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BSL
2005
74views more  BSL 2005»
13 years 4 months ago
Turing computations on ordinals
We define the notion of ordinal computability by generalizing standard Turing computability on tapes of length to computations on tapes of arbitrary ordinal length. We show that a ...
Peter Koepke
CIE
2005
Springer
13 years 10 months ago
Computing a Model of Set Theory
We define the notion of ordinal computability by generalizing standard Turing computability on tapes of length ω to computations on tapes of arbitrary ordinal length. The general...
Peter Koepke
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
CIE
2005
Springer
13 years 10 months ago
The Transfinite Action of 1 Tape Turing Machines
• We produce a classification of the pointclasses of sets of reals produced by infinite time turing machines with 1-tape. The reason for choosing this formalism is that it appa...
Philip D. Welch
CIE
2009
Springer
13 years 11 months ago
Ordinal Computability
computability uses ordinals instead of natural numbers in abstract machines like register or Turing machines. We give an overview of the computational strengths of α-β-machines,...
Peter Koepke