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» On the structure of the Medvedev lattice
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CIE
2005
Springer
13 years 10 months ago
Kripke Models, Distributive Lattices, and Medvedev Degrees
We define a variant of the standard Kripke semantics for intuitionistic logic, motivated by the connection between constructive logic and the Medvedev lattice. We show that while...
Sebastiaan Terwijn
JSYML
2008
112views more  JSYML 2008»
13 years 4 months ago
On the structure of the Medvedev lattice
We investigate the structure of the Medvedev lattice as a partial order. We prove that every interval in the lattice is either finite, in which case it is isomorphic to a finite B...
Sebastiaan Terwijn
APAL
2008
79views more  APAL 2008»
13 years 4 months ago
Intermediate logics and factors of the Medvedev lattice
We investigate the initial segments of the Medvedev lattice as Brouwer algebras, and study the propositional logics connected to them.
Andrea Sorbi, Sebastiaan Terwijn
AML
2011
190views Mathematics» more  AML 2011»
12 years 8 months ago
Topological aspects of the Medvedev lattice
We study the Medvedev degrees of mass problems with distinguished topological properties, such as denseness, closedness, or discreteness. We investigate the sublattices generated ...
Andrew E. M. Lewis, Richard A. Shore, Andrea Sorbi
AML
2006
83views more  AML 2006»
13 years 4 months ago
The Medvedev lattice of computably closed sets
Simpson introduced the lattice P of 0 1 classes under Medvedev reducibility. Questions regarding completeness in P are related to questions about measure and randomness. We presen...
Sebastiaan Terwijn