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» Algebras Versus Coalgebras
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SBMF
2009
Springer
14 years 20 days ago
Corecursive Algebras: A Study of General Structured Corecursion
Motivated by issues in designing practical total functional programming languages, we are interested in structured recursive equations that uniquely describe a function not because...
Venanzio Capretta, Tarmo Uustalu, Varmo Vene
ENTCS
2007
116views more  ENTCS 2007»
13 years 6 months ago
Co-Algebraic Models for Quantitative Spatial Logics
We introduce a class of coalgebraic models and a family of modal logics that support the specication of spatial properties of distributed applications. The evaluation of a formul...
Vincenzo Ciancia, Gian Luigi Ferrari
ENTCS
2002
136views more  ENTCS 2002»
13 years 6 months ago
Final Coalgebras And a Solution Theorem for Arbitrary Endofunctors
Every endofunctor F of Set has an initial algebra and a final coalgebra, but they are classes in general. Consequently, the endofunctor F of the category of classes that F induces...
Jirí Adámek, Stefan Milius, Jiri Vel...
CALCO
2007
Springer
118views Mathematics» more  CALCO 2007»
14 years 10 days ago
Free Modal Algebras: A Coalgebraic Perspective
In this paper we discuss a uniform method for constructing free modal and distributive modal algebras. This method draws on works by (Abramsky 2005) and (Ghilardi 1995). We revisit...
Nick Bezhanishvili, Alexander Kurz
ITA
2007
13 years 6 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...