
arXiv: cs/0601112
We show that the finite satisfiability problem for the guarded two-variable fragment with counting quantifiers is in EXPTIME. The method employed also yields a simple proof of a result recently obtained by Y. Kazakov, that the satisfiability problem for the guarded two-variable fragment with counting quantifiers is in EXPTIME.
20 pages, 3 figures
FOS: Computer and information sciences, Guarded fragment, Computer Science - Logic in Computer Science, Computer Science - Computational Complexity, Logic, Complexity, Counting quantifiers, Two-variable fragment, Computational Complexity (cs.CC), Logic in Computer Science (cs.LO)
FOS: Computer and information sciences, Guarded fragment, Computer Science - Logic in Computer Science, Computer Science - Computational Complexity, Logic, Complexity, Counting quantifiers, Two-variable fragment, Computational Complexity (cs.CC), Logic in Computer Science (cs.LO)
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