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ORDER
2006
102views more  ORDER 2006»
13 years 5 months ago
Profinite Completions and Canonical Extensions of Heyting Algebras
Guram Bezhanishvili, Mai Gehrke, Ray Mines, Patric...
ORDER
2008
86views more  ORDER 2008»
13 years 5 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
ORDER
2008
82views more  ORDER 2008»
13 years 5 months ago
Profinite Heyting Algebras
For a Heyting algebra A, we show that the following conditions are equivalent: (i) A is profinite; (ii) A is finitely approximable, complete, and completely join-prime generated; (...
Guram Bezhanishvili, Nick Bezhanishvili
JANCL
2002
113views more  JANCL 2002»
13 years 5 months ago
Canonicity and Completeness Results for Many-Valued Modal Logics
We prove frame determination results for the family of many-valued modal logics introduced by M. Fitting in the early '90s. Each modal language of this family is based on a H...
Costas D. Koutras, Christos Nomikos, Pavlos Peppas
FSS
2008
82views more  FSS 2008»
13 years 5 months ago
Lattice-valued convergence spaces and regularity
: We define a regularity axiom for lattice-valued convergence spaces where the lattice is a complete Heyting algebra. To this end, we generalize the characterization of regularity ...
Gunther Jäger