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Inductive definitions over finite structures

โœ Scribed by Daniel Leivant


Book ID
113383934
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
732 KB
Volume
89
Category
Article
ISSN
0890-5401

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## Abstract Arithmetical definability has been extensively studied over the natural numbers. In this paper, we take up the study of arithmetical definability over finite structures, motivated by the correspondence between uniform AC^0^ and FO(PLUS, TIMES). We prove finite analogs of three classic r