XCB, the Last of the Shortest Single Axioms for the Classical Equivalential Calculus

Details XCB, the Last of the Shortest Single Axioms for the Classical Equivalential Calculus XCB, the Last of the Shortest Single Axioms for the Classical Equivalential Calculus

2002-11-13

arxiv.org/abs/cs/0211015v1

Computer Science

Logic in Computer Science

6 pages, no figures

Scientific paper

It has long been an open question whether the formula XCB = EpEEEpqErqr is,
with the rules of substitution and detachment, a single axiom for the classical
equivalential calculus. This paper answers that question affirmatively, thus
completing a search for all such eleven-symbol single axioms that began seventy
years ago.

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