| O. Kupferman and M. Y. Vardi, Module checking, Computer aided verification, Proceedings of the 8th international conference, Lecture Notes in Computer Science, no. 1102, Springer-Verlag, 1996, pp. 75--86. |
....of numbers, the size of descriptions of MA systems A(M;x) in (1) and (2) can be bounded by O(n log n) Then the required assertion is obtained by using an ATM M recognizing in space O(n) a set recognizable by a DTM in time 3 but not in time 2 . 4) Upper bound. It is well known (e.g. see [17, 5]) that propositional mu calculus model checking has time complexity upper bound O( jTSj j j) ad( for formulas with alternation depth ad( on transition systems T S: On the other hand, this problem belongs to NP co NP. These results are easily extended to first order mu calculus and ....
Bernholz, O., Vardi, M. Y., Wolper, P. An automata-theoretic approach to branching time model checking. Proc. Int. Workshop "Computer aided verification", Stanford, 1994 (LNCS).
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O. Kupferman and M. Y. Vardi, Module checking, Computer aided verification, Proceedings of the 8th international conference, Lecture Notes in Computer Science, no. 1102, Springer-Verlag, 1996, pp. 75--86.
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