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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 https://doi.org/10.1...arrow_drop_down
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
https://doi.org/10.1007/978-3-...
Part of book or chapter of book . 2019 . Peer-reviewed
License: Springer TDM
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Reverse Mathematics and Computability Theory of Domain Theory

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 01 Jan 2019 English Publisher:Springer Berlin Heidelberg
Authors: Sam Sanders;

doi: 10.1007/978-3-662-59533-6_33

Reverse Mathematics and Computability Theory of Domain Theory

Abstract

This paper deals with the foundations of mathematics and computer science, domain theory in particular; the latter studies certain ordered sets, called domains, with close relations to topology. Conceptually speaking, domain theory provides a highly abstract and general formalisation of the intuitive notions ‘approximation’ and ‘convergence’. Thus, a major application in computer science is the semantics of programming languages. We study the following foundational questions: (Q1) Which axioms are needed to prove basic results in domain theory? (Q2) How hard it is to compute the objects in these basic results?

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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!
7
Top 10%
Average
Top 10%
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