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Model-Theoretic Properties of ω-Automatic Structures.

Authors :
Zaid, Faried
Grädel, Erich
Kaiser, Łukasz
Pakusa, Wied
Source :
Theory of Computing Systems; Nov2014, Vol. 55 Issue 4, p856-880, 25p
Publication Year :
2014

Abstract

We investigate structural properties of ω-automatic presentations of infinite structures in order to sharpen our methods to determine whether a given structure is ω-automatic. We apply these methods to show that several classes of structures such as pairing functions and infinite integral domains do not have an ω-automatic model. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14324350
Volume :
55
Issue :
4
Database :
Complementary Index
Journal :
Theory of Computing Systems
Publication Type :
Academic Journal
Accession number :
98255027
Full Text :
https://doi.org/10.1007/s00224-013-9508-6