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Coherence for modalities

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jul 2011Embargo end date: 01 Jan 2008 English Publisher:Elsevier BVJournal:Journal of Pure and Applied Algebra, volume 215, pages 1,606-1,628 (issn: 0022-4049, Copyright policy )
Authors: Zoran Petric; Kosta Došen;

doi: 10.1016/j.jpaa.2010.09.014 , 10.48550/arxiv.0809.2494

arXiv: http://arxiv.org/abs/0809.2494

Coherence for modalities

Abstract

Positive modalities in systems in the vicinity of S4 and S5 are investigated in terms of categorial proof theory. Coherence and maximality results are demonstrated, and connections with mixed distributive laws and Frobenius algebras are exhibited.

43 pages, minor additions

Keywords

Algebra and Number Theory, FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT), Mathematics - Logic, 03B45, 03G30, 18C15, Logic (math.LO)

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    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).
    		 4
    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.
    		 Average
    influence
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citations
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!
4
Average
Average
Average
Green
hybrid