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arxiv: 1608.07703 · v2 · pith:PCFSW7VAnew · submitted 2016-08-27 · 🧮 math.LO · cs.LO

Unsound Inferences Make Proofs Shorter

classification 🧮 math.LO cs.LO
keywords inferencesproofsshorterunsoundcalculicalculusderivationsexamples
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We give examples of calculi that extend Gentzen's sequent calculus LK by unsound quantifier inferences in such a way that (i) derivations lead only to true sequents, and (ii) proofs therein are non-elementarily shorter than LK-proofs.

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