On the Proof Complexity of Deep Inference

Paola Bruscoli; Alessio Guglielmi

doi:10.1145/1462179.1462186

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arXiv · 0709.1201

On the Proof Complexity of Deep Inference

Paola Bruscoli·Alessio Guglielmi

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Abstract

We 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.

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BibTeX RIS

Paola Bruscoli, Alessio Guglielmi. 2009-04-19. On the Proof Complexity of Deep Inference. https://doi.org/10.1145/1462179.1462186

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