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tautology theorem

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  • Tautology (logic) — In propositional logic, a tautology (from the Greek word ταυτολογία) is a propositional formula that is true under any possible valuation (also called a truth assignment or an interpretation) of its propositional variables. For example, the… …   Wikipedia

  • Coase theorem — In law and economics, the Coase theorem (pronounced /ˈkoʊs/), attributed to Ronald Coase, describes the economic efficiency of an economic allocation or outcome in the presence of externalities. The theorem states that if trade in an externality… …   Wikipedia

  • Deduction theorem — In mathematical logic, the deduction theorem is a metatheorem of first order logic.[1] It is a formalization of the common proof technique in which an implication A → B is proved by assuming A and then proving B from this assumption.… …   Wikipedia

  • Herbrand's theorem — is a fundamental result of mathematical logic obtained by Jacques Herbrand (1930). [J. Herbrand: Recherches sur la theorie de la demonstration. Travaux de la Societe des Sciences et des Lettres de Varsovie, Class III, Sciences Mathematiques et… …   Wikipedia

  • Cut-elimination theorem — The cut elimination theorem (or Gentzen s Hauptsatz) is the central result establishing the significance of the sequent calculus. It was originally proved by Gerhard Gentzen 1934 in his landmark paper Investigations in Logical Deduction for the… …   Wikipedia

  • Vampire theorem prover — Vampire is an automatic theorem prover for first order classical logic developed in the Computer Science Department of the University of Manchester by Prof. Andrei Voronkov previously together with Dr. Alexandre Riazanov. It has won the world cup …   Wikipedia

  • Tau (theorem prover) — Tau is a robust and general purpose, interactive (live on the web), user configurable automated theorem prover for first order predicate logic with equality. Tau proves both theorems and arguments expressed in unrestricted first order notation in …   Wikipedia

  • Outline of logic — The following outline is provided as an overview of and topical guide to logic: Logic – formal science of using reason, considered a branch of both philosophy and mathematics. Logic investigates and classifies the structure of statements and… …   Wikipedia

  • Natarajan Shankar — Born India Fields Computer Science Institutions …   Wikipedia

  • Boolean algebra — This article discusses the subject referred to as Boolean algebra. For the mathematical objects, see Boolean algebra (structure). Boolean algebra, as developed in 1854 by George Boole in his book An Investigation of the Laws of Thought,[1] is a… …   Wikipedia

  • Propositional calculus — In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… …   Wikipedia

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