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FUIN
2007
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13 years 11 months ago
An Algebraic Characterization of the Halting Probability
Using 1947 work of Post showing that the word problem for semigroups is unsolvable, we explicitly exhibit an algebraic characterization of the bits of the halting probability Ω....
Gregory J. Chaitin
CORR
2008
Springer
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13 years 11 months ago
Every Computably Enumerable Random Real Is Provably Computably Enumerable Random
We prove that every computably enumerable (c.e.) random real is provable in Peano Arithmetic (PA) to be c.e. random. A major step in the proof is to show that the theorem stating ...
Cristian S. Calude, Nicholas J. Hay