Categorifying computable reducibilities
This paper presents categorical formulations of Turing, Medvedev, Muchnik, and Weihrauch reducibilities in Computability Theory, utilizing Lawvere doctrines. While the first notions lend themselves to a smooth categorical presentation, essentially dualizing the traditional idea of realizability doct...
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| Main Authors: | Davide Trotta, Manlio Valenti, Valeria de Paiva |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Logical Methods in Computer Science e.V.
2025-02-01
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| Series: | Logical Methods in Computer Science |
| Subjects: | |
| Online Access: | http://lmcs.episciences.org/11378/pdf |
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