computability

Noun

Meaning

computability (countable and uncountable, plural computabilities)

(computing theory) The property of being computable by purely mechanical means.

Synonyms

Examples

Feferman 1999, p. 1 Alonzo Church and Alan Turing proposed formal models of computability, giving independent negative solutions to Hilbert's Entscheidungsproblem in 1936 and 1937, respectively. Source: Internet

Classical recursion theory focuses on the computability of functions from the natural numbers to the natural numbers. Source: Internet

Comments by Gödel on the subject suggest this view, e.g. "the correct definition of mechanical computability was established beyond any doubt by Turing". Source: Internet

Computability theory The first result of computability theory is that it is impossible in general to predict what a Turing-complete program will do over an arbitrarily long time. Source: Internet

Connections with computer science main The study of computability theory in computer science is closely related to the study of computability in mathematical logic. Source: Internet

During this year, Gödel also developed the ideas of computability and recursive functions to the point where he was able to present a lecture on general recursive functions and the concept of truth. Source: Internet

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