Some remarks on the algebraic structure of the Medvedev lattice

Journal of Symbolic Logic 55 (2):831-853 (1990)
Abstract
This paper investigates the algebraic structure of the Medvedev lattice M. We prove that M is not a Heyting algebra. We point out some relations between M and the Dyment lattice and the Mucnik lattice. Some properties of the degrees of enumerability are considered. We give also a result on embedding countable distributive lattices in the Medvedev lattice
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2274668
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,248
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Intermediate Logics and Factors of the Medvedev Lattice.Andrea Sorbi & Sebastiaan A. Terwijn - 2008 - Annals of Pure and Applied Logic 155 (2):69-85.
Effectively Closed Mass Problems and Intuitionism.Kojiro Higuchi - 2012 - Annals of Pure and Applied Logic 163 (6):693-697.
Basic Subtoposes of the Effective Topos.Sori Lee & Jaap Van Oosten - 2013 - Annals of Pure and Applied Logic 164 (9):866-883.
Inside the Muchnik Degrees I: Discontinuity, Learnability and Constructivism.K. Higuchi & T. Kihara - 2014 - Annals of Pure and Applied Logic 165 (5):1058-1114.

Add more citations

Similar books and articles
Added to PP index
2009-01-28

Total downloads
14 ( #341,662 of 2,192,159 )

Recent downloads (6 months)
1 ( #289,804 of 2,192,159 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature