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» Decidability and Complexity in Automatic Monoids
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FCT
2001
Springer
13 years 9 months ago
Divisibility Monoids: Presentation, Word Problem, and Rational Languages
Abstract. We present three results on divisibility monoids. These divisibility monoids were introduced in [11] as an algebraic generalization of Mazurkiewicz trace monoids. (1) We ...
Dietrich Kuske
MFCS
2005
Springer
13 years 10 months ago
Inverse Monoids: Decidability and Complexity of Algebraic Questions
This paper investigates the word problem for inverse monoids generated by a set Γ subject to relations of the form e = f, where e and f are both idempotents in the free inverse m...
Markus Lohrey, Nicole Ondrusch
FCT
2007
Springer
13 years 11 months ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf
CADE
2004
Springer
14 years 5 months ago
Automatic Generation of Classification Theorems for Finite Algebras
Abstract. Classifying finite algebraic structures has been a major motivation behind much research in pure mathematics. Automated techniques have aided in this process, but this ha...
Simon Colton, Andreas Meier, Volker Sorge, Roy L. ...