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Sib. Èlektron. Mat. Izv., 2015, Volume 12, Pages 714–722 (Mi semr620)  

Mathematical logic, algebra and number theory

Automatic structures and the theory of lists

N. A. Bazhenovab

a Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya ul., 35, 420008, Kazan, Russia
b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia

Abstract: Goncharov constructed the axiomatic theory of linear lists over the elements of a given data type. We study algorithmic complexity for models of this theory. We prove that the enriched list structure over a finite set of atoms is automatically presentable, and the enriched list structure over an infinite set of atoms has no automatic presentations.

Keywords: automatic structure, linear list, theory of lists, decidable model, list superstructure.

DOI: https://doi.org/10.17377/semi.2015.12.057

Full text: PDF file (161 kB)
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UDC: 510.5
MSC: 03D05, 03D45
Received September 30, 2015, published October 16, 2015
Language: English

Citation: N. A. Bazhenov, “Automatic structures and the theory of lists”, Sib. Èlektron. Mat. Izv., 12 (2015), 714–722

Citation in format AMSBIB
\Bibitem{Baz15}
\by N.~A.~Bazhenov
\paper Automatic structures and the theory of lists
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 714--722
\mathnet{http://mi.mathnet.ru/semr620}
\crossref{https://doi.org/10.17377/semi.2015.12.057}


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