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CIE
2008
Springer
13 years 7 months ago
An Enhanced Theory of Infinite Time Register Machines
Abstract. Infinite time register machines (ITRMs) are register machines which act on natural numbers and which are allowed to run for arbitrarily many ordinal steps. Successor step...
Peter Koepke, Russell Miller
CIE
2007
Springer
13 years 11 months ago
Post's Problem for Ordinal Register Machines
We study Post’s Problem for the ordinal register machines defined in [6], showing that its general solution is positive, but that any set of ordinals solving it must be unbounde...
Joel David Hamkins, Russell G. Miller