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Which single propositional connective is functionally com... | QuestionStock

Representative image for question: Which single propositional connective is functionally complete by itself and is known as the Sheffer stroke?

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Logic

Which single propositional connective is functionally complete by itself and is known as the Sheffer stroke?

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Which single propositional connective is functionally complete by itself and is known as the Sheffer stroke?

Options:

NAND (Sheffer stroke)
NOR
XOR
IMPLIES

Correct answer: NAND (Sheffer stroke)

Explanation: The Sheffer stroke (NAND), introduced by H. M. Sheffer in 1913, is functionally complete: using NAND alone you can express ∧, ∨, and ¬ in propositional logic.

Created 2026-03-10T18:49:56.970Z. Updated 2026-03-10T18:49:56.970Z.