Restricted nondeterministic read-once branching programs and an exponential lower bound for integer multiplication

Bollig, Beate

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 2, pp. 149-162

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.

Classification : 68Q05, 68Q10, 68Q15, 94C10
Keywords: computational complexity, read-once branching programs, nondeterminism, integer multiplication

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