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» Decidability and Complexity in Automatic Monoids
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FCT
2001
Springer
13 years 11 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
14 years 18 days 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
14 years 1 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 7 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. ...