License: 
Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2016.6
URN: urn:nbn:de:0030-drops-65467
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6546/
Leiss, Hans
The Matrix Ring of a mu-Continuous Chomsky Algebra is mu-Continuous
Abstract
In the course of providing an (infinitary) axiomatization of the equational theory of the class of context-free languages, Grathwohl, Kozen and Henglein (2013) have introduced the class of mu-continuous Chomsky algebras. These are idempotent semirings where least solutions for systems of polynomial inequations (i.e. context-free grammars) can be computed iteratively and where multiplication is continuous with respect to the least fixed point operator mu. We prove that the matrix ring of a mu-continuous Chomsky algebra also is a mu-continuous Chomsky algebra.
BibTeX - Entry
@InProceedings{leiss:LIPIcs:2016:6546,
author = {Hans Leiss},
title = {{The Matrix Ring of a mu-Continuous Chomsky Algebra is mu-Continuous}},
booktitle = {25th EACSL Annual Conference on Computer Science Logic (CSL 2016)},
pages = {6:1--6:15},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-022-4},
ISSN = {1868-8969},
year = {2016},
volume = {62},
editor = {Jean-Marc Talbot and Laurent Regnier},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2016/6546},
URN = {urn:nbn:de:0030-drops-65467},
doi = {10.4230/LIPIcs.CSL.2016.6},
annote = {Keywords: context-free language, fixed point operator, idempotent semiring, matrix ring, Chomsky algebra}
}
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Keywords: |
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context-free language, fixed point operator, idempotent semiring, matrix ring, Chomsky algebra |
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Collection: |
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25th EACSL Annual Conference on Computer Science Logic (CSL 2016) |
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Issue Date: |
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2016 |
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Date of publication: |
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29.08.2016 |
