meaning by providing additional axioms. The satisfiability modulo theories problem considers satisfiability of a formula with respect to a formal theory...

science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) is the...

problems, which are NP-complete, 2-satisfiability can be solved in polynomial time. Instances of the 2-satisfiability problem are typically expressed as...

Horn-satisfiability, or HORNSAT, is the problem of deciding whether a given set of propositional Horn clauses is satisfiable or not. Horn-satisfiability and...

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...

mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable. It generalizes the...

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...

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...

CircuitSAT can be reduced to the other satisfiability problems to prove their NP-completeness. The satisfiability of a circuit containing m{\displaystyle...

is a complete, backtracking-based search algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for...

a SAT solver is a computer program which aims to solve the Boolean satisfiability problem. On input a formula over Boolean variables, such as "(x or y)...

to be NP-complete by reducing Exact cover to Knapsack. Satisfiability: the boolean satisfiability problem for formulas in conjunctive normal form (often...

conflict-driven clause learning (CDCL) is an algorithm for solving the Boolean satisfiability problem (SAT). Given a Boolean formula, the SAT problem asks for an...

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...

whether the problem is satisfiable. Enforcing strong directional i {\displaystyle i} -consistency allows telling the satisfiability of problems that have...

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...

Planning as Satisfiability) is a method for automated planning. It converts the planning problem instance into an instance of the Boolean satisfiability problem...

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...

NP-complete problem. For example, the 3-satisfiability problem, a restriction of the Boolean satisfiability problem, remains NP-complete, whereas the...

high-performance Boolean satisfiability solvers." In 2012, Sakallah became an ACM Fellow "for algorithms for Boolean Satisfiability that advanced the state-of-the-art...

transformed mechanically into a Boolean satisfiability problem in polynomial time. The Boolean satisfiability problem is one of many NP-complete problems...

The Hamiltonian path problem is a topic discussed in the fields of complexity theory and graph theory. It decides if a directed or undirected graph, G...

from model theory, where M ⊨ ϕ {\displaystyle M\vDash \phi } denotes satisfiability in a model, i.e. "there is a suitable assignment of values in M {\displaystyle...

ring, a mathematical ring for which x2 = x for every element x Boolean satisfiability problem, the problem of determining if there exists an interpretation...

hints in the previous guesses).[better source needed] The Mastermind satisfiability problem is a decision problem that asks, "Given a set of guesses and...

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 formula...

that was formulated by Impagliazzo & Paturi (1999). It states that satisfiability of 3-CNF Boolean formulas cannot be solved in subexponential time, 2...

into Boolean satisfiability problems is called satplan. MaxWalkSAT is a variant of WalkSAT designed to solve the weighted satisfiability problem, in which...

Determining the satisfiability of a boolean formula in DNF is easy: such a formula is satisfiable if and only if it contains a satisfiable conjunction (one...

temperature, in meteorology Blood oxygen saturation, known as "sats" Boolean satisfiability problem (SAT, 2-SAT, 3-SAT) .SAT, a file extension for ACIS CAD files...