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  2. SAT solver - Wikipedia

    en.wikipedia.org/wiki/SAT_solver

    In computer science and formal methods, 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) and (x or not y)", a SAT solver outputs whether the formula is satisfiable, meaning that there are possible values of x and y which make the formula true, or unsatisfiable, meaning that there are no such ...

  3. Boolean satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Boolean_satisfiability_problem

    UNAMBIGUOUS-SAT is the name given to the satisfiability problem when the input is restricted to formulas having at most one satisfying assignment. The problem is also called USAT. [24] A solving algorithm for UNAMBIGUOUS-SAT is allowed to exhibit any behavior, including endless looping, on a formula having several satisfying assignments.

  4. Satisfiability modulo theories - Wikipedia

    en.wikipedia.org/wiki/Satisfiability_modulo_theories

    In computer science and mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable.It generalizes the Boolean satisfiability problem (SAT) to more complex formulas involving real numbers, integers, and/or various data structures such as lists, arrays, bit vectors, and strings.

  5. MAX-3SAT - Wikipedia

    en.wikipedia.org/wiki/MAX-3SAT

    If the first of these two equations were equated to "=1" as usual, one could find a proof π by solving a system of linear equations (see MAX-3LIN-EQN) implying P = NP. If z ∈ L, a fraction ≥ (1 − ε) of clauses are satisfied. If z ∉ L, then for a (1/2 − ε) fraction of R, 1/4 clauses are contradicted.

  6. Maximum satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Maximum_satisfiability_problem

    The soft satisfiability problem (soft-SAT), given a set of SAT problems, asks for the maximum number of those problems which can be satisfied by any assignment. [16] The minimum satisfiability problem. The MAX-SAT problem can be extended to the case where the variables of the constraint satisfaction problem belong to the set

  7. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    The first natural problem proven to be NP-complete was the Boolean satisfiability problem, also known as SAT. As noted above, this is the Cook–Levin theorem; its proof that satisfiability is NP-complete contains technical details about Turing machines as they relate to the definition of NP.

  8. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    For nonlinear systems, which cannot be modeled with linear algebra, it is often used for dealing with first-order approximations, using the fact that the differential of a multivariate function at a point is the linear map that best approximates the function near that point.

  9. Boolean satisfiability algorithm heuristics - Wikipedia

    en.wikipedia.org/wiki/Boolean_satisfiability...

    Partial Max-SAT can be solved by first considering all of the hard clauses and solving them as an instance of SAT. The total maximum (or minimum) weight of the soft clauses can be evaluated given the variable assignment necessary to satisfy the hard clauses and trying to optimize the free variables (the variables that the satisfaction of the ...

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