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LOGCOM
2010
102views more  LOGCOM 2010»
13 years 3 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
FOSSACS
2010
Springer
13 years 12 months ago
Coalgebraic Correspondence Theory
Abstract. We lay the foundations of a first-order correspondence theory for coalgebraic logics that makes the transition structure explicit in the first-order modelling. In parti...
Lutz Schröder, Dirk Pattinson
ENTCS
2007
151views more  ENTCS 2007»
13 years 5 months ago
Coalgebraic Modal Logic Beyond Sets
Polyadic coalgebraic modal logic is studied in the setting of locally presentable categories. It is shown that under certain assumptions, accessible functors admit expressive logi...
Bartek Klin
AIML
2008
13 years 6 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»
13 years 2 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