Cons-free Programming with Immutable Functions

Cynthia Kop

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arXiv · 1711.03424

Cons-free Programming with Immutable Functions

Cynthia Kop

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Abstract

We investigate the power of non-determinism in purely functional programming languages with higher-order types. Specifically, we set out to characterise the hierarchy NP $\subseteq$ NEXP $\subseteq$ NEXP$^{(2)}$ $\subseteq \cdots \subseteq$ NEXP$^{(k)}$ $\subseteq \cdots$ solely in terms of higher-typed, purely functional programs. Although the work is incomplete, we present an initial approach using cons-free programs with immutable functions.

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Cynthia Kop. 2017-11-09. Cons-free Programming with Immutable Functions. https://arxiv.org/abs/1711.03424

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