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On Programmatic Aspects of the Universality, Parameter, and Recursion Theorems of Classical Computability

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  • Vladimir A. Kulyukin

    (Department of Computer Science, Utah State University, Logan, UT 84322, USA)

Abstract

The Universality, Parameter, and Recursion Theorems are three foundational results of classical computability theory. We show how these theorems can be programmatically illustrated and partially validated in Lisp. Our programs can be used as supplementary materials to texts on theoretical computer science, mathematical logic, or metamathematics.

Suggested Citation

  • Vladimir A. Kulyukin, 2025. "On Programmatic Aspects of the Universality, Parameter, and Recursion Theorems of Classical Computability," Mathematics, MDPI, vol. 13(13), pages 1-24, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2090-:d:1687474
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    References listed on IDEAS

    as
    1. Vladimir A. Kulyukin, 2025. "On Signifiable Computability: Part II: An Axiomatization of Signifiable Computation and Debugger Theorems," Mathematics, MDPI, vol. 13(6), pages 1-36, March.
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