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DOI: 10.4230/LIPIcs.CSL.2016.6
URN: urn:nbn:de:0030-drops-65467
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6546/
Leiss, Hans
The Matrix Ring of a mu-Continuous Chomsky Algebra is mu-Continuous
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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}
}
| Keywords: | context-free language, fixed point operator, idempotent semiring, matrix ring, Chomsky algebra | |
| Seminar: | 25th EACSL Annual Conference on Computer Science Logic (CSL 2016) | |
| Issue date: | 2016 | |
| Date of publication: | 29.08.2016 |
