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  1. Computability is 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 the theory of computation within computer science. The computability of a problem is closely linked to the existence of an algorithm to solve the problem.
    en.wikipedia.org/wiki/Computability
    Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since expanded to include the study of generalized computability and definability.
    en.wikipedia.org/wiki/Computability_theory
     
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    Jun 24, 2004 · Computability and Complexity First published Thu Jun 24, 2004; substantive revision Mon Oct 18, 2021 A mathematical problem is computable if it can be solved in principle by a computing device.

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