formula satisfiability

  • 1Satisfiability Modulo Theories — (SMT) problem is a decision problem for logical formulas with respect to combinations of background theories expressed in classical first order logic with equality. Examples of theories typically used in computer science are the theory of real… …

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  • 22-satisfiability — In computer science, 2 satisfiability (abbreviated as 2 SAT or just 2SAT) is the problem of determining whether a collection of two valued (Boolean or binary) variables with constraints on pairs of variables can be assigned values satisfying all… …

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  • 3Boolean satisfiability problem — For the concept in mathematical logic, see Satisfiability. 3SAT redirects here. For the Central European television network, see 3sat. In computer science, satisfiability (often written in all capitals or abbreviated SAT) is the problem of… …

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  • 4Horn-satisfiability — In formal logic, Horn satisfiability, or HORNSAT, is the problem of deciding whether a given set of propositional Horn clauses is satisfiable.A Horn clause is a clause with at most one positive literal, called the head of the clause, and any… …

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  • 5Maximum satisfiability problem — In computational complexity theory, the Maximum Satisfiability problem (MAX SAT) is the problem of determining the maximum number of clauses, of a given Boolean formula, that can be satisfied by some assignment. It is an FNP generalization of SAT …

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  • 6True quantified Boolean formula — The language TQBF is a formal language in computer science that contains True Quantified Boolean Formulas. A fully quantified boolean formula is a formula in first order logic where every variable is quantified (or bound), using either… …

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  • 7PCP theorem — In computational complexity theory, the PCP theorem states that every decision problem in the NP complexity class has probabilistically checkable proofs (proofs that can be checked by a randomized algorithm) of constant query complexity and… …

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  • 8Method of analytic tableaux — A graphical representation of a partially built propositional tableau In proof theory, the semantic tableau (or truth tree) is a decision procedure for sentential and related logics, and a proof procedure for formulas of first order logic. The… …

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  • 9Skolem normal form — A formula of first order logic is in Skolem normal form (named after Thoralf Skolem) if it is in conjunctive prenex normal form with only universal first order quantifiers. Every first order formula can be converted into Skolem normal form while… …

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  • 10Dependence logic — is a logical formalism, created by Jouko Väänänen[1], which adds dependence atoms to the language of first order logic. A dependence atom is an expression of the form , where are terms, and corresponds to the statement that the value of is… …

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