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computability theory

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    • US Pronunciation
    • US IPA

Definitions of computability theory words

  • noun Technical meaning of computability theory (mathematics)   The area of theoretical computer science concerning what problems can be solved by any computer. A function is computable if an algorithm can be implemented which will give the correct output for any valid input. Since computer programs are countable but real numbers are not, it follows that there must exist real numbers that cannot be calculated by any program. Unfortunately, by definition, there isn't an easy way of describing any of them! In fact, there are many tasks (not just calculating real numbers) that computers cannot perform. The most well-known is the halting problem, the busy beaver problem is less famous but just as fascinating. 1
  • noun computability theory (logic) Recursion theory. 0
  • noun computability theory (computer science) The branch of the theory of computation that studies which problems are computationally solvable using different models. 0

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