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Algebra and Logic
Article . 1999 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Modal positive operators

Authors: Mardaev, S. I.;

Modal positive operators

Abstract

Each modal propositional formula naturally defines an operator on the subsets of a Kripke model. The author establishes the existence of least fixed points for partially ordered Kripke models that satisfy cofinality of infinite increasing chains and proves that they are definable by a formula. Previously, the author proved a similar result for Grzegorczyk's logic [see Algebra Logic 32, No. 5, 279-288 (1993), translation from Algebra Logika 32, No. 5, 519-536 (1993; Zbl 0815.03007)] and for the Gödel-Löb logic [see Algebra Logic 32, No. 6, 372-375 (1993), translation from Algebra Logika 32, No. 6, 683-689 (1993; Zbl 0815.03008)].

Keywords

partially ordered Kripke models, least fixed point, Modal logic (including the logic of norms), positive operator, modal logic

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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