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BSL
2005
70views more  BSL 2005»
14 years 11 days ago
Mass problems and randomness
A mass problem is a set of Turing oracles. If P and Q are mass problems, we say that P is weakly reducible to Q if every member of Q Turing computes a member of P. We say that P i...
Stephen G. Simpson
BSL
2005
74views more  BSL 2005»
14 years 11 days 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
BSL
2005
106views more  BSL 2005»
14 years 11 days ago
Compactness and independence in non first order frameworks
This communication deals with positive model theory, a non first order model theoretic setting which preserves compactness at the cost of giving up negation. Positive model theory ...
Itay Ben-Yaacov