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On modal logic of deductive closure

On modal logic of deductive closure
On modal logic of deductive closure
A new modal logic D is introduced. It describes properties of provability by interpreting modality as a deductive closure operator on sets of formulas. Logic D is proven to be decidable and complete with respect to this semantics.
Deductive closure, Logic of provability, Modal logic
0168-0072
218-224
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0

Naumov, Pavel (2006) On modal logic of deductive closure. Annals of Pure and Applied Logic, 141 (1-2), 218-224. (doi:10.1016/j.apal.2005.11.002).

Record type: Article

Abstract

A new modal logic D is introduced. It describes properties of provability by interpreting modality as a deductive closure operator on sets of formulas. Logic D is proven to be decidable and complete with respect to this semantics.

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More information

Published date: August 2006
Keywords: Deductive closure, Logic of provability, Modal logic

Identifiers

Local EPrints ID: 475889
URI: http://eprints.soton.ac.uk/id/eprint/475889
ISSN: 0168-0072
PURE UUID: a5795683-0292-4626-aba2-7faf596af274
ORCID for Pavel Naumov: ORCID iD orcid.org/0000-0003-1687-045X

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Date deposited: 29 Mar 2023 17:14
Last modified: 17 Mar 2024 04:10

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Author: Pavel Naumov ORCID iD

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