biconditional statement

biconditional statement
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English-Russian dictionary of computer science and programming. 2013.

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  • biconditional — |bī+ noun Etymology: bi (I) + conditional 1. : a statement of a relation between a pair of propositions such that one is true only if the other is simultaneously true, or false if the other is simultaneously false 2. : the symbolic representation …   Useful english dictionary

  • Logical biconditional — In logic and mathematics, the logical biconditional (sometimes known as the material biconditional) is the logical connective of two statements asserting p if and only if q , where q is a hypothesis (or antecedent) and p is a conclusion (or… …   Wikipedia

  • Transposition (logic) — In the methods of deductive reasoning in classical logic, transposition is the rule of inference that permits one to infer from the truth of A implies B the truth of Not B implies not A , and conversely . [Brody, Bobuch A. Glossary of Logical… …   Wikipedia

  • If and only if — Iff redirects here. For other uses, see IFF (disambiguation). ↔ ⇔ ≡ Logical symbols representing iff. In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between… …   Wikipedia

  • Logical connective — This article is about connectives in classical logic. For connectors in natural languages, see discourse connective. For connectives and operators in other logics, see logical constant. For other logical symbols, see table of logic symbols. In… …   Wikipedia

  • Contraposition — For contraposition in the field of traditional logic, see Contraposition (traditional logic). For contraposition in the field of symbolic logic, see Transposition (logic). Contraposition is a logical relationship between two propositions, or… …   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

  • 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

  • Logical implication — In logic and mathematics, logical implication is a logical relation that holds between a set T of formulae and a formula B when every model (or interpretation or valuation) of T is also a model of B . In symbols,# T models B, # T Rightarrow B # T …   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

  • Fitch-style calculus — is a method for constructing formal proofs used in first order logic. It was invented by American logician Frederic Brenton Fitch. Fitch style proofs involve the atomic sentences of first order logic, which are arranged in premises, lemmas, and… …   Wikipedia

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