COMPUTABILITY AND UNCOUNTABLE LINEAR ORDERS I: COMPUTABLE CATEGORICITY

Author:

GREENBERG NOAM,KACH ASHER M.,LEMPP STEFFEN,TURETSKY DANIEL D.

Abstract

AbstractWe study the computable structure theory of linear orders of size $\aleph _1 $ within the framework of admissible computability theory. In particular, we characterize which of these linear orders are computably categorical.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference20 articles.

1. [6] Greenberg Noam , Kach Asher M. , Lempp Steffen and Turetsky Daniel D. , Computability and uncountable linear orders, part II: degree spectra, this Journal, accepted.

2. Autostability of models;Goncharov;Algebra i Logika,1980

3. [16] Richter Linda Jean , Degrees of structures, this Journal, vol. 46 (1981), no. 4, pp. 723–731.

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1. UNIFORM PROCEDURES IN UNCOUNTABLE STRUCTURES;The Journal of Symbolic Logic;2018-06

2. Finding bases of uncountable free abelian groups is usually difficult;Transactions of the American Mathematical Society;2017-12-14

3. COMPUTABILITY AND UNCOUNTABLE LINEAR ORDERS II: DEGREE SPECTRA;The Journal of Symbolic Logic;2015-03

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