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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. File:Logical connectives Hasse diagram.svg - Wikipedia

    en.wikipedia.org/wiki/File:Logical_connectives...

    Printable versions: File:Logical connectives Hasse diagram.pdf; File:Logical connectives table and Hasse diagram.pdf; See also: File:Elements of P^4(empty set) in Hasse diagram.svg; File:Conectivas lógicas 2.svg

  4. Logic alphabet - Wikipedia

    en.wikipedia.org/wiki/Logic_alphabet

    The idea behind the logic alphabet is to first represent the sixteen binary truth functions in the form of a square matrix rather than the more familiar tabular format seen in the table above, and then to assign a letter shape to each of these matrices. Letter shapes are derived from the distribution of Ts in the matrix.

  5. 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").

  6. 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 ...

  7. 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.

  8. Logical equivalence - Wikipedia

    en.wikipedia.org/wiki/Logical_equivalence

    In particular, the truth value of can change from one model to another. On the other hand, the claim that two formulas are logically equivalent is a statement in metalanguage, which expresses a relationship between two statements and . The statements are logically equivalent if, in every model, they have the same truth value.

  9. Truth-table reduction - Wikipedia

    en.wikipedia.org/wiki/Truth-table_reduction

    In contrast, a truth-table reduction or a weak truth-table reduction must present all of its (finitely many) oracle queries at the same time. In a truth-table reduction, the reduction also gives a boolean formula (a truth table) that, when given the answers to the queries, will produce the final answer of the reduction.

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