| Issue |
RAIRO-Theor. Inf. Appl.
Volume 35, Number 2, March-April 2001
|
|
|---|---|---|
| Page(s) | 149 - 162 | |
| DOI | https://doi.org/10.1051/ita:2001113 | |
| Published online | 15 April 2002 | |
Restricted Nondeterministic Read-Once Branching Programs and an Exponential Lower Bound for Integer Multiplication
FB Informatik, LS2, Univ. Dortmund,
44221 Dortmund, Germany; (bollig@ls2.cs.uni-dortmund.de)
Received:
17
April
2000
Accepted:
9
March
2001
Branching programs are a well established computation model for Boolean functions, especially read-once branching programs have been studied intensively. In this paper the expressive power of nondeterministic read-once branching programs, more precisely the class of functions representable in polynomial size, is investigated. For that reason two restricted models of nondeterministic read-once branching programs are defined and a lower bound method is presented. Furthermore, the first exponential lower bound for integer multiplication on the size of a nondeterministic nonoblivious read-once branching program model is proven.
Mathematics Subject Classification: 68Q05 / 68Q10 / 68Q15 / 94C10
Key words: Computational complexity / read-once branching programs / nondeterminism / integer multiplication.
© EDP Sciences, 2001
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