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» The continuum as a final coalgebra
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TCS
2002
13 years 4 months ago
The continuum as a final coalgebra
oole.stanford.edu/pub/ABSTRACTS Pratt, V.R., "Transition and Cancellation in Concurrency and Branching Time", Math. Structures in Comp. Sci., 13:4, 485-529, August 2003. ...
Dusko Pavlovic, Vaughan R. Pratt
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
JSYML
2007
79views more  JSYML 2007»
13 years 4 months ago
Models of non-well-founded sets via an indexed final coalgebra theorem
The paper uses the formalism of indexed categories to recover the proof of a standard final coalgebra theorem, thus showing existence of final coalgebras for a special class of ...
Federico De Marchi, Benno van den Berg
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
FOSSACS
2011
Springer
12 years 8 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