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We suggest a general, relatively simple criterion for the existence of a primitive recursive (p.r.) or punctual presentation of a given structure. As an example, we prove that every computable Abelian group with a computably enumerable linear basis has a p.r. presentation. A series of other examples is found.

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The Existence of Primitive Recursive Structures

  • 会议论文

  • 发表日期：

    2025年

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  • Pavel E. Alaev

摘要

We suggest a general, relatively simple criterion for the existence of a primitive recursive (p.r.) or punctual presentation of a given structure. As an example, we prove that every computable Abelian group with a computably enumerable linear basis has a p.r. presentation. A series of other examples is found.