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» The Goldblatt-Thomason Theorem for Coalgebras
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CALCO
2007
Springer
103views Mathematics» more  CALCO 2007»
14 years 5 months ago
The Goldblatt-Thomason Theorem for Coalgebras
Goldblatt and Thomason’s theorem on modally definable classes of Kripke frames and Venema’s theorem on modally definable classes of Kripke models are generalised to coalgebra...
Alexander Kurz, Jirí Rosický
JSYML
2007
79views more  JSYML 2007»
13 years 10 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
APAL
2006
118views more  APAL 2006»
13 years 11 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
2002
80views more  ENTCS 2002»
13 years 10 months ago
Some Co-Birkhoff Type Theorems
We consider the dual of Theorem 1 from [33], relating closure conditions on subcategories with projectivity classes for collections of discrete cocones. We extend these results by...
Jesse Hughes
ENTCS
2002
121views more  ENTCS 2002»
13 years 10 months ago
Modal Predicates and Co-equations
We show how coalgebras can be presented by operations and equations. This is a special case of Linton's approach to algebras over a general base category X, namely where X is...
Alexander Kurz, Jirí Rosický