Boolean polynomial

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• Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …   Wikipedia

• Boolean satisfiability problem — For the concept in mathematical logic, see Satisfiability. 3SAT redirects here. For the Central European television network, see 3sat. In computer science, satisfiability (often written in all capitals or abbreviated SAT) is the problem of… …   Wikipedia

• Polynomial hierarchy — In computational complexity theory, the polynomial hierarchy is a hierarchy of complexity classes that generalize the classes P, NP and co NP to oracle machines.DefinitionsThere are multiple equivalent definitions of the classes of the polynomial …   Wikipedia

• Boolean ring — In mathematics, a Boolean ring R is a ring (with identity) for which x 2 = x for all x in R ; that is, R consists only of idempotent elements.Boolean rings are automatically commutative and of characteristic 2 (see below for proof). A Boolean… …   Wikipedia

• Boolean circuit — A Boolean circuit is a mathematical model of computation used in studying computational complexity theory. Boolean circuits are the main object of study in circuit complexity. A formal language can be decided by a family of Boolean circuits, one… …   Wikipedia

• True quantified Boolean formula — The language TQBF is a formal language in computer science that contains True Quantified Boolean Formulas. A fully quantified boolean formula is a formula in first order logic where every variable is quantified (or bound), using either… …   Wikipedia

• Zhegalkin polynomial — Zhegalkin (also Zegalkin or Gegalkine) polynomials form one of many possible representations of the operations of Boolean algebra. Introduced by the Russian mathematician I.I. Zhegalkin in 1927, they are the polynomials of ordinary high school… …   Wikipedia

• List of Boolean algebra topics — This is a list of topics around Boolean algebra and propositional logic. Contents 1 Articles with a wide scope and introductions 2 Boolean functions and connectives 3 Examples of Boolean algebras …   Wikipedia

• Two-element Boolean algebra — In mathematics and abstract algebra, the two element Boolean algebra is the Boolean algebra whose underlying set (or universe or carrier ) B is the Boolean domain. The elements of the Boolean domain are 1 and 0 by convention, so that B ={0,1}.… …   Wikipedia

• Cook–Levin theorem — In computational complexity theory, the Cook–Levin theorem, also known as Cook s theorem, states that the Boolean satisfiability problem is NP complete. That is, any problem in NP can be reduced in polynomial time by a deterministic Turing… …   Wikipedia

• Circuit complexity — In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according to the size or depth of Boolean circuits that compute them. A Boolean circuit with n input bits …   Wikipedia