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  Priestley Duality for SHn-algebras and Applications to the Study of Kripke-style Models for SHn-logics

Sofronie-Stokkermans, V. (2000). Priestley Duality for SHn-algebras and Applications to the Study of Kripke-style Models for SHn-logics. Multiple-Valued Logic - an International Journal, 5(4), 281-305.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3458-E Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3459-C
Genre: Journal Article

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j-mvl-2000.ps (Publisher version), 338KB
 
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 Creators:
Sofronie-Stokkermans, Viorica1, 2, Author           
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1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              
2Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: The main goal of this paper is to show that the Priestley duality for SHn-algebras can help to establish a link between the algebraic and Kripke-style semantics for SHn-logics. We present a Priestley duality theorem for SHn-algebras, and note that the dual space of an SHn-algebra satisfies in particular the properties of a Kripke model for SHn-logics. We then show that Priestley duality can help in proving the soundness and completeness of SHn-logics with respect to the class of SHn-frames in a direct way, by using only soundness and completeness of SHn-logics with respect to the variety of SHn-algebras.

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Language(s): eng - English
 Dates: 2010-03-122000
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 519858
Other: Local-ID: C1256104005ECAFC-21F204D8729C7CC6412566F6003A0D1B-Sofronie1997a
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Title: Multiple-Valued Logic - an International Journal
Source Genre: Journal
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Pages: - Volume / Issue: 5 (4) Sequence Number: - Start / End Page: 281 - 305 Identifier: ISSN: 1023-6627