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On transformations of constant depth propositional proofs

Arnold Beckmann Orcid Logo, Sam Buss

Annals of Pure and Applied Logic

Swansea University Author: Arnold Beckmann Orcid Logo

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DOI (Published version): 10.1016/j.apal.2019.05.002

Abstract

This paper studies the complexity of constant depth propositional proofs in the cedent and sequent calculus. We discuss the relationships between the size of tree-like proofs, the size of dag-like proofs, and the heights of proofs. The main result is to correct a proof construction in an earlier pap...

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Published in: Annals of Pure and Applied Logic
ISSN: 01680072
Published: 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa50215
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Abstract: This paper studies the complexity of constant depth propositional proofs in the cedent and sequent calculus. We discuss the relationships between the size of tree-like proofs, the size of dag-like proofs, and the heights of proofs. The main result is to correct a proof construction in an earlier paper about transformations from proofs with polylogarithmic height and constantly many formulas per cedent.
College: Faculty of Science and Engineering

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