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Bollig, Beate
Restricted nondeterministic read-once branching programs and an exponential lower bound for integer multiplication. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, 35 no. 2 (2001), p. 149-162
Texte intégral djvu | pdf | Analyses MR 1862460 | Zbl 0992.68057 | 1 citation dans Numdam
Class. Math.: 68Q05, 68Q10, 68Q15, 94C10
Mots clés: computational complexity, read-once branching programs, nondeterminism, integer multiplication

URL stable: http://www.numdam.org/item?id=ITA_2001__35_2_149_0

Résumé

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.

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