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LOGCOM
2010
102views more  LOGCOM 2010»
14 years 8 months ago
A Note on Expressive Coalgebraic Logics for Finitary Set Functors
This paper has two purposes. The first is to present a final coalgebra construction for finitary endofunctors on Set that uses a certain subset L∗ of the limit L of the firs...
Lawrence S. Moss
CALCO
2007
Springer
103views Mathematics» more  CALCO 2007»
15 years 4 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
AIML
2008
14 years 11 months ago
Completeness of the finitary Moss logic
We give a sound and complete derivation system for the valid formulas in the finitary version of Moss' coalgebraic logic, for coalgebras of arbitrary type.
Clemens Kupke, Alexander Kurz, Yde Venema
IANDC
2010
160views more  IANDC 2010»
14 years 7 months ago
Coequational logic for accessible functors
Covarieties of coalgebras are those classes of coalgebras for an endofunctor H on the category of sets that are closed under coproducts, subcoalgebras and quotients. Equivalently,...
Daniel Schwencke
ACS
2008
14 years 10 months ago
On Minimal Coalgebras
Abstract. We define an out-degree for F-coalgebras and show that the coalgebras of outdegree at most form a covariety. As a subcategory of all Fcoalgebras, this class has a termin...
H. Peter Gumm