A Tableau for CTL*

  • Authors:
  • Mark Reynolds

  • Affiliations:
  • The University of Western Australia, Perth, Australia

  • Venue:
  • FM '09 Proceedings of the 2nd World Congress on Formal Methods
  • Year:
  • 2009

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Abstract

We present a sound, complete and relatively straightforward tableau method for deciding valid formulas in the propositional version of computation tree logic CTL*. This is the first such tableau. CTL* is an exceptionally important temporal logic with applications from hardware design to agent reasoning but there is no easy automated reasoning approach to CTL*. The tableau here is a traditional tree-shaped or top-down style tableau and affords the possibility of reasonably quick decisions on the satisfiability of sufficiently short formulas and construction of models for them. Handling looping is subtle.