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Extensions to Barrington's M-program Model  (Make Corrections)  (27 citations)
François Bedard, François Lemieux, Pierre McKenzie



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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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Arithmetic Complexity, Kleene Closure, and Formal Power.. - Allender, Arvind, Mahajan (2003)   (Correct)
Uniform Characterizations of Complexity Classes - Vollmer (1999)   (Correct)
The Descriptive Complexity Approach to LOGCFL - Lautemann, McKenzie.. (1999)   (Correct)

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13:   Finite monoids and the fine structure of NC (context) - Barrington, Th'erien - 1988
9:   Bounded-width polynomial-size branching programs recognize exactly those languag.. (context) - Barrington - 1989
8:   The Complexity of Computing over Quasigroups - Caussinus, Lemieux - 1994

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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The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://wwwdim.uqac.uquebec.ca/~flemieux/publications.html):   More
Finite Loops Recognize Exactly the Regular Open Languages - Beaudry, Lemieux.. (1997)   (Correct)
Circuits and Expressions with Non-Associative Gates - Moore, Thérien..   (Correct)
Polyabelian loops and Boolean completeness - Lemieux, Moore, Thérien   (Correct)

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