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ACS
2008
13 years 6 months ago
Covering Coalgebras and Dual Non-singularity
Abstract Localisation is an important technique in ring theory and yields the construction of various rings of quotients. Colocalisation in comodule categories has been investigate...
Christian Lomp, Virgínia Rodrigues
FOSSACS
2008
Springer
13 years 8 months ago
Coalgebraic Logic and Synthesis of Mealy Machines
Abstract. We present a novel coalgebraic logic for deterministic Mealy machines that is sound, complete and expressive w.r.t. bisimulation. Every finite Mealy machine corresponds t...
Marcello M. Bonsangue, Jan J. M. M. Rutten, Alexan...
CALCO
2007
Springer
118views Mathematics» more  CALCO 2007»
14 years 27 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
EJC
2002
13 years 6 months ago
Homology of Newtonian Coalgebras
Given a Newtonian coalgebra we associate to it a chain complex. The homology groups of this Newtonian chain complex are computed for two important Newtonian coalgebras arising in ...
Richard Ehrenborg, Margaret Readdy
CALCO
2005
Springer
98views Mathematics» more  CALCO 2005»
14 years 7 days ago
The Least Fibred Lifting and the Expressivity of Coalgebraic Modal Logic
Every endofunctor B on the category Set can be lifted to a fibred functor on the category (fibred over Set) of equivalence relations and relation-preserving functions. In this pa...
Bartek Klin