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CIE
2010
Springer
13 years 9 months ago
Higher-Order Containers
Containers are a semantic way to talk about strictly positive types. In previous work it was shown that containers are closed under various constructions including products, coprod...
Thorsten Altenkirch, Paul Levy, Sam Staton
ENTCS
2002
136views more  ENTCS 2002»
13 years 4 months ago
Final Coalgebras And a Solution Theorem for Arbitrary Endofunctors
Every endofunctor F of Set has an initial algebra and a final coalgebra, but they are classes in general. Consequently, the endofunctor F of the category of classes that F induces...
Jirí Adámek, Stefan Milius, Jiri Vel...
FCT
1999
Springer
13 years 9 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
ACS
2008
13 years 5 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