Analytic Non-Labelled Proof-Systems for Hybrid Logic: Overview and a couple of striking facts

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Abstract

This paper is about non-labelled proof-systems for hybrid logic, that is, proof-systems 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 non-labelled hybrid-logical natural deduction systems are analytic, but this is not proved in the usual way via step-by-step normalization of derivations.
OriginalsprogEngelsk
TidsskriftBulletin of the Section of Logic
Vol/bind51
Udgave nummer2
Sider (fra-til)143-162
Antal sider20
ISSN0138-0680
DOI
StatusUdgivet - jun. 2022

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