Σ-Definability of countable structures over real numbers, complex numbers, and quaternions-Reference-Cited by-同舟云学术

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Σ-Definability of countable structures over real numbers, complex numbers, and quaternions

Published:2008-05 Issue:3 Volume:47 Page:193-209
ISSN:0002-5232
Container-title:Algebra and Logic
language:en
Short-container-title:Algebra Logic

Author:

Morozov A. S.,Korovina M. V.

Publisher

Springer Science and Business Media LLC

Subject

Logic,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10469-008-9009-x.pdf

Reference6 articles.

1. Yu. L. Ershov, Definability and Computability, Sib. School Alg. Log. [in Russian], Nauch. Kniga, Novosibirsk (1996).

2. J. Barwise, Admissible Sets and Structures, Springer, Berlin (1975).

3. S. S. Goncharov and Yu. L. Ershov, Constructive Models, Sib. School Alg. Log. [in Russian], Nauch. Kniga, Novosibirsk (1996).

4. Stud. Log. Found. Math.;Yu. L. Ershov,1998

5. H. Rogers, Theory of Recursive Functions and Effective Computability, McGraw-Hill, New York (1967).

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1. Generalized fusible numbers and their ordinals;Annals of Pure and Applied Logic;2024-01

2. On Σ-Definability Over Hereditarily Finite and List Superstructures;Journal of Mathematical Sciences;2020-04-11

3. On Mutual Definability of Operations on Fields;Siberian Mathematical Journal;2019-11

4. Σ-Preorderings in $$ \mathbb{H}\mathbbm{F} $$(ℝ);Algebra and Logic;2019-11

5. Nonpresentability of Some Structures of Analysis in Hereditarily Finite Superstructures;Algebra and Logic;2018-01

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