Research output: Contribution to journal › Article › peer-review

**Complexity of the Problem of ∀-Representation for Sentences.** / Когабаев, Нурлан Талгатович.

Research output: Contribution to journal › Article › peer-review

Когабаев, НТ 2023, 'Complexity of the Problem of ∀-Representation for Sentences', *Algebra and Logic*, vol. 62, no. 4, pp. 372-375. https://doi.org/10.1007/s10469-024-09751-4

Когабаев, Н. Т. (2023). Complexity of the Problem of ∀-Representation for Sentences. *Algebra and Logic*, *62*(4), 372-375. https://doi.org/10.1007/s10469-024-09751-4

Когабаев НТ. Complexity of the Problem of ∀-Representation for Sentences. Algebra and Logic. 2023 Sept;62(4):372-375. doi: 10.1007/s10469-024-09751-4

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title = "Complexity of the Problem of ∀-Representation for Sentences",

abstract = "The algorithmic problem of Horn representability for sentences was dealt with in [1, 2] where sharp complexity bounds for this problem were obtained for all possible signatures. The study of the given problem was initially justified by peculiarities of stable functioning of certain applied logic systems. As a natural mathematical modification of the problem we may consider representability of sentences in some other special form. At the International Conference “Mal{\textquoteright}tsev readings 2022,” S. S. Goncharov asked me the question on estimation of the complexity of the problem of ∀-representability for sentences. The present paper is devoted to the answer to this question.",

keywords = "PA-degree, autostability relative to strong constructivizations, computable categoricity, computable model, decidable categoricity, decidable categoricity spectrum, decidable model, degree of decidable categoricity",

author = "Когабаев, {Нурлан Талгатович}",

note = "Supported by the Russian Science Foundation, project No. 23-11-00170; https://rscf.ru/project/23-11-00170 .",

year = "2023",

month = sep,

doi = "10.1007/s10469-024-09751-4",

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KW - autostability relative to strong constructivizations

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