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» Algebras Versus Coalgebras
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ACS
2008
13 years 4 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
FCT
1999
Springer
13 years 8 months ago
Tile Transition Systems as Structured Coalgebras
The aim of this paper is to investigate the relation between two models of concurrent systems: tile rewrite systems and coalgebras. Tiles are rewrite rules with side e ects which a...
Andrea Corradini, Reiko Heckel, Ugo Montanari
IANDC
2010
151views more  IANDC 2010»
13 years 2 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
CALCO
2009
Springer
172views Mathematics» more  CALCO 2009»
13 years 11 months ago
Coalgebraic Components in a Many-Sorted Microcosm
The microcosm principle, advocated by Baez and Dolan and formalized for Lawvere theories lately by three of the authors, has been applied to coalgebras in order to describe composi...
Ichiro Hasuo, Chris Heunen, Bart Jacobs, Ana Sokol...
FOSSACS
2010
Springer
13 years 11 months ago
CIA Structures and the Semantics of Recursion
Final coalgebras for a functor serve as semantic domains for state based systems of various types. For example, formal languages, streams, nonwell-founded sets and behaviors of CCS...
Stefan Milius, Lawrence S. Moss, Daniel Schwencke