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The Computational Tree Logic (CTL) has difficulty expressing some fairness properties. One solution is to instead use the syntactic extension Full CTL (CTL) or the more limited CTL+ extension, but either way the satisfiability problem then becomes doubly exponential. We discuss how the limit closure axiom of CTL makes representing fairness difficult. Removing this restriction results in Bundled CTL...
A number of procedures for checking the satisfiability of formulas in the important branching time temporal logic CTL have recently been proposed. This paper instead focuses on automatic generation and verification of rewrite rules for computation tree logics, shows that non-local computation tree logics can be used to verify rewrite rules, including for CTL, presents an efficient tableau for the...
The existing pure tableau technique for satisfiability checking BCTL* [Reynolds, M., A Tableau for Bundled CTL*, J Logic Computation 17 (2007), pp. 117–132. URL http://logcom.oxfordjournals.org/cgi/content/abstract/17/1/117] begins by constructing all possible colours. Traditional tableaux begin with a single root node, and only construct formulae that are derived from that root. These rooted tableaux...
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