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- Computability is the ability to solve a problem in an effective manner1. It is a key topic of the field of computability theory within mathematical logic and the theory of computation within computer science12. 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 degrees2.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.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/ComputabilityComputability 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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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. The most … See more
A central idea in computability is that of a (computational) problem, which is a task whose computability can be explored.
There are two key types of problems:
• A decision problem fixes a set S, which may be a set of … See moreA model of computation is a formal description of a particular type of computational process. The description often takes the form of an abstract machine that … See more
A number of computational models based on concurrency have been developed, including the parallel random-access machine and … See more
The Church–Turing thesis conjectures that there is no effective model of computing that can compute more mathematical functions than a … See more
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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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