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» Continuous Functions on Final Coalgebras
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ENTCS
2006
162views more  ENTCS 2006»
13 years 4 months ago
Continuous Functions on Final Coalgebras
It can be traced back to Brouwer that continuous functions of type StrA B, where StrA is the type of infinite streams over elements of A, can be represented by well founded, Abra...
Neil Ghani, Peter Hancock, Dirk Pattinson
APAL
2006
118views more  APAL 2006»
13 years 4 months ago
Final coalgebras and the Hennessy-Milner property
The existence of a final coalgebra is equivalent to the existence of a formal logic with a set (small class) of formulas that has the Hennessy-Milner property of distinguishing co...
Robert Goldblatt
ENTCS
2006
138views more  ENTCS 2006»
13 years 4 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
TYPES
1994
Springer
13 years 8 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
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