Definition:Logical NAND/Notational Variants
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Definition
Various symbols are encountered that denote the concept of logical NAND:
| Symbol | Origin | Known as |
|---|---|---|
| $p \mid q$ | Henry Sheffer | Sheffer stroke |
| $p \uparrow q$ | Also sometimes referred to as the Sheffer stroke | |
| $p \mathop {\mathsf {NAND} } q$ | ||
| $p \mathop / q$ | 1959: A.H. Basson and D.J. O'Connor: Introduction to Symbolic Logic | who refer to it as the stroke function |
| $p \mathop {\bar \curlywedge} q$ | Charles Sanders Peirce | Modified Ampheck |
The all-uppercase rendition NAND originates from the digital electronics industry, where, because NAND is Functionally Complete, this operator has a high importance.
Sources
- 1959: A.H. Basson and D.J. O'Connor: Introduction to Symbolic Logic (3rd ed.) ... (previous) ... (next): $\S 2.5$: Further Logical Constants
- 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 1$: Some mathematical language: Connectives