The Coding Theorems for Linear Orders

Firstly, the denotation of coding theorems for linear orders was discussed by R.G. Downey. In this paper, we give formal definition and proof some results in this way. We show that coding theorems connect with different areas of computable linear order theory, namely, connect with spectra and computably presentability. We give different instruments to find new coding theorems.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-03-01
DOI
https://doi.org/10.1134/s1995080225605223
Primary Topic
Computability, Logic, AI Algorithms
Type
article
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article

The Coding Theorems for Linear Orders

A. N. Frolov
Lobachevskii Journal of Mathematics
Computability, Logic, AI Algorithms
article

The Coding Theorems for Linear Orders

A. N. Frolov
article en

Abstract

Firstly, the denotation of coding theorems for linear orders was discussed by R.G. Downey. In this paper, we give formal definition and proof some results in this way. We show that coding theorems connect with different areas of computable linear order theory, namely, connect with spectra and computably presentability. We give different instruments to find new coding theorems.

Lobachevskii Journal of MathematicsVol. 46(3)
Innopolis University (RU)
Openalex Percentile: Top 82%
Computability, Logic, AI Algorithms
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The Coding Theorems for Linear Orders — A. N. Frolov · Lobachevskii Journal of Mathematics (2025) | TGRS Research Map | TGRS