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JSYML
2007
49views more  JSYML 2007»
13 years 11 months ago
On sets not belonging to algebras
Let A1, . . . , An, An+1 be a finite sequence of algebras of sets given on a set X, n k=1 Ak = P(X), with more than 4 3 n pairwise disjoint sets not
L. S. Grinblat
JSYML
2007
66views more  JSYML 2007»
13 years 11 months ago
Spectra of structures and relations
We consider embeddings of structures which preserve spectra: if g : M → S with S computable, then M should have the same Turing degree spectrum (as a structure) that g(M) has (a...
Valentina S. Harizanov, Russel G. Miller
JSYML
2007
68views more  JSYML 2007»
13 years 11 months ago
Reconstruction of homogeneous relational structures
Silvia Barbina, Dugald Macpherson
JSYML
2007
68views more  JSYML 2007»
13 years 11 months ago
Bounding nonsplitting enumeration degrees
We show that every nonzero Σ0 2 enumeration degree bounds a nonsplitting nonzero enumeration degree.
Thomas F. Kent, Andrea Sorbi
JSYML
2007
36views more  JSYML 2007»
13 years 11 months ago
Groups definable in ordered vector spaces over ordered division rings
Let M = M, +, <, 0, {λ}λ∈D be an ordered vector space over an ordered division ring D, and G = G, ⊕, eG an n-dimensional group definable in M. We show that if G is defin...
Pantelis E. Eleftheriou, Sergei Starchenko
JSYML
2007
85views more  JSYML 2007»
13 years 11 months ago
Lower bounds for modal logics
We give an exponential lower bound on number of proof-lines in the proof system K of modal logic, i.e., we give an example of K-tautologies 1, 2, . . . s.t. every K-proof of i must...
Pavel Hrubes
JSYML
2007
106views more  JSYML 2007»
13 years 11 months ago
Characterizing rosy theories
We examine several conditions, either the existence of a rank or a particular property of þ-forking that suggest the existence of a well-behaved independence relation, and determi...
Clifton Ealy, Alf Onshuus
JSYML
2007
58views more  JSYML 2007»
13 years 11 months ago
Bounding homogeneous models
A Turing degree d is homogeneous bounding if every complete decidable (CD) theory has a d-decidable homogeneous model A, i.e., the elementary diagram De (A) has degree d. It follo...
Barbara F. Csima, Valentina S. Harizanov, Denis R....