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» On Coalgebras over Algebras
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CORR
2011
Springer
162views Education» more  CORR 2011»
14 years 5 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
75
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TCS
2002
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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