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  2. Venn diagram - Wikipedia

    en.wikipedia.org/wiki/Venn_diagram

    Venn diagram as a truth table Venn diagrams correspond to truth tables for the propositions x ∈ A {\displaystyle x\in A} , x ∈ B {\displaystyle x\in B} , etc., in the sense that each region of Venn diagram corresponds to one row of the truth table.

  3. Truth table - Wikipedia

    en.wikipedia.org/wiki/Truth_table

    A truth table is a mathematical table used in logic ... are text equations and binary decision diagrams. ... be visualized using Venn diagrams.

  4. Logical biconditional - Wikipedia

    en.wikipedia.org/wiki/Logical_biconditional

    Venn diagram of (true part in red) In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement "if and only if" (often abbreviated as "iff " [1]), where is known as the antecedent, and the consequent.

  5. Exclusive or - Wikipedia

    en.wikipedia.org/wiki/Exclusive_or

    Each row of this binary Walsh matrix is the truth table of the variadic XOR of the arguments shown on the left. E.g. row AB corresponds to the 2-circle, and row ABC to the 3-circle Venn diagram shown above. (As in the Venn diagrams, white is false, and red is true.)

  6. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    The three Venn diagrams in the figure below represent respectively conjunction x ∧ y, disjunction x ∨ y, and complement ¬x. Figure 2. Venn diagrams for conjunction, disjunction, and complement. For conjunction, the region inside both circles is shaded to indicate that x ∧ y is 1 when both variables are 1.

  7. De Morgan's laws - Wikipedia

    en.wikipedia.org/wiki/De_Morgan's_laws

    De Morgan's laws represented with Venn diagrams.In each case, the resultant set is the set of all points in any shade of blue. In propositional logic and Boolean algebra, De Morgan's laws, [1] [2] [3] also known as De Morgan's theorem, [4] are a pair of transformation rules that are both valid rules of inference.

  8. Boolean function - Wikipedia

    en.wikipedia.org/wiki/Boolean_function

    Truth table: explicitly listing its value for all possible values of the arguments Marquand diagram: truth table values arranged in a two-dimensional grid (used in a Karnaugh map) Binary decision diagram, listing the truth table values at the bottom of a binary tree; Venn diagram, depicting the truth table values as a colouring of regions of ...

  9. Logical equality - Wikipedia

    en.wikipedia.org/wiki/Logical_equality

    The truth table of p EQ q (also written as p = q, p ↔ q, Epq, p ≡ q, or p == q) is as follows: The Venn diagram of A EQ B (red part is true) Logical equality

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