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» On Coalgebras over Algebras
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CORR
2011
Springer
162views Education» more  CORR 2011»
13 years 2 months ago
Finitely generated free Heyting algebras via Birkhoff duality and coalgebra
Algebras axiomatized entirely by rank 1 axioms are algebras for a functor and thus the free algebras can be obtained by a direct limit process. Dually, the final coalgebras can be...
Nick Bezhanishvili, Mai Gehrke
TCS
2002
13 years 7 months ago
A coalgebraic equational approach to specifying observational structures
A coalgebraic, equational approach to the speci
Corina Cîrstea
ENTCS
2007
161views more  ENTCS 2007»
13 years 7 months ago
Bialgebraic Methods in Structural Operational Semantics: Invited Talk
Bialgebraic semantics, invented a decade ago by Turi and Plotkin, is an approach to formal reasoning about well-behaved structural operational specifications. An extension of alg...
Bartek Klin
ENTCS
2002
109views more  ENTCS 2002»
13 years 7 months ago
Induction, Coinduction, and Adjoints
We investigate the reasons for which the existence of certain right adjoints implies the existence of some final coalgebras, and vice-versa. In particular we prove and discuss the...
J. Robin B. Cockett, Luigi Santocanale
ENTCS
2000
88views more  ENTCS 2000»
13 years 7 months ago
Notes on Coalgebras, Cofibrations and Concurrency
We consider categories of coalgebras as (co)-fibred over a base category of parameters and analyse categorical constructions in the total category of deterministic and non-determi...
Alexander Kurz, Dirk Pattinson