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Abstract <p>Firstly, the denotation of coding theorems for linear orders wasdiscussed by R.G.&#xa0;Downey. In this paper, we give formal definitionand proof some results in this way. We show that coding theoremsconnect with different areas of computable linear order theory,namely, connect with spectra and computably presentability. Wegive different instruments to find new coding theorems.</p>

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The Coding Theorems for Linear Orders

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • A. N. Frolov

摘要

Abstract

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