Model Checking and Transitive-Closure Logic

@inproceedings{Immerman1997ModelCA,
  title={Model Checking and Transitive-Closure Logic},
  author={Neil Immerman and Moshe Y. Vardi},
  booktitle={CAV},
  year={1997}
}
We give a linear-time algorithm to translate any formula from computation tree logic (CTL or CTL*) into an equivalent expression in a variable-confined fragment of transitive-closure logic FO(TC). Traditionally, CTL and CTL* have been used to express queries for model checking and then translated into μ-calculus for symbolic evaluation. Evaluation of μ-calculus formulas is, however, complete for time polynomial in the (typically huge) number of states in the Kripke structure. Thus, this is… 

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