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unsatisfiable set

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  • Method 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… …   Wikipedia

  • Herbrand interpretation — In mathematical logic, a Herbrand interpretation is an interpretation in which all constants and function symbols are assigned very simple meanings. Specifically, every constant is interpreted as itself, and every function symbol is interpreted… …   Wikipedia

  • Local consistency — In constraint satisfaction, local consistency conditions are properties of constraint satisfaction problems related to the consistency of subsets of variables or constraints. Several such conditions exist, the most known being node consistency,… …   Wikipedia

  • Constraint logic programming — Programming paradigms Agent oriented Automata based Component based Flow based Pipelined Concatenative Concurrent computing …   Wikipedia

  • Complexity of constraint satisfaction — The complexity of constraint satisfaction is the application of computational complexity theory on constraint satisfaction. It has mainly been studied for discriminating between tractable and intractable classes of constraint satisfaction… …   Wikipedia

  • First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …   Wikipedia

  • Valiant-Vazirani theorem — The Valiant Vazirani Theorem was proven by Leslie Valiant and Vijay Vazirani in their paper titled NP is as easy as detecting unique solutions published in 1986. The theorem states that if there is a polynomial time algorithm for UNIQUE SAT, then …   Wikipedia

  • Resolution (logic) — In mathematical logic and automated theorem proving, resolution is a rule of inference leading to a refutation theorem proving technique for sentences in propositional logic and first order logic. In other words, iteratively applying the… …   Wikipedia

  • Model theory — This article is about the mathematical discipline. For the informal notion in other parts of mathematics and science, see Mathematical model. In mathematics, model theory is the study of (classes of) mathematical structures (e.g. groups, fields,… …   Wikipedia

  • Boolean 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… …   Wikipedia

  • 2-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… …   Wikipedia

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