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* A formal definition of [[computation]] and [[computability]], and proof that there are computationally [[halting problem|unsolvable]] ; [[Computability theory (computer science)|Computability theory]]

...y theory is a subject of current research. At least in some disciplines of computability theory, the notion of randomness turns out to be identified with computatio

...s well beyond the processing capability of current computer systems: see [[computability]] for reasons.

...author's definition of a computable function, and to an identification of computability † with effective calculability . . . . ...his "...idea of an algorithm — an effective procedure..." in chapter 5.1 ''Computability, Effective Procedues and Algorithms. Infinite machines."

...]], and his presentation of the [[Church-Turing thesis]].<ref>Brookshear, "Computability: Foundations of Recursive Function Theory". Today recursion theory is mostl