Primitive recursive function: Difference between revisions

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The set of primitive recursive functions does not encompass everything that we think of as computable. Nevertheless they form an important class and many of the functions normally studied in number theory, and approximations to real-valued functions, are primitive recursive.
 
In order to formalize the full class of computable functions, we must allow for [[partial function]]s and introduce an additional operator to the above:, the ''unbounded search'' operator, (seewhich gives rise to the [[recursive function]])s.