disjunction functor
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Disjunction and existence properties — In mathematical logic, the disjunction property is satisfied by a logic if whenever a sentence is a theorem, then either ϕ is a theorem, or ψ is a theorem. The existence property or witness property is satisfied by a logic if whenever a sentence… … Wikipedia
Predicate functor logic — In mathematical logic, predicate functor logic (PFL) is one of several ways to express first order logic (formerly known as predicate logic) by purely algebraic means, i.e., without quantified variables. PFL employs a small number of algebraic… … Wikipedia
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Free Boolean algebra — In abstract algebra, a branch of mathematics, a free Boolean algebra is a Boolean algebra 〈 B , F 〉, such that the set B (called the carrier ) has a subset whose elements are called generators. The generators satisfy the following properties:… … Wikipedia
Prolog — infobox programming language paradigm = Logic programming year = 1972 designer = Alain Colmerauer implementations = BProlog, ECLiPSe, Ciao Prolog, GNU Prolog, Quintus, SICStus, Strawberry, SWI Prolog, YAP Prolog, tuProlog dialects = ISO Prolog,… … Wikipedia
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
T-norm — In mathematics, a t norm (also T norm or, unabbreviated, triangular norm) is a kind of binary operation used in the framework of probabilistic metric spaces and in multi valued logic, specifically in fuzzy logic. A t norm generalizes intersection … Wikipedia
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mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… … Universalium
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First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… … Wikipedia
