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By N. G. de Bruijn (auth.), Harrie de Swart (eds.)

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Additional info for Automated Reasoning with Analytic Tableaux and Related Methods: International Conference, TABLEAUX’98 Oisterwijk, The Netherlands, May 5–8, 1998 Proceedings

Sample text

Based on this observation, they argued that the high complexity of linear-time model checking might still be acceptable for short formulas. Emerson and Lei [16] extended their result to show that formulas of the logic CTL*, which combines both branching-time and linear-time operators, could be checked with essentially the same complexity as formulas of linear temporal logic. Vardi and Wolper [29] showed how the model checking problem could be formulated in terms of automata, thus relating the model checking approach to the work of Kurshan.

2. R. M. L. McMillan, “Symbolic Model Checking: 1020 States and Beyond,” International Workshop on Formal Methods in VLSI Design, 1991. 3. E. Clarke, O. Grumberg, K. Hamaguchi, “Another Look at LTL Model Checking,” Proceeding 6-th Int. Conf. on Computer Aided Verification, Springer-Verlag, LNCS 818, ed. David L. Dill, pp. 415–427. 4. M. V. (North-Holland), ed. M. Claesen, IFIP, 1990, pp. 159– 168. 5. Randal E. Bryant, “Graph-Based Algorithms for Boolean Function Manipulation,” IEEE Transactions on Computers, Vol.

Last but not least, modal logics are shown useful to extend logic programming languages with new features [31,13,4]. In this paper we focus on a class of normal multimodal logics, called grammar logics, which are characterized by a set of logical axioms of the form: [t1 ] . . [tn ]ϕ ⊃ [s1 ] . . [sm ]ϕ (n > 0; m ≥ 0) (1) that we call inclusion axiom, where the ti ’s and sj ’s are modalities. This class includes some well-known modal systems such as K, K4, S4 and their multimodal versions. , every modal operator is not restricted to H.

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