Complexity of the two-variable fragment with counting quantifiers. (English) Zbl 1082.03007
Summary: 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.
MSC:
03B20 | Subsystems of classical logic (including intuitionistic logic) |
03B25 | Decidability of theories and sets of sentences |
03D15 | Complexity of computation (including implicit computational complexity) |
Keywords:
complexity; satisfiability; two-variable fragment of first-order logic; counting quantifiersReferences:
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