computational complexity, not-all-equal 3-satisfiability (NAE3SAT) is an NP-complete variant of the Boolean satisfiability problem, often used in proofs...

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

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

"A equals B". In this equality, A and B are distinguished by calling them left-hand side (LHS), and right-hand side (RHS). Two objects that are not equal...

complexity, one-in-three 3-SAT (also known variously as 1-in-3-SAT and exactly-1 3-SAT) is an NP-complete variant of the Boolean satisfiability problem. Given a...

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

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

NP-completeness of SAT (the Boolean satisfiability problem) and its two popular variants 1-in-3 SAT and not-all-equal 3SAT (often denoted by NAE-3SAT)....

generated from satisfiability instances would allow satisfiable instances to be distinguished from unsatisfiable instances. However, this is not possible unless...

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...

reduces the problem of circuit satisfiability on any circuit (including any formula) to the satisfiability problem on 3-CNF formulas. It was discovered...

Given an instance of this satisfiability problem, construct the following instance of GISDP. All intervals have a length of 3, so it is sufficient to represent...

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

both NP and co-NP, for example all problems in P or integer factorization. However, it is not known if the sets are equal, although inequality is thought...

ST-connectivity and 2-satisfiability. ST-connectivity asks, for nodes S and T in a directed graph, whether T is reachable from S. 2-satisfiability asks, given a...

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

of an NP-complete problem is the Boolean satisfiability problem: given a Boolean formula, is it satisfiable (is there a possible input for which the formula...

computational complexity theory that is a maximization version of the Boolean satisfiability problem 3SAT. In MAXEkSAT, each clause has exactly k literals, each...

property, there is the set of all and only the objects that have that property. Let R be the set of all sets that are not members of themselves. (This...

the solution of 2-satisfiability instances, below. Median graphs have a close connection to the solution sets of 2-satisfiability problems that can be...

: p. 48  Circuit satisfiability problem Conjunctive Boolean query: SR31  Cyclic ordering Exact cover problem. Remains NP-complete for 3-sets. Solvable in...

inefficient. For this reason, an incomplete satisfiability checker may be used instead. In practice, satisfiability is checked using methods that simplify...

problems. As an example, if the domain is binary and all constraints are binary, establishing satisfiability is a polynomial-time problem because this problem...

characterize complexity classes of decision problems. For example, the Boolean satisfiability problem is complete for the class NP of decision problems under polynomial-time...

Horn-satisfiability – given a set of Horn clauses, is there a variable assignment which satisfies them? This is P's version of the boolean satisfiability problem...

PP. PP also includes NP. To prove this, we show that the NP-complete satisfiability problem belongs to PP. Consider a probabilistic algorithm that, given...

P. (1995), "Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming", Journal of the ACM, 42 (6):...

approaches reduce the problem of solving a binary puzzle to a Boolean satisfiability problem and solving systems of polynomial equations over the binary...

median graphs have a dual structure as the set of solutions of a 2-satisfiability instance; Barthélemy & Constantin (1993) formulate this structure equivalently...