A tableau-based decision procedure for CTL*.

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Bibliographic Details
Title: A tableau-based decision procedure for CTL*.
Authors: Reynolds, Mark1 mark@csse.uwa.edu.au
Source: Formal Aspects of Computing. Nov2011, Vol. 23 Issue 6, p739-779. 41p.
Subjects: Computer software termination, Computing platforms, Subroutines (Computer programs), Reasoning, Ring networks
Abstract: We present a sound, complete and implementable tableau method for deciding satisfiability of 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 easily 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 medium-sized formulas and construction of small models for them. A straightforward subroutine is given for determining when looping allows successful branch termination, but much needed further development is left as future work. In particular, a more general repetition prevention mechanism is needed to speed up the task of tableau construction. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We present a sound, complete and implementable tableau method for deciding satisfiability of 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 easily 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 medium-sized formulas and construction of small models for them. A straightforward subroutine is given for determining when looping allows successful branch termination, but much needed further development is left as future work. In particular, a more general repetition prevention mechanism is needed to speed up the task of tableau construction. [ABSTRACT FROM AUTHOR]
ISSN:09345043
DOI:10.1007/s00165-011-0193-4