• meaning by providing additional axioms. The satisfiability modulo theories problem considers satisfiability of a formula with respect to a formal theory...
    12 KB (1,500 words) - 23:20, 22 May 2025
  • science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) asks whether...
    51 KB (5,112 words) - 16:31, 30 May 2025
  • problems, which are NP-complete, 2-satisfiability can be solved in polynomial time. Instances of the 2-satisfiability problem are typically expressed as...
    64 KB (9,112 words) - 06:21, 30 December 2024
  • mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable. It generalizes the...
    46 KB (4,371 words) - 23:30, 22 May 2025
  • survey. The problem of Horn satisfiability is solvable in linear time. A polynomial-time algorithm for Horn satisfiability is recursive: A first termination...
    10 KB (1,073 words) - 07:50, 6 February 2025
  • Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete. That is, it is in NP, and any problem in NP...
    19 KB (2,354 words) - 04:22, 13 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...
    5 KB (641 words) - 00:53, 13 February 2025
  • to be NP-complete by reducing Exact cover to Knapsack. Satisfiability: the boolean satisfiability problem for formulas in conjunctive normal form (often...
    5 KB (491 words) - 04:30, 25 May 2025
  • literals, as in 2-satisfiability, we get the MAX-2SAT problem. If they are restricted to at most 3 literals per clause, as in 3-satisfiability, we get the MAX-3SAT...
    13 KB (1,509 words) - 02:36, 29 December 2024
  • CircuitSAT can be reduced to the other satisfiability problems to prove their NP-completeness. The satisfiability of a circuit containing m {\displaystyle...
    9 KB (1,183 words) - 22:46, 12 April 2025
  • Thumbnail for DPLL algorithm
    is a complete, backtracking-based search algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for...
    19 KB (2,559 words) - 20:28, 25 May 2025
  • same as the satisfiability of ∀ x ∃ y R ( x , y ) {\displaystyle \forall x\exists yR(x,y)} . At the meta-level, first-order satisfiability of a formula...
    11 KB (1,909 words) - 06:27, 25 July 2024
  • that was formulated by Impagliazzo & Paturi (1999). It states that satisfiability of 3-CNF Boolean formulas cannot be solved in subexponential time, 2...
    22 KB (3,061 words) - 17:17, 18 August 2024
  • SAT solver (category Satisfiability problems)
    a SAT solver is a computer program which aims to solve the Boolean satisfiability problem (SAT). On input a formula over Boolean variables, such as "(x...
    30 KB (3,583 words) - 11:11, 29 May 2025
  • Planning as Satisfiability) is a method for automated planning. It converts the planning problem instance into an instance of the Boolean satisfiability problem...
    4 KB (385 words) - 15:12, 19 February 2025
  • Domination analysis of an approximation algorithm is a way to estimate its performance, introduced by Glover and Punnen in 1997. Unlike the classical approximation...
    4 KB (512 words) - 22:19, 6 January 2022
  • Thumbnail for NP-completeness
    NP-complete problem. For example, the 3-satisfiability problem, a restriction of the Boolean satisfiability problem, remains NP-complete, whereas the...
    30 KB (3,618 words) - 08:25, 21 May 2025
  • transformed mechanically into a Boolean satisfiability problem in polynomial time. The Boolean satisfiability problem is one of many NP-complete problems...
    63 KB (7,784 words) - 06:53, 25 April 2025
  • whether there is any valuation that makes a formula true is the Boolean satisfiability problem; the problem of checking tautologies is equivalent to this problem...
    23 KB (3,114 words) - 06:31, 30 March 2025
  • True quantified Boolean formula (category Satisfiability problems)
    quantified Boolean formula problem (QBF) is a generalization of the Boolean satisfiability problem in which both existential quantifiers and universal quantifiers...
    26 KB (3,846 words) - 15:34, 27 May 2025
  • 1-in-3-SAT (category Satisfiability problems)
    variable twice in a clause. Boolean satisfiability problem Schaefer, Thomas J. (1978). "The complexity of satisfiability problems" (PDF). Proceedings of the...
    32 KB (855 words) - 04:27, 23 May 2025
  • of the Boolean satisfiability problem despite there being no known efficient algorithm in the general case. The Boolean satisfiability (or SAT) problem...
    11 KB (1,721 words) - 22:30, 20 March 2025
  • Thumbnail for Byte serving
    range is invalid, the server responds with a 416 Requested Range Not Satisfiable status code. Clients which request byte-serving might do so in cases...
    5 KB (698 words) - 01:41, 26 April 2025
  • a non-empty set of equations are known as equational theories. The satisfiability problem for free theories is solved by syntactic unification; algorithms...
    4 KB (410 words) - 15:10, 21 September 2024
  • Thumbnail for List of HTTP status codes
    the server requires that images use a different format. 416 Range Not Satisfiable The client has asked for a portion of the file (byte serving), but the...
    46 KB (5,625 words) - 11:57, 1 June 2025
  • the satisfiability of a Boolean formula in disjunctive normal form is easy: such a formula is satisfiable if and only if it contains a satisfiable conjunction...
    7 KB (849 words) - 16:01, 27 November 2024
  • In digital logic, a don't-care term (abbreviated DC, historically also known as redundancies, irrelevancies, optional entries, invalid combinations, vacuous...
    29 KB (2,327 words) - 20:56, 7 August 2024
  • not occur. since one way to check a CNF for satisfiability is to convert it into a DNF, the satisfiability of which can be checked in linear time 1 ≤ m...
    30 KB (3,490 words) - 17:59, 10 May 2025
  • whether the problem is satisfiable. Enforcing strong directional i {\displaystyle i} -consistency allows telling the satisfiability of problems that have...
    41 KB (5,931 words) - 13:47, 16 May 2025
  • into Boolean satisfiability problems is called satplan. MaxWalkSAT is a variant of WalkSAT designed to solve the weighted satisfiability problem, in which...
    5 KB (571 words) - 21:27, 3 July 2024