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» Randomness and halting probabilities
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FUIN
2008
57views more  FUIN 2008»
13 years 7 months ago
The Halting Probability via Wang Tiles
Gregory J. Chaitin
ICML
1996
IEEE
14 years 8 months ago
On the Learnability of the Uncomputable
Within Valiant'smodel of learning as formalized by Kearns, we show that computable total predicates for two formallyuncomputable problems the classical Halting Problem, and t...
Richard H. Lathrop
STOC
1997
ACM
91views Algorithms» more  STOC 1997»
13 years 11 months ago
Lower Bounds for Distributed Coin-Flipping and Randomized Consensus
We examine a class of collective coin- ipping games that arises from randomized distributed algorithms with halting failures. In these games, a sequence of local coin ips is gener...
James Aspnes
IJBC
2007
80views more  IJBC 2007»
13 years 7 months ago
Exact Approximations of omega Numbers
A Chaitin Omega number is the halting probability of a universal prefix-free Turing machine. Every Omega number is simultaneously computably enumerable (the limit of a computable...
Cristian S. Calude, Michael J. Dinneen
IPL
2008
79views more  IPL 2008»
13 years 7 months ago
The probability of "undefined" (non-converging) output in generating the universal probability distribution
In order to generate a universal probability distribution to extrapolate a binary string x of length i, we feed random bits into a universal device, M. When we find an input strin...
Ray J. Solomonoff