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Examples of computable
computable
The image of a computable set under a total computable bijection is computable.
From the en.wikipedia.org
If this function is computable then the associated decision problem is decidable.
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Thus there must be total computable functions that are not primitive recursive.
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Some constructivists accept the existence of only those reals that are computable.
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To actually develop analysis over computable numbers, some care must be taken.
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The class of decidable problems is reducible to the class of computable functions.
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The function F is called computable if there is a Turing machine that computes it.
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The Internet would not exist without Alan Turing's work on computable numbers.
From the newscientist.com
Many of the functions studied in the context of number theory are computable.
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- May be computed or estimated; "a calculable risk"; "computable odds"; "estimable assets"
- In computability theory, a Turing reduction from a problem A to a problem B, named after Alan Turing, is a reduction which solves A, assuming B is already known (Rogers 1967, Soare 1987). ...
- Computability refers to the ability to solve a problem in an effective manner. It is a key topic of the field of computability theory within mathematical logic and computer science. The computability of a problem is closely linked to the existence of an algorithm to solve the problem.
