Arnold Beckmann and Sam Buss
"On Transformations of Constant Depth Propositional Proofs"
Annals of Pure and Applied Logic 170, 10 (2019) 1176-1187.
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.
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