Zero-Error Affine, Unitary, and Probabilistic OBDDs

Rishat Ibrahimov; Kamil Khadiev; Krisjanis Prusis; Jevgenijs Vihrovs; Abuzer Yakaryilmaz

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arXiv · 1703.07184

Zero-Error Affine, Unitary, and Probabilistic OBDDs

Rishat Ibrahimov·Kamil Khadiev·Krisjanis Prusis·Jevgenijs Vihrovs·Abuzer Yakaryilmaz

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Abstract

We introduce the affine OBDD model and show that zero-error affine OBDDs can be exponentially narrower than bounded-error unitary and probabilistic OBDDs on certain problems. Moreover, we show that Las Vegas unitary and probabilistic OBDDs can be quadratically narrower than deterministic OBDDs. We also obtain the same results by considering the automata versions of these models.

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Rishat Ibrahimov, Kamil Khadiev, Krisjanis Prusis, Jevgenijs Vihrovs, Abuzer Yakaryilmaz. 2017-05-09. Zero-Error Affine, Unitary, and Probabilistic OBDDs. https://arxiv.org/abs/1703.07184

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