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» Rational streams coalgebraically
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CORR
2008
Springer
110views Education» more  CORR 2008»
13 years 4 months ago
Rational streams coalgebraically
Abstract. We study rational streams (over a field) from a coalgebraic perspective. Exploiting the finality of the set of streams, we present an elementary and uniform proof of the ...
Jan J. M. M. Rutten
ENTCS
2006
161views more  ENTCS 2006»
13 years 4 months ago
Algebraic Specification and Coalgebraic Synthesis of Mealy Automata
We introduce the notion of functional stream derivative, generalising the notion of input derivative of rational expressions (Brzozowski 1964) to the case of stream functions over...
Jan J. M. M. Rutten
ENTCS
2006
114views more  ENTCS 2006»
13 years 4 months ago
Synthesis of Mealy Machines Using Derivatives
In Rutten [13] the theoretical basis was given for the synthesis of binary Mealy machines from specifications in 2-adic arithmetic. This construction is based on the symbolic comp...
Helle Hvid Hansen, David Costa, Jan J. M. M. Rutte...
ENTCS
2002
141views more  ENTCS 2002»
13 years 4 months ago
Coalgebraic Monads
This paper introduces coalgebraic monads as a unified model of term algebras covering fundamental examples such as initial algebras, final coalgebras, rational terms and term grap...
Neil Ghani, Christoph Lüth, Federico De March...
IANDC
2010
151views more  IANDC 2010»
13 years 3 months ago
Complete sets of cooperations
The structure map turning a set into the carrier of a final coalgebra is not unique. This fact is well-known but commonly elided. In this paper we argue that any such concrete re...
Clemens Kupke, Jan J. M. M. Rutten