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arXiv.org e-Print Archive
Preprint . 2020
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2020
License: CC BY NC SA
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A lemma on closures and its application to modularity in logic programming semantics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2020Embargo end date: 01 Jan 2020Publisher:arXiv
Authors: Maher, Michael J.;

doi: 10.48550/arxiv.2008.00724

arXiv: 2008.00724

A lemma on closures and its application to modularity in logic programming semantics

Abstract

This note points out a lemma on closures of monotonic increasing functions and shows how it is applicable to decomposition and modularity for semantics defined as the least fixedpoint of some monotonic function. In particular it applies to numerous semantics of logic programs. An appendix addresses the fixedpoints of (possibly non-monotonic) functions that are sandwiched between functions with the same fixedpoints.

12 pages

Keywords

FOS: Computer and information sciences, Computer Science - Logic in Computer Science, D.3.1, 68N17, D.3.1; F.3.1, F.3.1, Logic in Computer Science (cs.LO)

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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!
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