What does it mean when something is computable?

capable of being computed
Definition of computable : capable of being computed.

What does it mean for a problem to be computable?

A mathematical problem is computable if it can be solved in principle by a computing device. Some common synonyms for “computable” are “solvable”, “decidable”, and “recursive”. Hilbert believed that all mathematical problems were solvable, but in the 1930’s Gödel, Turing, and Church showed that this is not the case.

Is Computably a word?

In a computable manner. With regard to computability.

What things are not computable?

A non-computable is a problem for which there is no algorithm that can be used to solve it. Most famous example of a non-computablity (or undecidability) is the Halting Problem.

What is not computable?

Is Uncomputable a word?

Not computable; that cannot be computed.

Are all real numbers computable?

Real numbers used in any explicit way in traditional mathematics are always computable in this sense. But as Turing pointed out, the overwhelming majority of all possible real numbers are not computable. For certainly there can be no more computable real numbers than there are possible Turing machines.

What does it mean for a function to be computable?

Computability of a function is an informal notion. One way to describe it is to say that a function is computable if its value can be obtained by an effective procedure.

What are some examples of computability?

The most common notions of computability only make sense when you’re talking about sets of natural numbers, or things which can be encoded as sets of natural numbers (i.e. functions, relations, sets of n-tuples of natural numbers, real numbers, etc.).

What is an example of a computable number?

Take for instance Chaitin’s constant ( Chaitin’s constant – Wikipedia ,) also known as the ‘halting probability’, Ω. A real number is called computable if there is an algorithm which, given n, returns the first n digits of the number.

What is the definition of a computable language?

A language is called computable (synonyms: recursive, decidable) if there is a computable function f such that for each word w over the alphabet, f(w) = 1 if the word is in the language and f(w) = 0 if the word is not in the language.