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arXiv · 1906.10087

A Note on Clockability for Ordinal Turing Machines

Merlin Carl
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Abstract

We study clockability for Ordinal Turing Machines (OTMs). In particular, we show that, in contrast to the situation for ITTMs, admissible ordinals can be OTM-clockable, that $\Sigma_{2}$-admissible ordinals are never OTM-clockable and that gaps in the OTM-clockable ordinals are always started by admissible limits of admissible ordinals.

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Merlin Carl. 2019-06-24. A Note on Clockability for Ordinal Turing Machines. https://doi.org/10.1007/978-3-030-51466-2_2

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