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Electronic Proceedings in Theoretical Computer Science
Article . 2011 . Peer-reviewed
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Electronic Proceedings in Theoretical Computer Science
Article
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arXiv.org e-Print Archive
Preprint . 2011
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Electronic Proceedings in Theoretical Computer Science
Article . 2011
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https://dx.doi.org/10.48550/ar...
Article . 2011
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https://dx.doi.org/10.4204/ept...
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A new graphical calculus of proofs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object , Other literature type 11 Feb 2011Embargo end date: 01 Jan 2011 English Publisher:Open Publishing AssociationJournal:Electronic Proceedings in Theoretical Computer Science, volume 48, pages 69-84 (eissn: 2075-2180, Copyright policy )
Authors: Sandra Alves; Maribel Fernández; Ian Mackie;

doi: 10.4204/eptcs.48.8 , 10.48550/arxiv.1102.2655

arXiv: 1102.2655

A new graphical calculus of proofs

Abstract

We offer a simple graphical representation for proofs of intuitionistic logic, which is inspired by proof nets and interaction nets (two formalisms originating in linear logic). This graphical calculus of proofs inherits good features from each, but is not constrained by them. By the Curry-Howard isomorphism, the representation applies equally to the lambda calculus, offering an alternative diagrammatic representation of functional computations.

In Proceedings TERMGRAPH 2011, arXiv:1102.2268

Related Organizations
Keywords

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

  • BIP!
    Impact byBIP!
    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).
    		 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.
    		 Average
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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%
Average
Green
gold