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Material nonimplication or abjunction (Latin ab = "away", junctio= "to join") is a term referring to a logic operation used in generic circuits and Boolean algebra. [1] It is the negation of material implication .
Download QR code; Print/export Download as PDF; Printable version; ... The NIMPLY gate is a digital logic gate that implements a material nonimplication. Symbols
The material conditional (also known as material implication) is an operation commonly used in logic. When the conditional symbol → {\displaystyle \rightarrow } is interpreted as material implication, a formula P → Q {\displaystyle P\rightarrow Q} is true unless P {\displaystyle P} is true and Q {\displaystyle Q} is false.
In propositional logic, material implication [1] [2] is a valid rule of replacement that allows a conditional statement to be replaced by a disjunction in which the antecedent is negated. The rule states that P implies Q is logically equivalent to not- P {\displaystyle P} or Q {\displaystyle Q} and that either form can replace the other in ...
material biconditional (material equivalence) if and only if, iff, xnor propositional logic, Boolean algebra: is true only if both A and B are false, or both A and B are true. Whether a symbol means a material biconditional or a logical equivalence, depends on the author’s style.
A subproject of WikiProject Logic for the purpose of expanding, and integrating the articles describing the Logical Operators.. There are 16 binary logical operators. The concept behind each of them is applied in various disparate fields: (logic, mathematics, grammar, computer science, linguistics).
While the Implication gate isn't functionally complete by itself, it is in conjunction with the constant 0 source. This can be shown via the following: := = =. Thus as the implication gate with the addition of the constant 0 source can create both the NOT gate and the OR gate, it can create the NOR gate, which is a universal gate.
Material implication may refer to: Material conditional , a logical connective Material implication (rule of inference) , a rule of replacement for some propositional logic