What does computability theory mean?
Definitions for computability theory
com·putabil·i·ty the·o·ry
This dictionary definitions page includes all the possible meanings, example usage and translations of the word computability theory.
Wiktionary
computability theorynoun
Recursion theory.
computability theorynoun
The branch of the theory of computation that studies which problems are computationally solvable using different models of computation.
Wikipedia
Computability theory
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. In these areas, computability theory overlaps with proof theory and effective descriptive set theory.
Wikidata
Computability theory
Computability theory, also called recursion theory, is a branch of mathematical logic, of computer science, and of the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since grown to include the study of generalized computability and definability. In these areas, recursion theory overlaps with proof theory and effective descriptive set theory. The basic questions addressed by recursion theory are "What does it mean for a function on the natural numbers to be computable?" and "How can noncomputable functions be classified into a hierarchy based on their level of noncomputability?". The answers to these questions have led to a rich theory that is still being actively researched. Recursion theorists in mathematical logic often study the theory of relative computability, reducibility notions and degree structures described in this article. This contrasts with the theory of subrecursive hierarchies, formal methods and formal languages that is common in the study of computability theory in computer science. There is considerable overlap in knowledge and methods between these two research communities, however, and no firm line can be drawn between them.
Numerology
Chaldean Numerology
The numerical value of computability theory in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of computability theory in Pythagorean Numerology is: 5
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"computability theory." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/computability+theory>.
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