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  2. Three-valued logic - Wikipedia

    en.wikipedia.org/wiki/Three-valued_logic

    Three-valued logic. In logic, a three-valued logic (also trinary logic, trivalent, ternary, or trilean, [1] sometimes abbreviated 3VL) is any of several many-valued logic systems in which there are three truth values indicating true, false, and some third value. This is contrasted with the more commonly known bivalent logics (such as classical ...

  3. Truth table - Wikipedia

    en.wikipedia.org/wiki/Truth_table

    v. t. e. 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]

  4. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses logical operators such ...

  5. Tautology (logic) - Wikipedia

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

    Tautology (logic) In mathematical logic, a tautology (from Greek: ταυτολογία) is a formula or assertion that is true in every possible interpretation. An example is "x=y or x≠y". Similarly, "either the ball is green, or the ball is not green" is always true, regardless of the colour of the ball. The philosopher Ludwig Wittgenstein ...

  6. First-order logic - Wikipedia

    en.wikipedia.org/wiki/First-order_logic

    First-order logic —also called predicate logic, predicate calculus, quantificational logic —is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables, so that rather than ...

  7. Information retrieval - Wikipedia

    en.wikipedia.org/wiki/Information_retrieval

    Information retrieval is the science [1] of searching for information in a document, searching for documents themselves, and also searching for the metadata that describes data, and for databases of texts, images or sounds. Automated information retrieval systems are used to reduce what has been called information overload.

  8. Classical logic - Wikipedia

    en.wikipedia.org/wiki/Classical_logic

    Classical logic is a 19th and 20th-century innovation. The name does not refer to classical antiquity, which used the term logic of Aristotle. Classical logic was the reconciliation of Aristotle's logic, which dominated most of the last 2000 years, with the propositional Stoic logic. The two were sometimes seen as irreconcilable.

  9. Boolean expression - Wikipedia

    en.wikipedia.org/wiki/Boolean_expression

    Boolean expression. In computer science, a Boolean expression is an expression used in programming languages that produces a Boolean value when evaluated. A Boolean value is either true or false. A Boolean expression may be composed of a combination of the Boolean constants True/Yes or False/No, Boolean-typed variables, Boolean-valued operators ...