SAT problem. As a result, we obtain an effective algorithm for the bounded synthesis from LTL specifications in arbitrary architectures. By iteratively increasing the bound, our construction can also be used as a semi-decision procedure for the unbounded synthesis problem.