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Graphical Sequent Calculi for Modal Logics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object , Other literature type 06 Mar 2017Embargo end date: 01 Jan 2017 English Publisher:Open Publishing AssociationJournal:Electronic Proceedings in Theoretical Computer Science, volume 243, pages 91-103 (eissn: 2075-2180, Copyright policy )
Authors: Minghui Ma; Ahti-Veikko Pietarinen;

doi: 10.4204/eptcs.243.7 , 10.48550/arxiv.1703.02197

arXiv: 1703.02197

Graphical Sequent Calculi for Modal Logics

Abstract

The syntax of modal graphs is defined in terms of the continuous cut and broken cut following Charles Peirce's notation in the gamma part of his graphical logic of existential graphs. Graphical calculi for normal modal logics are developed based on a reformulation of the graphical calculus for classical propositional logic. These graphical calculi are of the nature of deep inference. The relationship between graphical calculi and sequent calculi for modal logics is shown by translations between graphs and modal formulas.

In Proceedings M4M9 2017, arXiv:1703.01736

Related Organizations
Keywords

FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Electronic computers. Computer science, QA1-939, F.4.1, QA75.5-76.95, Mathematics, Logic in Computer Science (cs.LO)

  • BIP!
    Impact byBIP!
    selected citations
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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).
    		 7
    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
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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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!
7
Average
Top 10%
Top 10%
Green
gold