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Truth, Partial Logic and Infinitary Proof Systems

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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 \(\omega \)-rule.

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Authors and Affiliations

  1. Ludwig-Maximilians-Universität, München, Germany

    Martin Fischer & Norbert Gratzl

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  1. Martin Fischer
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  2. Norbert Gratzl
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Correspondence to Martin Fischer.

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Presented by Heinrich Wansing

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Fischer, M., Gratzl, N. Truth, Partial Logic and Infinitary Proof Systems. Stud Logica 106, 515–540 (2018). https://doi.org/10.1007/s11225-017-9751-y

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  • DOI: https://doi.org/10.1007/s11225-017-9751-y

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