A new function algebra of EXPTIME functions by safe nested recursion

Toshiyasu Arai, Naohi Eguchi · ACM Transactions on Computational Logic · 2009

Bellantoni and Cook have given a function-algebra characterization of the polynomial-time computable functions via an unbounded recursion scheme which is called safe recursion. Inspired by their work, we characterize the exponential-time computable functions with the use of a safe variant of nested recursion.

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