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MSCS
2010
67views more  MSCS 2010»
13 years 5 months ago
Bitopological duality for distributive lattices and Heyting algebras
Guram Bezhanishvili, Nick Bezhanishvili, David Gab...
CALCO
2009
Springer
161views Mathematics» more  CALCO 2009»
14 years 1 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
ORDER
2008
86views more  ORDER 2008»
13 years 7 months ago
Comparison of MacNeille, Canonical, and Profinite Completions
Using duality theory, we give necessary and sufficient conditions for the MacNeille, canonical, and profinite completions of distributive lattices, Heyting algebras, and Boolean al...
Guram Bezhanishvili, Jacob Vosmaer
IGPL
2011
12 years 10 months ago
Interpolation and FEP for logics of residuated algebras
A residuated algebra (RA) is a generalization of a residuated groupoid; instead of one basic binary operation · with residual operations \, /, it admits finitely many basic oper...
Wojciech Buszkowski
CORR
2006
Springer
120views Education» more  CORR 2006»
13 years 7 months ago
Logic Column 15: Coalgebras and Their Logics
of proposed research. A short bibliography is optional. Domain theory has been developed around 40 years since 1970s by D. Scott, and S. Abramsky revealed the "junction betwee...
Alexander Kurz