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arXiv · 2105.06933

Computability models over categories

Iosif Petrakis
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Abstract

Generalising slightly the notions of a strict computability model and of a simulation between them, which were elaborated by Longley and Normann, we define canonical computability models over categories and appropriate Set-valued functors on them. We study the canonical total computability model over a category, and the partial one over a category with pullbacks. Our notions and results are generalised to categories with a base of computability, connecting Rosolini's theory of dominions with the theory of computability models.

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Iosif Petrakis. 2021-05-14. Computability models over categories. https://arxiv.org/abs/2105.06933

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