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Analytic Non-Labelled Proof-Systems for Hybrid Logic: Overview and a couple of striking facts
Bulletin of the Section of Logic 51 (2):143-162 (2022)
Abstract
This paper is about non-labelled proof-systems for hybrid logic, that is, proofsystems where arbitrary formulas can occur, not just satisfaction statements. We give an overview of such proof-systems, focusing on analytic systems: Natural deduction systems, Gentzen sequent systems and tableau systems. We point out major results and we discuss a couple of striking facts, in particular that nonlabelled hybrid-logical natural deduction systems are analytic, but this is not proved in the usual way via step-by-step normalization of derivations.Author's Profile
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References found in this work
On an intuitionistic modal logic.G. M. Bierman & V. C. V. de Paiva - 2000 - Studia Logica 65 (3):383-416.
Hybrid-Logical Reasoning in the Smarties and Sally-Anne Tasks.Torben Braüner - 2014 - Journal of Logic, Language and Information 23 (4):415-439.
A proof–theoretic study of the correspondence of hybrid logic and classical logic.H. Kushida & M. Okada - 2006 - Journal of Logic, Language and Information 16 (1):35-61.
Two natural deduction systems for hybrid logic: A comparison. [REVIEW]Torben Braüner - 2004 - Journal of Logic, Language and Information 13 (1):1-23.
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