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Sibirsk. Mat. Zh., 2017, Volume 58, Number 5, Pages 1026–1034 (Mi smj2916)  

This article is cited in 1 scientific paper (total in 1 paper)

Conditional terms in semantic programming

S. S. Goncharov

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: For constructing an enrichment of the language with restricted quantifiers, we extend the construction of conditional terms. We show that the so-obtained extension of the language of formulas with restricted quantifiers over structures with hereditary finite lists is a conservative enrichment.

Keywords: formula, term, restricted quantifier, $\Delta_0$-formula, $\Sigma$-formula, semantic programming, computability, computability over abstract structures, conditional term.

Funding Agency Grant Number
Russian Science Foundation 17-11-01176
The author was supported by the Russian Science Foundation (Grant 17-11-01176).


DOI: https://doi.org/10.17377/smzh.2017.58.506

References: PDF file   HTML file

English version:
Siberian Mathematical Journal, 2017, 58:5, 794–800

Bibliographic databases:

Document Type: Article
UDC: 510.2+510.3+510.6+51-8+004.8
MSC: 35R30
Received: 06.06.2017

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    This publication is cited in the following articles:
    1. I. A. Kazakov, I. A. Kustova, E. N. Lazebnikova, A. V. Mantsivoda, “Postroenie lokalno-prostykh modelei: metodologiya i praktika”, Izv. Irkutskogo gos. un-ta. Ser. Matematika, 22 (2017), 71–89  mathnet  crossref
  • Сибирский математический журнал Siberian Mathematical Journal
     
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