Logical NOR

In boolean logic, logical nor or joint denial 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 of p and q are false. In grammar, nor is a coordinating conjunction.

The NOR operator is also known as Peirce's arrow — Charles Sanders Peirce introduced the symbol ↓ for it, and demonstrated that the logical NOR is completely expressible: by combining uses of the logical NOR it is possible to express any logical operation on two variables. Thus, as with its dual, the NAND operator (a.k.a. the Sheffer stroke — symbolized as either | or /), NOR can be used by itself, without any other logical operator, to constitute a logical formal system (making NOR functionally complete). It is also known as Quine's dagger (his symbol was †), the ampheck (from Greek αμφηκης, cutting both ways; compare amphi-) by Peirce, or "neither-nor".

One way of expressing p NOR q is $\overline{p \lor q}$ , where the symbol $\or$ signifies OR and the bar signifies the negation of the expression under it: in essence, simply $\neg(p \lor q)$ . Other ways of expressing p NOR q are Xpq, and $\overline{p + q}$ .

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Logical_NOR

Latest News for: logical nor

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The Times of India 10 Sep 2018

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Tax-Subsidized Corporations? Tucker Carlson and Bernie Sanders Get It Wrong

National Review 06 Sep 2018

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Creators Syndicate 06 Sep 2018

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Crypto News 06 Sep 2018

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Kavanaugh has probably set a record for the number of times he says "precedent" as ...

Democratic Underground 05 Sep 2018

for his rulings. But he's a cherry picking snake ... But the majority in the Agri Processor case rebutted his logic, including with the fact that Congress never expressly nor implicitly indicated that it intended with IRCA to end labor protections ... ....

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Kevin Williams: Nike's Colin Kaepernick campaign is genius

The World 05 Sep 2018

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Kevin Williams: Nike’s Colin Kaepernick campaign is genius

Post-Bulletin 05 Sep 2018

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Qubic status update September 3rd 2018

The Bitcoin News 03 Sep 2018

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The Guardian 02 Sep 2018

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Plans to abolish summer-time across Europe could stir up seasons of discontent in North

Irish Independent 01 Sep 2018

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