Nondeterministic unitary OBDDs

Aida Gainutdinova; Abuzer Yakaryılmaz

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arXiv · 1612.07015

Nondeterministic unitary OBDDs

Aida Gainutdinova·Abuzer Yakaryılmaz

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Abstract

We investigate the width complexity of nondeterministic unitary OBDDs (NUOBDDs). Firstly, we present a generic lower bound on their widths based on the size of strong 1-fooling sets. Then, we present classically cheap functions that are expensive for NUOBDDs and vice versa by improving the previous gap. We also present a function for which neither classical nor unitary nondeterminism does help. Moreover, based on our results, we present a width hierarchy for NUOBDDs. Lastly, we provide the bounds on the widths of NUOBDDs for the basic Boolean operations negation, union, and intersection.

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BibTeX RIS

Aida Gainutdinova, Abuzer Yakaryılmaz. 2016-12-21. Nondeterministic unitary OBDDs. https://arxiv.org/abs/1612.07015

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