Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
The complexity of Boolean functions
The complexity of Boolean functions
Meanders and their applications in lower bounds arguments
Journal of Computer and System Sciences - 27th IEEE Conference on Foundations of Computer Science October 27-29, 1986
Polynomial size &OHgr;-branching programs and their computational power
Information and Computation
Information Processing Letters
Graph driven BDDs—a new data structure for Boolean functions
Theoretical Computer Science
On lower bounds for read-k-times branching programs
Computational Complexity
Communication complexity and parallel computing
Communication complexity and parallel computing
Communication complexity
On separating the read-k-times branching program hierarchy
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Completeness and non-completeness results with respect to read-once projections
Information and Computation
A Lower Bound for Integer Multiplication with Read-Once Branching Programs
SIAM Journal on Computing
Efficient Boolean Manipulation with OBDD's Can be Extended to FBDD's
IEEE Transactions on Computers
A Non-Linear Time Lower Bound for Boolean Branching Programs
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Graph-Driven Free Parity BDDs: Algorithms and Lower Bounds
MFCS '01 Proceedings of the 26th International Symposium on Mathematical Foundations of Computer Science
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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, i.e., 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.