Halting hunger

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Computing halting probabilities from other halting probabilities

The halting probability of a Turing machine is the probability that the machine will halt if it starts with a random stream written on its one-way input tape. When the machine is universal, this probability is referred to as Chaitin’s omega number, and is the most well known example of a real which is random in the sense of Martin-Löf. Although omega numbers depend on the underlying universal T...

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ژورنال

عنوان ژورنال: Nature Reviews Neuroscience

سال: 2016

ISSN: 1471-003X,1471-0048

DOI: 10.1038/nrn.2016.156