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Church-Rooser property and homology of monoids

Published online by Cambridge University Press:  04 March 2009

Yves Lafont  and
Alain Prouté
Yves Lafont
Affiliation:
Laboratorie d'Informatique, Ecole Normale Supérieure. (URA 1327 du CNRS)
Alain Prouté
Affiliation:
UFR de Mathématiques, Université de Paris 7. (URA 212 Du CNRS).
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Abstract

We present a result of C.C. Squier relating two topics:

— the canonical rewriting systems, which have been widely studied by computer scientists as a tool for solving word problems,

— the homology of groups (more generally of monoids), which belongs to the core of pure mathematics, on the borders of algebra and topology.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 1 , Issue 3 , November 1991 , pp. 297 - 326
Copyright
Copyright © Cambridge University Press 1991

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