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» Covarieties and Complete Covarieties
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ENTCS
1998
79views more  ENTCS 1998»
14 years 9 months ago
Covarieties and Complete Covarieties
We present two ways to de ne covarieties and complete covarieties, i.e. covarieties that are closed under total bisimulation: by closure operators and by subcoalgebras of coalgebr...
H. Peter Gumm, Tobias Schröder
IANDC
2010
160views more  IANDC 2010»
14 years 7 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
ICTAC
2005
Springer
15 years 3 months ago
Covarieties of Coalgebras: Comonads and Coequations
Coalgebras provide effective models of data structures and state-transition systems. A virtual covariety is a class of coalgebras closed under coproducts, images of coalgebraic mo...
Ranald Clouston, Robert Goldblatt
73
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ENTCS
2002
80views more  ENTCS 2002»
14 years 10 months ago
Some Co-Birkhoff Type Theorems
We consider the dual of Theorem 1 from [33], relating closure conditions on subcategories with projectivity classes for collections of discrete cocones. We extend these results by...
Jesse Hughes
ENTCS
2002
121views more  ENTCS 2002»
14 years 10 months ago
Modal Predicates and Co-equations
We show how coalgebras can be presented by operations and equations. This is a special case of Linton's approach to algebras over a general base category X, namely where X is...
Alexander Kurz, Jirí Rosický