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CORR
2011
Springer
162views Education» more  CORR 2011»
13 years 7 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
APAL
2007
119views more  APAL 2007»
14 years 17 days ago
An algebraic approach to subframe logics. Intuitionistic case
We develop duality between nuclei on Heyting algebras and certain binary relations on Heyting spaces. We show that these binary relations are in 1–1 correspondence with subframe...
Guram Bezhanishvili, Silvio Ghilardi
CALCO
2009
Springer
161views Mathematics» more  CALCO 2009»
14 years 7 months ago
Free Heyting Algebras: Revisited
Abstract. We use coalgebraic methods to describe finitely generated free Heyting algebras. Heyting algebras are axiomatized by rank 0-1 axioms. In the process of constructing free...
Nick Bezhanishvili, Mai Gehrke