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» The Goldblatt-Thomason Theorem for Coalgebras
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ENTCS
2006
138views more  ENTCS 2006»
13 years 7 months ago
Some Properties and Some Problems on Set Functors
We study properties of functors on categories of sets (classes) together with set (class) functions. In particular, we investigate the notion of inclusion preserving functor, and ...
Daniela Cancila, Furio Honsell, Marina Lenisa
ENTCS
2002
136views more  ENTCS 2002»
13 years 7 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...
TYPES
1994
Springer
13 years 11 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
ENTCS
2002
109views more  ENTCS 2002»
13 years 7 months ago
Induction, Coinduction, and Adjoints
We investigate the reasons for which the existence of certain right adjoints implies the existence of some final coalgebras, and vice-versa. In particular we prove and discuss the...
J. Robin B. Cockett, Luigi Santocanale
LICS
2010
IEEE
13 years 5 months ago
A Sound and Complete Calculus for Finite Stream Circuits
Stream circuits are a convenient graphical way to represent streams (or stream functions) computed by finite dimensional linear systems. We present a sound and complete expression...
Stefan Milius