Antichains: alternative algorithms for LTL satisfiability and model-checking

  • Authors:
  • M. De Wulf;L. Doyen;N. Maquet;J. F. Raskin

  • Affiliations:
  • CS, Université Libre de Bruxelles, Belgium;I&C, Ecole Polytechnique Féédérale de Lausanne, Switzerland;CS, Université Libre de Bruxelles, Belgium;CS, Université Libre de Bruxelles, Belgium

  • Venue:
  • TACAS'08/ETAPS'08 Proceedings of the Theory and practice of software, 14th international conference on Tools and algorithms for the construction and analysis of systems
  • Year:
  • 2008

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Abstract

The linear temporal logic (LTL) was introduced by Pnueli as a logic to express properties over the computations of reactive systems. Since this seminal work, there have been a large number of papers that have studied deductive systems and algorithmic methods to reason about the correctness of reactive programs with regard to LTL properties. In this paper, we propose new efficient algorithms for LTL satisfiability and model-checking. Our algorithms do not construct nondeterministic automata from LTL formulas but work directly with alternating automata using efficient exploration techniques based on antichains.