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Label-free Modular Systems for Classical and Intuitionistic Modal Logics

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.
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https://hal.inria.fr/hal-01092148
Contributor : Lutz Straßburger <>
Submitted on : Monday, December 8, 2014 - 1:37:04 PM
Last modification on : Thursday, January 7, 2021 - 3:40:14 PM
Long-term archiving on: : Saturday, April 15, 2017 - 4:15:06 AM

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  • HAL Id : hal-01092148, version 1

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Sonia Marin, Lutz Straßburger. Label-free Modular Systems for Classical and Intuitionistic Modal Logics. Advances in Modal Logic 10, Aug 2014, Groningen, Netherlands. ⟨hal-01092148⟩

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