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NDJFL
2010
12 years 11 months ago
2010
We study completely decomposable torsion-free abelian groups of the form GS := nSQpn for sets S . We show that GS has a decidable copy if and only if S is 0 2 and has a computable...
NDJFL
2010
12 years 11 months ago
2010
Van Lambalgen's Theorem plays an important role in algorithmic randomness, especially when studying relative randomness. In this paper we extend van Lambalgen's Theorem ...
NDJFL
2010
12 years 11 months ago
2010
l Abstraction via the Frege Quantifier G. Aldo Antonelli Abstract This paper presents a formalization of first-order aritharacterizing the natural numbers as abstracta of the equin...
NDJFL
2010
12 years 11 months ago
2010
The weakly random reals contain not only the Schnorr random reals as a subclass but also the weakly 1-generic reals and therefore the n-generic reals for every n. While the class o...
NDJFL
2010
12 years 11 months ago
2010
The question of the origin of polyadic expressivity is explored and the results are brought to bear on Bertrand Russell's 1903 theory of denoting concepts, which is the main o...