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» Coequational logic for accessible functors
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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
ENTCS
2008
106views more  ENTCS 2008»
13 years 5 months ago
Coequational Logic for Finitary Functors
Coequations, which are subsets of a cofree coalgebra, can be viewed as properties of systems. In case of a polynomial functor, a logic of coequations was formulated by J. Ad
Daniel Schwencke
ENTCS
2007
151views more  ENTCS 2007»
13 years 4 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
FOSSACS
2005
Springer
13 years 10 months ago
Expressivity of Coalgebraic Modal Logic: The Limits and Beyond
Modal logic has a good claim to being the logic of choice for describing the reactive behaviour of systems modeled as coalgebras. Logics with modal operators obtained from so-calle...
Lutz Schröder