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IJCAI
1997
13 years 8 months ago
Equational Reasoning using AC Constraints
Unfailing completion is a commonly used technique for equational reasoning. For equational problems with associative and commutative functions, unfailing completion often generate...
David A. Plaisted, Yunshan Zhu
ACS
2006
13 years 7 months ago
Fully Coprime Comodules and Fully Coprime Corings
Prime objects were defined as generalization of simple objects in the categories of rings (modules). In this paper we introduce and investigate what turns out to be a suitable gen...
Jawad Y. Abuhlail
ACS
2005
13 years 7 months ago
Symmetric Brace Algebras
We develop a symmetric analog of brace algebras and discuss the relation of such algebras to L-algebras. We give an alternate proof that the category of symmetric brace algebras is...
Tom Lada, Martin Markl
ACS
2004
13 years 7 months ago
Galois Theory and a New Homotopy Double Groupoid of a Map of Spaces
The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new hom...
Ronald Brown, George Janelidze
ACS
2004
13 years 7 months ago
Simplicial Cohomology with Coefficients in Symmetric Categorical Groups
In this paper we introduce and study a cohomology theory {Hn(-, A)} for simplicial sets with coefficients in symmetric categorical groups A. We associate to a symmetric categorical...
Pilar Carrasco, Juan Martínez-Moreno