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Tarskian set constraints

By Robert Givan, David Mcallester, Carl Witty and Dexter KozenRobert Givan, David Mcallester, Carl Witty and Dexter Kozen


We investigate set constraints over set expressions with Tarskian functional and relational operations. Unlike the Herbrand constructor symbols used in recent set constraint formalisms, the meaning of a Tarskian function symbol is interpreted in an arbitrary first order structure. We show that satisfiability of Tarskian set constraints is decidable in nondeterministic doubly exponential time. We also give complexity results and open problems for various extensions and restrictions of the language

Topics: Set constraints, decision procedures, dynamic logic, mu-calculus
Year: 2014
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