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APAL
2008
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13 years 11 months ago
A standard model of Peano arithmetic with no conservative elementary extension
The principal result of this paper answers a long-standing question in the model theory of arithmetic [KS, Question 7] by showing that there exists an uncountable arithmetically cl...
Ali Enayat
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....