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Cut elimination for the unified logic
Annals of Pure and Applied Logic, 1993 The Unified Logic, \(\text{\textbf{LU}}\), is introduced by \textit{J.-Y. Girard} [ibid. 59, 201-217 (1993; Zbl 0781.03044)]. Its sequent is of the form \(\Gamma;\Gamma'\lvdash \Delta';\Delta\), where the outer zone \(\langle\Gamma,\Delta\rangle\) has the linear logic maintenance, and the inner \(\langle\Gamma',\Delta'\rangle\) the classical one. Among
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The cut elimination theorem in the unary second order language [PDF]
, 1966 Mitsuru Yasuhara
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Pattern matching as cut elimination
Theoretical Computer Science, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cerrito, Serenella, Kesner, Delia
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A note on cut-elimination for classical propositional logic [PDF]
, 2021 Gabriele Pulcini
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Elimination and cut-elimination in multiplicative linear logic [PDF]
, 2022 Daniel Murfet, William Troiani
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Cut-elimination for $\omega_{1}$
, 2018 In this paper we calibrate the strength of the soundness of a Kripke-Platek set theory with the axioms of Infinity and \Pi_{1}-Collection with the assumption that`there exists an uncountable regular ordinal' in terms of the existence of ordinals.
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Confluence as a Cut Elimination Property
, 2003 The goal of this note is to compare two notions, one coming from the theory of rewrite systems and the other from proof theory: confluence and cut elimination. We show that to each rewrite system on terms, we can associate a logical system: asymmetric deduction modulo this rewrite system and that the confluence property of the rewrite system is ...
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Elimination of structure controlled highwall failures at an open cut coal mine [PDF]
, 2020 Jianping Li
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A Sequent Calculus for Modelling Interferences
, 2007 A logic calculus is presented that is a conservative extension of linear logic. The motivation beneath this work concerns lazy evaluation, true concurrency and interferences in proof search.
Fouqueré, Christophe
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