A new function algebra of EXPTIME functions by safe nested recursion

Toshiyasu Arai; Naohi Eguchi

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A new function algebra of EXPTIME functions by safe nested recursion

Toshiyasu Arai·Naohi Eguchi

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Abstract

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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Toshiyasu Arai, Naohi Eguchi. 2008-03-05. A new function algebra of EXPTIME functions by safe nested recursion. https://arxiv.org/abs/cs/0607118

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