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CIE
2010
Springer
13 years 5 months ago
Computable Ordered Abelian Groups and Fields
Abstract. We present transformations of linearly ordered sets into ordered abelian groups and ordered fields. We study effective properties of the transformations. In particular, w...
Alexander G. Melnikov
CIE
2010
Springer
13 years 8 months ago
How Powerful Are Integer-Valued Martingales?
In the theory of algorithmic randomness, one of the central notions is that of computable randomness. An infinite binary sequence X is computably random if no recursive martingale...
Laurent Bienvenu, Frank Stephan, Jason Teutsch