Computer Science – Other Computer Science
Scientific paper
2004-01-23
Computer Science
Other Computer Science
11 pages
Scientific paper
While it is well known that a Turing machine equipped with the ability to flip a fair coin cannot compute more that a standard Turing machine, we show that this is not true for a biased coin. Indeed, any oracle set $X$ may be coded as a probability $p_{X}$ such that if a Turing machine is given a coin which lands heads with probability $p_{X}$ it can compute any function recursive in $X$ with arbitrarily high probability. We also show how the assumption of a non-recursive bias can be weakened by using a sequence of increasingly accurate recursive biases or by choosing the bias at random from a distribution with a non-recursive mean. We conclude by briefly mentioning some implications regarding the physical realisability of such methods.
Kieu Tien D.
Ord Toby
No associations
LandOfFree
Using biased coins as oracles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Using biased coins as oracles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Using biased coins as oracles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-7795