Quasipolynomial Normalisation in Deep Inference via Atomic Flows and Threshold Formulae

Computer Science – Computational Complexity

Scientific paper

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Scientific paper

Jerabek 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, \emph{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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