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» Generalizing the powerset construction, coalgebraically
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FOSSACS
2011
Springer
13 years 2 months ago
Similarity Quotients as Final Coalgebras
We give a general framework connecing a branching time relation on nodes of a transition system to a final coalgebra for a suitable endofunctor. Examples of relations treated by o...
Paul Blain Levy
FORTE
2008
14 years 9 days ago
Multiset Bisimulations as a Common Framework for Ordinary and Probabilistic Bisimulations
Abstract. Our concrete objective is to present both ordinary bisimulations and probabilistic bisimulations in a common coalgebraic framework based on multiset bisimulations. For th...
David de Frutos-Escrig, Miguel Palomino, Ignacio F...
TYPES
1994
Springer
14 years 2 months ago
A Concrete Final Coalgebra Theorem for ZF Set Theory
A special final coalgebra theorem, in the style of Aczel's [2], is proved within standard Zermelo-Fraenkel set theory. Aczel's AntiFoundation Axiom is replaced by a varia...
Lawrence C. Paulson
ACS
2008
13 years 11 months ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer
CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 11 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