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» Coequational Logic for Finitary Functors
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ENTCS
2008
106views more  ENTCS 2008»
13 years 4 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
IANDC
2010
160views more  IANDC 2010»
13 years 1 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
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
ENTCS
2008
102views more  ENTCS 2008»
13 years 4 months ago
Functorial Coalgebraic Logic: The Case of Many-sorted Varieties
Following earlier work, a modal logic for T-coalgebras is a functor L on a suitable variety. Syntax and proof system of the logic are given by presentations of the functor. This p...
Alexander Kurz, Daniela Petrisan
ENTCS
2002
77views more  ENTCS 2002»
13 years 4 months ago
Towards Coalgebraic Behaviourism
In this paper we show that it is possible to model observable behaviour of coalgebras independently from their internal dynamics, but within the general framework of representing ...
Dragan Masulovic