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Complexity of the problem of ∀-representation for sentences ArticleGenre_short.SHORT_COMMUNICATION

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2023, Volume: 62, Number: 4, Pages: 372-375 Pages count : 4 DOI: 10.1007/s10469-024-09751-4
Authors Kogabaev N.T. 1,2
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State University

Funding (1)

1 Russian Science Foundation 23-11-00170

Abstract: We calculate the complexity of the existence problem of a ∀-sentence (exists-sentence) which is equivalent to a given sentence. We prove that for a signature consisting only of unary predicate symbols both of these problems are computable. If a signature contains at least two unary function symbols, we establish that each of these problems is an m-complete Sigma^0_1-set.
Cite: Kogabaev N.T.
Complexity of the problem of ∀-representation for sentences
Algebra and Logic. 2023. V.62. N4. P.372-375. DOI: 10.1007/s10469-024-09751-4 WOS Scopus РИНЦ OpenAlex
Original: Когабаев Н.Т.
О сложности проблемы ∀-представимости предложений
Алгебра и логика. 2023. Т.62. №4. С.552-557. DOI: 10.33048/alglog.2023.62.406 РИНЦ MathNet
Dates:
Submitted: Mar 22, 2024
Published print: Apr 27, 2024
Accepted: Jul 19, 2024
Published online: Jul 27, 2024
Identifiers:
Web of science: WOS:001279118700001
Scopus: 2-s2.0-85200033494
Elibrary: 73442216
OpenAlex: W4401052916
Citing: Пока нет цитирований
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