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» On Recognizable Languages in Divisibility Monoids
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FCT
1999
Springer
13 years 9 months ago
On Recognizable Languages in Divisibility Monoids
Kleene’s theorem on recognizable languages in free monoids is considered to be of eminent importance in theoretical computer science. It has been generalized into various directi...
Manfred Droste, Dietrich Kuske
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
FOSSACS
2004
Springer
13 years 10 months ago
On Recognizable Timed Languages
In this work we generalize the fundamental notion of recognizability from untimed to timed languages. The essence of our definition is the existence of a right-morphism from the m...
Oded Maler, Amir Pnueli
DLT
2006
13 years 6 months ago
Polynomials, Fragments of Temporal Logic and the Variety DA over Traces
Abstract. We show that some language theoretic and logical characterizations of recognizable word languages whose syntactic monoid is in the variety DA also hold over traces. To th...
Manfred Kufleitner
ICALP
2010
Springer
13 years 9 months ago
A Topological Approach to Recognition
We propose a new approach to the notion of recognition, which departs from the classical definitions by three specific features. First, it does not rely on automata. Secondly, it...
Mai Gehrke, Serge Grigorieff, Jean-Eric Pin