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  2. Truth table - Wikipedia

    en.wikipedia.org/wiki/Truth_table

    A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. [1]

  3. Binary decision diagram - Wikipedia

    en.wikipedia.org/wiki/Binary_decision_diagram

    To find the value of the Boolean function for a given assignment of (Boolean) values to the variables, we start at the reference edge, which points to the BDD's root, and follow the path that is defined by the given variable values (following a low edge if the variable that labels a node equals FALSE, and following the high edge if the variable ...

  4. List of Boolean algebra topics - Wikipedia

    en.wikipedia.org/wiki/List_of_Boolean_algebra_topics

    Boolean function; Boolean-valued function; Boolean-valued model; Boolean satisfiability problem; Boolean differential calculus; Indicator function (also called the characteristic function, but that term is used in probability theory for a different concept)

  5. 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 Ɓukasiewicz's logic, while the ...

  6. Boolean algebras canonically defined - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebras...

    Boolean algebra is a mathematically rich branch of abstract algebra. Stanford Encyclopaedia of Philosophy defines Boolean algebra as 'the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation.' [1] Just as group theory deals with groups, and linear algebra with vector spaces, Boolean algebras are models of the ...

  7. Boolean algebra (structure) - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra_(structure)

    A truth assignment in propositional calculus is then a Boolean algebra homomorphism from this algebra to the two-element Boolean algebra. Given any linearly ordered set L with a least element, the interval algebra is the smallest Boolean algebra of subsets of L containing all of the half-open intervals [ a , b ) such that a is in L and b is ...

  8. Logic alphabet - Wikipedia

    en.wikipedia.org/wiki/Logic_alphabet

    In the extreme examples, the symbol for tautology is a X (stops in all four squares), while the symbol for contradiction is an O (passing through all squares without stopping). The square matrix corresponding to each binary truth function, as well as its corresponding letter shape, are displayed in the table below.

  9. 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.

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