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  2. SQL syntax - Wikipedia

    en.wikipedia.org/wiki/SQL_syntax

    In SELECT statements SQL returns only results for which the WHERE clause returns a value of True; i.e., it excludes results with values of False and also excludes those whose value is Unknown. Along with True and False, the Unknown resulting from direct comparisons with Null thus brings a fragment of three-valued logic to SQL.

  3. Null (SQL) - Wikipedia

    en.wikipedia.org/wiki/Null_(SQL)

    The rules governing SQL three-valued logic are shown in the tables below (p and q represent logical states)" [10] The truth tables SQL uses for AND, OR, and NOT correspond to a common fragment of the Kleene and Łukasiewicz three-valued logic (which differ in their definition of implication, however, SQL defines no such operation).

  4. Conjunctive query - Wikipedia

    en.wikipedia.org/wiki/Conjunctive_Query

    Conjunctive queries without distinguished variables are called boolean conjunctive queries.Conjunctive queries where all variables are distinguished (and no variables are bound) are called equi-join queries, [1] because they are the equivalent, in the relational calculus, of the equi-join queries in the relational algebra (when selecting all columns of the result).

  5. Truth table - Wikipedia

    en.wikipedia.org/wiki/Truth_table

    Logical negation is an operation on one logical value, typically the value of a proposition, that produces a value of true if its operand is false and a value of false if its operand is true. The truth table for NOT p (also written as ¬p , Np , Fpq , or ~p ) is as follows:

  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 (¬qp) → (((pq) → p) → p) or equivalently p∨(¬q)∨(pq) 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. If and only if - Wikipedia

    en.wikipedia.org/wiki/If_and_only_if

    In writing, phrases commonly used as alternatives to P "if and only if" Q include: Q is necessary and sufficient for P, for P it is necessary and sufficient that Q, P is equivalent (or materially equivalent) to Q (compare with material implication), P precisely if Q, P precisely (or exactly) when Q, P exactly in case Q, and P just in case Q. [3]

  8. Material implication (rule of inference) - Wikipedia

    en.wikipedia.org/wiki/Material_implication_(rule...

    The rule states that P implies Q is logically equivalent to not-or and that either form can replace the other in logical proofs. In other words, if P {\displaystyle P} is true, then Q {\displaystyle Q} must also be true, while if Q {\displaystyle Q} is not true, then P {\displaystyle P} cannot be true either; additionally, when P {\displaystyle ...

  9. Relational model - Wikipedia

    en.wikipedia.org/wiki/Relational_model

    An attribute value is the entry in a specific column and row. A database relvar (relation variable) is commonly known as a base table. The heading of its assigned value at any time is as specified in the table declaration and its body is that most recently assigned to it by an update operator (typically, INSERT, UPDATE, or DELETE). The heading ...