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  2. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    Unlike first-order logic, propositional logic does not deal with non-logical objects, predicates about them, or quantifiers. However, all the machinery of propositional logic is included in first-order logic and higher-order logics. In this sense, propositional logic is the foundation of first-order logic and higher-order logic.

  3. WFF 'N PROOF - Wikipedia

    en.wikipedia.org/wiki/WFF_'N_PROOF

    As marketed in the 1960s WFF 'N PROOF was a series of 20 games of increasing complexity, varying with the logical rules and methods available. All players must be able to recognize a " well-formed formula " (WFF in Ɓukasiewicz notation ), to assemble dice values into valid statements (WFFs) and to apply the rules of logical inference so as to ...

  4. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    propositional logic, Boolean algebra The statement ¬ A {\displaystyle \lnot A} is true if and only if A is false. A slash placed through another operator is the same as ¬ {\displaystyle \neg } placed in front.

  5. Automated theorem proving - Wikipedia

    en.wikipedia.org/wiki/Automated_theorem_proving

    E is a high-performance prover for full first-order logic, but built on a purely equational calculus, originally developed in the automated reasoning group of Technical University of Munich under the direction of Wolfgang Bibel, and now at Baden-Württemberg Cooperative State University in Stuttgart.

  6. List of axiomatic systems in logic - Wikipedia

    en.wikipedia.org/wiki/List_of_axiomatic_systems...

    Classical propositional calculus is the standard propositional logic. Its intended semantics is bivalent and its main property is that it is strongly complete, otherwise said that whenever a formula semantically follows from a set of premises, it also follows from that set syntactically. Many different equivalent complete axiom systems have ...

  7. Well-formed formula - Wikipedia

    en.wikipedia.org/wiki/Well-formed_formula

    WFF is part of an esoteric pun used in the name of the academic game "WFF 'N PROOF: The Game of Modern Logic", by Layman Allen, [21] developed while he was at Yale Law School (he was later a professor at the University of Michigan). The suite of games is designed to teach the principles of symbolic logic to children (in Polish notation). [22]

  8. Commutativity of conjunction - Wikipedia

    en.wikipedia.org/wiki/Commutativity_of_conjunction

    In propositional logic, the commutativity of conjunction is a valid argument form and truth-functional tautology. It is considered to be a law of classical logic. It is the principle that the conjuncts of a logical conjunction may switch places with each other, while preserving the truth-value of the resulting proposition. [1]

  9. Import–export (logic) - Wikipedia

    en.wikipedia.org/wiki/Import–export_(logic)

    In propositional logic, import-export is a name given to the propositional form of Exportation: (()) (()).This already holds in minimal logic, and thus also in classical logic, where the conditional operator "" is taken as material implication.