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CALCO
2009
Springer
161views Mathematics» more  CALCO 2009»
13 years 11 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
CORR
2011
Springer
162views Education» more  CORR 2011»
12 years 11 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
CALCO
2007
Springer
118views Mathematics» more  CALCO 2007»
13 years 10 months 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
BIRTHDAY
2009
Springer
13 years 11 months ago
Nonassociative Lambek Calculus with Additives and Context-Free Languages
We study Nonassociative Lambek Calculus with additives ∧, ∨, satisfying the distributive law (Distributive Full Nonassociative Lambek Calculus DFNL). We prove that categorial g...
Wojciech Buszkowski, Maciej Farulewski