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Logical connectives can be used to link zero or more statements, so one can speak about n-ary logical connectives. The boolean constants True and False can be thought of as zero-ary operators. Negation is a unary connective, and so on.
In Boolean logic, logical NOR, [1] non-disjunction, or joint denial [1] is a truth-functional operator which produces a result that is the negation of logical or.That is, a sentence of the form (p NOR q) is true precisely when neither p nor q is true—i.e. when both p and q are false.
As a further example, negation can be defined in terms of NAND and can also be defined in terms of NOR. Algebraically, classical negation corresponds to complementation in a Boolean algebra, and intuitionistic negation to pseudocomplementation in a Heyting algebra. These algebras provide a semantics for classical and intuitionistic logic.
Examples: 0 or 0 = 0; 0 or 1 = 1; 1 or 0 = 1; 1 or 1 = 1; 1010 or 1100 = 1110; The or operator can be used to set bits in a bit field to 1, by or-ing the field with a constant field with the relevant bits set to 1. For example, x = x | 0b00000001 will force the final bit to 1, while leaving other bits unchanged. [citation needed]
A statement terminator defines the end of an individual statement. Languages that interpret the end of line to be the end of a statement are called "line-oriented" languages. "Line continuation" is a convention in line-oriented languages where the newline character could potentially be misinterpreted as a statement terminator.
The statement A ∨ B is true if A or B (or both) are true; if both are false, the statement is false. n ≥ 4 ∨ n ≤ 2 ⇔ n ≠ 3 when n is a natural number . ⊕
In the context of logic programming, this idea leads to the need to distinguish between two kinds of negation—negation as failure, discussed above, and strong negation, which is denoted here by . [2] The following example, illustrating the difference between the two kinds of negation, belongs to John McCarthy. A school bus may cross railway ...
Notation for the following examples: <statement> is any single statement (could be simple or compound). <sequence> is any sequence of zero or more <statements> Some programming languages provide a general way of grouping statements together, so that any single <statement> can be replaced by a group: Algol 60: begin <sequence> end