(Enter summary)
Abstract: . Barrington's "polynomial length program over a monoid" is a model of computation which has
been studied intensively in connection with the structure of the complexity class NC
1
[Ba86, BaTh87, BaTh88,
McTh89, Pe89]. Here two extensions of the model are considered. First, with the use of non associative structures
(hence groupoids) instead of (associative) monoids, polynomial length program characterizations of complexity
classes TC
0
, NL, and LOGCFL, as well as new characterizations of... (Update)
Context of citations to this paper: More
.... word languages: indeed the nite groupoids recognize exactly the class of the context free languages (a result found independently in [10] and [3]) under the following convention. A language L A is recognized by groupoid G i there exist a monoid homomorphism : A and a...
.... context free, and every contextfree language is a homomorphic pre image of a groupoid word problem (this result is credited to Valiant in [BLM93]) The following de nition is due to B edard, Lemieux, and McKenzie [BLM93] De nition 7. A groupoidal quanti er is a Lindstr om...
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BibTeX entry: (Update)
F. B'edard, F. Lemieux and P.McKenzie, "Extensions to Barrington's M-program model", Theoretical Computer Science 107,199331--61 http://citeseer.ist.psu.edu/399668.html More
@misc{ b'edard-extensions,
author = "F. B'edard and F. Lemieux and P. McKenzie",
title = "Extensions to Barrington's M-program model",
text = "F. B'edard, F. Lemieux and P.McKenzie, Extensions to Barrington's M-program
model, Theoretical Computer Science 107,199331--61",
url = "citeseer.ist.psu.edu/399668.html" }
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