On the Proof Complexity of Deep Inference

dc.creatorBruscoli, Paola
dc.creatorGuglielmi, Alessio
dc.date2007-09-08
dc.date2009-04-19
dc.date.accessioned2026-07-07T13:05:20Z
dc.date.available2026-07-07T13:05:20Z
dc.descriptionWe obtain two results about the proof complexity of deep inference: 1) deep-inference proof systems are as powerful as Frege ones, even when both are extended with the Tseitin extension rule or with the substitution rule; 2) there are analytic deep-inference proof systems that exhibit an exponential speed-up over analytic Gentzen proof systems that they polynomially simulate.
dc.descriptionMinor improvements over the published version. Always updated version at <http://cs.bath.ac.uk/ag/p/PrComplDI.pdf>
dc.identifierhttps://arxiv.org/abs/0709.1201
dc.identifierhttp://arxiv.org/abs/0709.1201
dc.identifierACM Transactions on Computational Logic 10 (2:14) 2009, pp. 1-34
dc.identifierdoi:10.1145/1462179.1462186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227456
dc.subjectComputational Complexity
dc.subjectLogic in Computer Science
dc.subjectLogic
dc.subjectF.2.2; F.4.1
dc.titleOn the Proof Complexity of Deep Inference
dc.typetext

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