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A logical spreadsheet is a spreadsheet in which formulas take the form of logical constraints rather than function definitions.. In traditional spreadsheet systems, such as Excel, cells are partitioned into "directly specified" cells and "computed" cells and the formulas used to specify the values of computed cells are "functional", i.e. for every combination of values of the directly ...
negation: not propositional logic, Boolean algebra: The statement is true if and only if A is false. A slash placed through another operator is the same as placed in front. The prime symbol is placed after the negated thing, e.g. ′ [2]
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.
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.
The set of formulas (also called well-formed formulas [18] or WFFs) is inductively defined by the following rules: Predicate symbols. If P is an n-ary predicate symbol and t 1, ..., t n are terms then P(t 1,...,t n) is a formula. Equality. If the equality symbol is considered part of logic, and t 1 and t 2 are terms, then t 1 = t 2 is a formula ...
A statement or proposition that asserts both a statement and its negation, considered universally false in classical logic. contradictory Referring to a pair of statements or propositions where one is the negation of the other, such that they cannot both be true or both be false.
Obversion changes the quality (that is the affirmativity or negativity) of the statement and the predicate term. [10] For example, by obversion, a universal affirmative statement become a universal negative statement with the predicate term that is the class complement of the predicate term of the original universal affirmative statement.
It is also called propositional logic, [2] statement logic, [1] sentential calculus, [3] sentential logic, [4] [1] or sometimes zeroth-order logic. [ b ] [ 6 ] [ 7 ] [ 8 ] Sometimes, it is called first-order propositional logic [ 9 ] to contrast it with System F , but it should not be confused with first-order logic .