A syntactic approach to continuity of T-definable functionals
We give a new proof of the well-known fact that all functions $(\mathbb{N} \to \mathbb{N}) \to \mathbb{N}$ which are definable in G\"odel's System T are continuous via a syntactic approach. Differing from the usual syntactic method, we firstly perform a translation of System T into itself...
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| Format: | Article |
| Language: | English |
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Logical Methods in Computer Science e.V.
2020-02-01
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| Series: | Logical Methods in Computer Science |
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| Online Access: | https://lmcs.episciences.org/5394/pdf |