Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 179, Pages 73–77
DOI: https://doi.org/10.36535/0233-6723-2020-179-73-77 (Mi into629) 		 
On proofs of properties of semirecursive sets

I. L. Timofeeva

Moscow State Pedagogical University
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DOI: https://doi.org/10.36535/0233-6723-2020-179-73-77
Abstract: In this paper, we present proofs of properties of semirecursive sets based directly on the definition of these sets and on the recursiveness of Kleene predicates. These proofs are shorter and clearer than traditional proofs of similar statements for recursively enumerable sets.
Keywords: semirecursive set, semicharacteristic function, recursively enumerable set, partially recursive function, recursive function, Kleene predicate.
Bibliographic databases:
Document Type: Article
UDC: 510.5
MSC: 03D25
Language: Russian
Citation: I. L. Timofeeva, “On proofs of properties of semirecursive sets”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 179, VINITI, Moscow, 2020, 73–77
Citation in format AMSBIB
\Bibitem{Tim20}
\by I.~L.~Timofeeva
\paper On proofs of properties of semirecursive sets
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 179
\pages 73--77
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into629}
\crossref{https://doi.org/10.36535/0233-6723-2020-179-73-77}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4208324}
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