Truth, Partial Logic and Infinitary Proof Systems

Studia Logica 106 (3):515-540 (2018)
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Abstract

In this paper we apply proof theoretic methods used for classical systems in order to obtain upper bounds for systems in partial logic. We focus on a truth predicate interpreted in a Kripke style way via strong Kleene; whereas the aim is to connect harmoniously the partial version of Kripke–Feferman with its intended semantics. The method we apply is based on infinitary proof systems containing an ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\omega $$\end{document}-rule.

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Martin Fischer
Ludwig Maximilians Universität, München

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On the Costs of Classical Logic.Luca Castaldo - 2021 - Erkenntnis 88 (3):1157-1188.

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