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IANDC
2006
113views more  IANDC 2006»
13 years 5 months ago
Automata and fixed point logic: A coalgebraic perspective
This paper generalizes existing connections between automata and logic to a coalgestraction level. Let F : Set Set be a standard functor that preserves weak pullbacks. We introdu...
Yde Venema
ENTCS
2006
130views more  ENTCS 2006»
13 years 5 months ago
Modularity in Coalgebra
This paper gives an overview of recent results concerning the modular derivation of (i) modal specification logics, (ii) notions of simulation together with logical characterisati...
Corina Cîrstea
FSTTCS
2010
Springer
13 years 3 months ago
Generalizing the powerset construction, coalgebraically
a is an abstract framework for the uniform study of different kinds of dynamical systems. An endofunctor F determines both the type of systems (F-coalgebras) and a notion of behav...
Alexandra Silva, Filippo Bonchi, Marcello M. Bonsa...
CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 5 months ago
Coalgebraic Automata Theory: Basic Results
Abstract. We generalize some of the central results in automata theory to the abstraction level of coalgebras and thus lay out the foundations of a universal theory of automata ope...
Clemens Kupke, Yde Venema
CORR
2008
Springer
110views Education» more  CORR 2008»
13 years 5 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