Proof-theoretic analysis of the quantified argument calculus

Review of Symbolic Logic 12 (4):607-636 (2019)
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Abstract

This article investigates the proof theory of the Quantified Argument Calculus as developed and systematically studied by Hanoch Ben-Yami [3, 4]. Ben-Yami makes use of natural deduction, we, however, have chosen a sequent calculus presentation, which allows for the proofs of a multitude of significant meta-theoretic results with minor modifications to the Gentzen’s original framework, i.e., LK. As will be made clear in course of the article LK-Quarc will enjoy cut elimination and its corollaries.

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Edi Pavlović
Ludwig Maximilians Universität, München

References found in this work

Introduction to Metamathematics.Ann Singleterry Ferebee - 1968 - Journal of Symbolic Logic 33 (2):290-291.
Proof Theory.Gaisi Takeuti - 1990 - Studia Logica 49 (1):160-161.
Free Logics.Karel Lambert - 2017 - In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Oxford, UK: Blackwell. pp. 258–279.
The Quantified Argument Calculus.Hanoch Ben-Yami - 2014 - Review of Symbolic Logic 7 (1):120-146.

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