• computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) asks...
    52 KB (5,112 words) - 16:19, 16 June 2025
  • 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 (2,354 words) - 04:22, 13 May 2025
  • 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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  • The problem of determining whether a formula in propositional logic is satisfiable is decidable, and is known as the Boolean satisfiability problem, or...
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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) - 06:21, 30 December 2024
  • Thumbnail for NP-completeness
    between a problem in P and an NP-complete problem. For example, the 3-satisfiability problem, a restriction of the Boolean satisfiability problem, remains...
    30 KB (3,618 words) - 08:25, 21 May 2025
  • SAT solver (category Satisfiability problems)
    computer program which aims to solve the Boolean satisfiability problem (SAT). On input a formula over Boolean variables, such as "(x or y) and (x or not...
    30 KB (3,583 words) - 11:11, 29 May 2025
  • theory, the maximum satisfiability problem (MAX-SAT) is the problem of determining the maximum number of clauses, of a given Boolean formula in conjunctive...
    13 KB (1,509 words) - 02:36, 29 December 2024
  • 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 (7,784 words) - 06:53, 25 April 2025
  • period. The problem of determining whether there is any valuation that makes a formula true is the Boolean satisfiability problem; the problem of checking...
    23 KB (3,114 words) - 06:31, 30 March 2025
  • focuses on tackling these kinds of problems. Additionally, the Boolean satisfiability problem (SAT), satisfiability modulo theories (SMT), mixed integer...
    29 KB (3,364 words) - 17:29, 24 May 2025
  • 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) - 23:30, 22 May 2025
  • 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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  • 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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  • complexity theory, the quantified Boolean formula problem (QBF) is a generalization of the Boolean satisfiability problem in which both existential quantifiers...
    26 KB (3,846 words) - 15:34, 27 May 2025
  • 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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  • diagram Boolean function Boolean-valued function Boolean-valued model Boolean satisfiability problem Boolean differential calculus Indicator function (also...
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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...
    21 KB (2,784 words) - 09:34, 2 June 2025
  • 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...
    16 KB (2,467 words) - 20:47, 27 April 2025
  • 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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  • 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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  • the Boolean Pythagorean Triples problem via Cube-and-Conquer". In Creignou, Nadia; Le Berre, Daniel (eds.). Theory and Applications of Satisfiability Testing...
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  • logic, Horn-satisfiability, or HORNSAT, is the problem of deciding whether a given conjunction of propositional Horn clauses is satisfiable or not. Horn-satisfiability...
    10 KB (1,073 words) - 07:50, 6 February 2025
  • Thumbnail for Clique problem
    decision problem. Karp's NP-completeness proof is a many-one reduction from the Boolean satisfiability problem. It describes how to translate Boolean formulas...
    84 KB (9,905 words) - 20:49, 29 May 2025
  • Sharp-SAT (category Satisfiability problems)
    {TRUE}}.} #SAT is different from Boolean satisfiability problem (SAT), which asks if there exists a solution of Boolean formula. Instead, #SAT asks to enumerate...
    12 KB (1,495 words) - 03:29, 7 April 2025
  • Thumbnail for Decision problem
    problems are used in computational complexity theory to characterize complexity classes of decision problems. For example, the Boolean satisfiability...
    10 KB (1,246 words) - 09:36, 19 May 2025
  • selection is the Boolean satisfiability problem. Here, the portfolio of algorithms is a set of (complementary) SAT solvers, the instances are Boolean formulas...
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  • by the Functional Boolean Satisfiability Problem, FSAT for short. The problem, which is closely related to the SAT decision problem, can be formulated...
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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;...
    24 KB (2,626 words) - 06:37, 6 May 2025
  • 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