Quasipolynomial Normalisation in Deep Inference via Atomic Flows and Threshold Formulae
Identifieur interne : 003E87 ( Hal/Curation ); précédent : 003E86; suivant : 003E88Quasipolynomial Normalisation in Deep Inference via Atomic Flows and Threshold Formulae
Auteurs : Paola Bruscoli [France] ; Alessio Guglielmi [France] ; Tom Gundersen [France] ; Michel Parigot [France]Source :
Abstract
Jerábek showed that analytic propositional-logic deep-inference proofs can be constructed in quasipolynomial time from nonanalytic proofs. In this work, we improve on that as follows: 1) we significantly simplify the technique; 2) our normalisation procedure is direct, i.e., it is internal to deep inference. The paper is self-contained, and provides a starting point and a good deal of information for tackling the problem of whether a polynomial-time normalisation procedure exists.
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<front><div type="abstract" xml:lang="en">Jerábek showed that analytic propositional-logic deep-inference proofs can be constructed in quasipolynomial time from nonanalytic proofs. In this work, we improve on that as follows: 1) we significantly simplify the technique; 2) our normalisation procedure is direct, i.e., it is internal to deep inference. The paper is self-contained, and provides a starting point and a good deal of information for tackling the problem of whether a polynomial-time normalisation procedure exists.</div>
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