paper

Complexity of the Two-Variable Fragment with (Binary-Coded) Counting Quantifiers

arXiv:cs/0411031 · doi:10.1007/s10849-005-5791-1

Abstract

We show that the satisfiability and finite satisfiability problems for the two-variable fragment of first-order logic with counting quantifiers are both in NEXPTIME, even when counting quantifiers are coded succinctly.

24 pages, 1 pstex_t figure

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