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  2. Boolean satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Boolean_satisfiability_problem

    The problem of deciding the satisfiability of a given conjunction of Horn clauses is called Horn-satisfiability, or HORN-SAT. It can be solved in polynomial time by a single step of the unit propagation algorithm, which produces the single minimal model of the set of Horn clauses (w.r.t. the set of literals assigned to TRUE).

  3. List of NP-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_NP-complete_problems

    Boolean satisfiability problem (SAT). [2] [3]: LO1 There are many variations that are also NP-complete. An important variant is where each clause has exactly three literals (3SAT), since it is used in the proof of many other NP-completeness results. [3]: p. 48 Circuit satisfiability problem; Conjunctive Boolean query [3]: SR31

  4. NP-completeness - Wikipedia

    en.wikipedia.org/wiki/NP-completeness

    There is often only a small difference between a problem in P and an NP-complete problem. For example, the 3-satisfiability problem, a restriction of the Boolean satisfiability problem, remains NP-complete, whereas the slightly more restricted 2-satisfiability problem is in P (specifically, it is NL-complete), but the slightly more general max ...

  5. WalkSAT - Wikipedia

    en.wikipedia.org/wiki/WalkSAT

    MaxWalkSAT is a variant of WalkSAT designed to solve the weighted satisfiability problem, in which each clause has associated with a weight, and the goal is to find an assignment—one which may or may not satisfy the entire formula—that maximizes the total weight of the clauses satisfied by that assignment.

  6. NP (complexity) - Wikipedia

    en.wikipedia.org/wiki/NP_(complexity)

    Euler diagram for P, NP, NP-complete, and NP-hard set of problems. Under the assumption that P ≠ NP, the existence of problems within NP but outside both P and NP-complete was established by Ladner. [1] In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems.

  7. Circuit satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Circuit_satisfiability_problem

    The circuit on the left is satisfiable but the circuit on the right is not. In theoretical computer science, the circuit satisfiability problem (also known as CIRCUIT-SAT, CircuitSAT, CSAT, etc.) is the decision problem of determining whether a given Boolean circuit has an assignment of its inputs that makes the output true. [1]

  8. Satisfiability - Wikipedia

    en.wikipedia.org/wiki/Satisfiability

    A problem related to satisfiability is that of finite satisfiability, which is the question of determining whether a formula admits a finite model that makes it true. For a logic that has the finite model property , the problems of satisfiability and finite satisfiability coincide, as a formula of that logic has a model if and only if it has a ...

  9. Cook–Levin theorem - Wikipedia

    en.wikipedia.org/wiki/Cook–Levin_theorem

    A decision problem is in NP if it can be decided by a non-deterministic Turing machine in polynomial time.. An instance of the Boolean satisfiability problem is a Boolean expression that combines Boolean variables using Boolean operators.