Complexity theoretical results on nondeterministic graph-driven read-once branching programs
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 37 (2003) no. 1, pp. 51-66.

Branching programs are a well-established computation model for boolean functions, especially read-once branching programs (BP1s) have been studied intensively. Recently two restricted nondeterministic (parity) BP1 models, called nondeterministic (parity) graph-driven BP1s and well-structured nondeterministic (parity) graph-driven BP1s, have been investigated. The consistency test for a BP-model $M$ is the test whether a given BP is really a BP of model $M$. Here it is proved that the consistency test is co-NP-complete for nondeterministic (parity) graph-driven BP1s. Moreover, a lower bound technique for nondeterministic graph-driven BP1s is presented. The method generalizes a technique for the well-structured model and is applied in order to answer in the affirmative the open question whether the model of nondeterministic graph-driven BP1s is a proper restriction of nondeterministic BP1s (with respect to polynomial size).

DOI : https://doi.org/10.1051/ita:2003010
Classification : 68Q05,  68Q15,  94C10
Mots clés : computational complexity, read-once branching programs, nondeterminism, lower bounds
@article{ITA_2003__37_1_51_0,
author = {Bollig, Beate},
title = {Complexity theoretical results on nondeterministic graph-driven read-once branching programs},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {51--66},
publisher = {EDP-Sciences},
volume = {37},
number = {1},
year = {2003},
doi = {10.1051/ita:2003010},
zbl = {1084.68049},
mrnumber = {1991751},
language = {en},
url = {http://www.numdam.org/item/ITA_2003__37_1_51_0/}
}
Bollig, Beate. Complexity theoretical results on nondeterministic graph-driven read-once branching programs. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 37 (2003) no. 1, pp. 51-66. doi : 10.1051/ita:2003010. http://www.numdam.org/item/ITA_2003__37_1_51_0/

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