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Preprint · arXiv · March 21, 2017

Zero-Error Affine, Unitary, and Probabilistic OBDDs

Rishat Ibrahimov, Kamil Ravilevich Khadiev, Krišjānis Prūsis, Jevgēnijs Vihrovs, Abuzer Yakaryılmaz

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.

semigroups and automata theoryComplexity and Algorithms in GraphsFormal Methods in Verificationordered binary decision diagramsLas Vegas algorithmsautomata

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