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arXiv.org e-Print Archive
Preprint . 2013
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Complex Systems
Article . 2013 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2013
License: CC BY
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https://dx.doi.org/10.25088/co...
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Graphic Lambda Calculus

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Dec 2013Embargo end date: 01 Jan 2013Publisher:Wolfram Research, Inc.Journal:Complex Systems, volume 22, pages 311-360 (issn: 0891-2513, Copyright policy )
Authors: Marius Buliga;

doi: 10.25088/complexsystems.22.4.311 , 10.48550/arxiv.1305.5786

arXiv: 1305.5786

Graphic Lambda Calculus

Abstract

We introduce and study graphic lambda calculus, a visual language which can be used for representing untyped lambda calculus, but it can also be used for computations in emergent algebras or for representing Reidemeister moves of locally planar tangle diagrams.

v2: Minor typos and figure corrections in section 3. v1: Massive revision of all previous descriptions of graphic lambda calculus, based on arXiv:1207.0332 and arXiv:1302.0778, with a lot of material added and harmonized exposition

Keywords

FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Mathematics - Geometric Topology, FOS: Mathematics, Geometric Topology (math.GT), Mathematics - Logic, Logic (math.LO), Logic in Computer Science (cs.LO)

  • BIP!
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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).
    		 3
    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).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
3
Average
Average
Average
Green