Decision Procedures for Guarded Logics
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Different variants of guarded logics (a powerful generalization of modal logics) are surveyed and the recent decidability result for guarded fixed point logic (obtained in joint work with I. Walukiewicz) is explained. The exposition given here emphasizes the tree model property of guarded logics: every satisfiable sentence has a model of bounded tree width.
KeywordsModal Logic Decision Procedure Tree Decomposition Point Logic Kripke Structure
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- 2.J. VAN Benthem, Dynamic bits and pieces, ILLC research report, University of Amsterdam, 1997.Google Scholar
- 3.A. Emerson and C. Jutla, The complexity of tree automata and logics of programs, in Proc. 29th IEEE Symp. on Foundations of Computer Science, 1988, pp. 328–337.Google Scholar
- 4.J. Flum, On the (infinite) model theory of fixed-point logics, in Models, algebras, and proofs, X. Caicedo and C. Montenegro, eds., no. 2003 in Lecture Notes in Pure and Applied Mathematics Series, Marcel Dekker, 1999, pp. 67–75.Google Scholar
- 5.E. Grädel, On the restraining power of guards, Journal of Symbolic Logic. To appear.Google Scholar
- 6.E. Grädel and I. Walukiewicz, Guarded fixed point logic, in Proc. 14th IEEE Symp. on Logic in Computer Science, 1999.Google Scholar
- 9.B. Reed, Tree width and tangles: A new connectivity measure and some applications, in Surveys in Combinatorics, R. Bailey, ed., Cambridge University Press, 1997, pp. 87–162.Google Scholar
- 10.C. Stirling, Bisimulation, model checking and other games. Notes for the Mathfit instructional meeting on games and computation. Edinburgh, 1997.Google Scholar
- 11.M. Vardi, Why is modal logic so robustly decidable?, in Descriptive Complexity and Finite Models, N. Immerman and P. Kolaitis, eds., vol. 31 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, AMS, 1997, pp. 149–184.Google Scholar