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  2. Truth table - Wikipedia

    en.wikipedia.org/wiki/Truth_table

    A truth table is a structured representation that presents all possible combinations of truth values for the input variables of a Boolean function and their corresponding output values. A function f from A to F is a special relation , a subset of A×F, which simply means that f can be listed as a list of input-output pairs.

  3. Tautology (logic) - Wikipedia

    en.wikipedia.org/wiki/Tautology_(logic)

    The method of truth tables illustrated above is provably correct – the truth table for a tautology will end in a column with only T, while the truth table for a sentence that is not a tautology will contain a row whose final column is F, and the valuation corresponding to that row is a valuation that does not satisfy the sentence being tested.

  4. AND-OR-invert - Wikipedia

    en.wikipedia.org/wiki/AND-OR-Invert

    AND-OR-invert (AOI) logic and AOI gates are two-level compound (or complex) logic functions constructed from the combination of one or more AND gates followed by a NOR gate (equivalent to an OR gate through an Inverter gate, which is the "OI" part of "AOI").

  5. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    A truth table is a semantic proof method used to determine the truth value of a propositional logic expression in every possible scenario. [92] By exhaustively listing the truth values of its constituent atoms, a truth table can show whether a proposition is true, false, tautological, or contradictory. [93] See § Semantic proof via truth tables.

  6. Truth function - Wikipedia

    en.wikipedia.org/wiki/Truth_function

    In logic, a truth function [1] is a function that accepts truth values as input and produces a unique truth value as output. In other words: the input and output of a truth function are all truth values; a truth function will always output exactly one truth value, and inputting the same truth value(s) will always output the same truth value.

  7. Three-valued logic - Wikipedia

    en.wikipedia.org/wiki/Three-valued_logic

    It may be defined either by appending one of the two equivalent axioms (¬q → p) → (((p → q) → p) → p) or equivalently p∨(¬q)∨(p → q) to the axioms of intuitionistic logic, or by explicit truth tables for its operations. In particular, conjunction and disjunction are the same as for Kleene's and Łukasiewicz's logic, while the ...

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  9. Language, Proof and Logic - Wikipedia

    en.wikipedia.org/wiki/Language,_Proof_and_Logic

    Language, Proof and Logic is an educational software package, devised and written by Jon Barwise and John Etchemendy, geared to teaching formal logic through the use of a tight integration between a textbook (same name as the package) and four software programs, where three of them are logic related (Boole, Fitch and Tarski's World) and the other (Submit) is an internet-based grading service.

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