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AML
2008
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13 years 7 months ago
Register computations on ordinals
We generalize ordinary register machines on natural numbers to machines whose registers contain arbitrary ordinals. Ordinal register machines are able to compute a recursive bounde...
Peter Koepke, Ryan Siders
CIE
2007
Springer
14 years 1 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