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Unary negation
2013
Logical Methods in Computer Science
We study fragments of first-order logic and of least fixed point logic that allow only unary negation: negation of formulas with at most one free variable. These logics generalize many interesting known formalisms, including modal logic and the μ-calculus, as well as conjunctive queries and monadic Datalog. We show that satisfiability and finite satisfiability are decidable for both fragments, and we pinpoint the complexity of satisfiability, finite satisfiability, and model checking. We also
doi:10.2168/lmcs-9(3:25)2013
fatcat:r6qnfeehqncspnigfcarq2zocy