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» Recursive coalgebras of finitary functors
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ITA
2007
14 years 9 months ago
Recursive coalgebras of finitary functors
Abstract For finitary set functors preserving inverse images several concepts of coalgebras A are proved to be equivalent: (i) A has a homomorphism into the initial algebra, (ii) ...
Jirí Adámek, Dominik Lücke, Ste...
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
67
Voted
ENTCS
2008
106views more  ENTCS 2008»
14 years 9 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
83
Voted
ENTCS
2008
102views more  ENTCS 2008»
14 years 9 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
88
Voted
IANDC
2006
99views more  IANDC 2006»
14 years 9 months ago
Recursive coalgebras from comonads
We discuss Osius's [22] concept of a recursive coalgebra of a functor from the perspective of programming semantics and give some new sufficient conditions for the recursiven...
Venanzio Capretta, Tarmo Uustalu, Varmo Vene