• the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) is the problem of...
    52 KB (5,326 words) - 08:55, 3 November 2024
  • Cook's theorem, states that the Boolean satisfiability problem is NP-complete. That is, it is in NP, and any problem in NP can be reduced in polynomial...
    19 KB (2,355 words) - 22:12, 5 November 2024
  • The problem of determining whether a formula in propositional logic is satisfiable is decidable, and is known as the Boolean satisfiability problem, or...
    12 KB (1,500 words) - 18:45, 26 November 2022
  • theory, the maximum satisfiability problem (MAX-SAT) is the problem of determining the maximum number of clauses, of a given Boolean formula in conjunctive...
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  • element x Boolean satisfiability problem, the problem of determining if there exists an interpretation that satisfies a given Boolean formula Boolean prime...
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  • the general Boolean satisfiability problem, which can involve constraints on more than two variables, and of constraint satisfaction problems, which can...
    64 KB (9,112 words) - 19:20, 13 December 2023
  • logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable. It generalizes the Boolean satisfiability...
    46 KB (4,371 words) - 16:13, 13 October 2024
  • circuit satisfiability problem (also known as CIRCUIT-SAT, CircuitSAT, CSAT, etc.) is the decision problem of determining whether a given Boolean circuit...
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  • of any problem in NP can be transformed mechanically into a Boolean satisfiability problem in polynomial time. The Boolean satisfiability problem is one...
    63 KB (7,782 words) - 18:22, 10 November 2024
  • focuses on tackling these kinds of problems. Additionally, the Boolean satisfiability problem (SAT), satisfiability modulo theories (SMT), mixed integer...
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  • complexity theory, the quantified Boolean formula problem (QBF) is a generalization of the Boolean satisfiability problem in which both existential quantifiers...
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  • Conflict-driven clause learning (category Satisfiability problems)
    (CDCL) is an algorithm for solving the Boolean satisfiability problem (SAT). Given a Boolean formula, the SAT problem asks for an assignment of variables...
    10 KB (1,328 words) - 08:01, 8 August 2024
  • computational complexity, not-all-equal 3-satisfiability (NAE3SAT) is an NP-complete variant of the Boolean satisfiability problem, often used in proofs of NP-completeness...
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  • SAT solver (category Satisfiability problems)
    a computer program which aims to solve the Boolean satisfiability problem. On input a formula over Boolean variables, such as "(x or y) and (x or not...
    29 KB (3,580 words) - 02:22, 21 November 2024
  • Problems", Richard Karp used Stephen Cook's 1971 theorem that the boolean satisfiability problem is NP-complete (also called the Cook-Levin theorem) to show...
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    between a problem in P and an NP-complete problem. For example, the 3-satisfiability problem, a restriction of the Boolean satisfiability problem, remains...
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  • the Boolean satisfiability problem despite there being no known efficient algorithm in the general case. The Boolean satisfiability (or SAT) problem can...
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  • Horn-satisfiability, or HORNSAT, is the problem of deciding whether a given set of propositional Horn clauses is satisfiable or not. Horn-satisfiability and...
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  • period. The problem of determining whether there is any valuation that makes a formula true is the Boolean satisfiability problem; the problem of checking...
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  • diagram Boolean function Boolean-valued function Boolean-valued model Boolean satisfiability problem Boolean differential calculus Indicator function (also...
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  • Thumbnail for Circuit Value Problem
    The Boolean Formula Value Problem is complete for NC1. The problem is closely related to the Boolean Satisfiability Problem which is complete for NP and...
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    decision problem. Karp's NP-completeness proof is a many-one reduction from the Boolean satisfiability problem. It describes how to translate Boolean formulas...
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  • information theory Boolean ring commutativity of a boolean ring Boolean satisfiability problem NP-completeness of the Boolean satisfiability problem Cantor's diagonal...
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  • Thumbnail for NP (complexity)
    NP (complexity) (redirect from NP-problem)
    with 1 < f < k and f dividing n? Every NP-complete problem is in NP. The Boolean satisfiability problem (SAT), where we want to know whether or not a certain...
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  • Thumbnail for Decision problem
    problems are used in computational complexity theory to characterize complexity classes of decision problems. For example, the Boolean satisfiability...
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  • common example of an NP problem not known to be in P is the Boolean satisfiability problem. Most mathematicians and computer scientists expect that P ≠ NP;...
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  • true is called the Boolean satisfiability problem (SAT), and is of importance to theoretical computer science, being the first problem shown to be NP-complete...
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    NP-hardness (redirect from NP-Hard Problem)
    the halting problem is NP-hard but not NP-complete. For example, the Boolean satisfiability problem can be reduced to the halting problem by transforming...
    8 KB (1,082 words) - 12:35, 14 October 2024
  • conditions under which classes of constrained Boolean satisfiability problems cannot be in NPI. Some problems that are considered good candidates for being...
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  • Schaefer's dichotomy theorem include the NP-completeness of SAT (the Boolean satisfiability problem) and its two popular variants 1-in-3 SAT and not-all-equal 3SAT...
    12 KB (1,786 words) - 02:51, 14 October 2024