Definition of "computability" [computability]

• The property of being computable by purely mechanical means. (noun)

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• "The halting problem is a question in computability theory which asks if an algorithm can be found that decides whether a program (a Turning machine) will finish, or run forever, once given a description of such a program and a finite amount of input."
• "Ada Lovelace, Haskell Curry, and Noam Chomsky all worked heavily on the foundations of computation/computability theory, and algorithmic programming."
• "Nicolas Bourbaki, who never existed, is named in the Bourbaki-Witt theorem, used in computability theory and domain theory."