Label-free modular systems for classical and intuitionistic modal logics

Sonia Marin, Lutz Straßburger

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper we show for each of the modal axioms d, t, b, 4, and 5 an equivalent set of inference rules in a nested sequent system, such that, when added to the basic system for the modal logic K, the resulting system admits cut elimination. Then we show the same result also for intuitionistic modal logic. We achieve this by combining structural and logical rules.

Original languageEnglish
Title of host publication10th Conference on Advances in Modal Logic, AiML 2014
EditorsRajeev Gore, Barteld Kooi, Agi Kurucz
PublisherCollege Publications
Pages387-406
Number of pages20
ISBN (Electronic)9781848901513
Publication statusPublished - 1 Jan 2014
Externally publishedYes
Event10th Conference on Advances in Modal Logic, AiML 2014 - Groningen, Netherlands
Duration: 5 Aug 20148 Aug 2014

Publication series

NameAdvances in Modal Logic
Volume10

Conference

Conference10th Conference on Advances in Modal Logic, AiML 2014
Country/TerritoryNetherlands
CityGroningen
Period5/08/148/08/14

Keywords

  • Cut elimination
  • Hilbert axioms
  • Modal logic
  • Nested sequents

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