Quantified propositional logic and the number of lines of tree-like proofs

Studia Logica 64 (3):315-321 (2000)
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Abstract

There is an exponential speed-up in the number of lines of the quantified propositional sequent calculus over Substitution Frege Systems, if one considers proofs as trees. Whether this is true also for the number of symbols, is still an open problem.

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The Lengths of Proofs.Toshiyasu Arai - 2000 - Bulletin of Symbolic Logic 6 (4):473-475.

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