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polyadic algebra

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  • Cylindric algebra — The notion of cylindric algebra, invented by Alfred Tarski, arises naturally in the algebraization of first order logic with equality. This is comparable to the role Boolean algebras play for propositional logic. Indeed, cylindric algebras are… …   Wikipedia

  • Monadic Boolean algebra — In abstract algebra, a monadic Boolean algebra is an algebraic structure with signature 〈A, ·, +, , 0, 1, ∃〉 of type 〈2,2,1,0,0,1〉, where 〈A, ·, +, , 0, 1〉 is a Boolean algebra. The prefixed unary operator ∃ denotes the existential quantifier,… …   Wikipedia

  • Information algebra — Classical information theory goes back to Claude Shannon. It is a theory of information transmission, looking at communication and storage. However, it has not been considered so far that information comes from different sources and that it is… …   Wikipedia

  • Paul Halmos — Halmos redirects here. For the mathematical symbol, see Tombstone (typography). Paul Halmos Born March 3, 1916 …   Wikipedia

  • List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

  • Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   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

  • Quantification — has two distinct meanings.In mathematics and empirical science, it refers to human acts, known as counting and measuring that map human sense observations and experiences into members of some set of numbers. Quantification in this sense is… …   Wikipedia

  • 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

  • Quasigroup — In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that division is always possible. Quasigroups differ from groups mainly in that they need not be associative. A quasigroup with …   Wikipedia

  • Pi-calculus — In theoretical computer science, the pi calculus is a process calculus originally developed by Robin Milner, Joachim Parrow and David Walker as a continuation of work on the process calculus CCS (Calculus of Communicating Systems). The aim of the …   Wikipedia

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