The hierarchy of boolean circuits
Computers and Artificial Intelligence
Lower bounds to the complexity of symmetric Boolean functions
Theoretical Computer Science
On lower bounds for read-k-times branching programs
Computational Complexity
On separating the read-k-times branching program hierarchy
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
On the nonapproximability of boolean Function by OBDDs and read-k-times Branching Programs
Information and Computation
A Lower Bound on Complexity of Branching Programs (Extended Abstract)
Proceedings of the Mathematical Foundations of Computer Science 1984
Randomness versus Nondeterminism for Read-Once and Read- k Branching Programs
STACS '03 Proceedings of the 20th Annual Symposium on Theoretical Aspects of Computer Science
Lower Bounds for Deterministic and Nondeterministic Branching Programs
FCT '91 Proceedings of the 8th International Symposium on Fundamentals of Computation Theory
On the Hierarchy of Nondeterministic Branching k-Programs
FCT '97 Proceedings of the 11th International Symposium on Fundamentals of Computation Theory
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Previously it was shown by the author that it is possible to reduce obtaining of lower bounds on the complexity of Boolean functions for branching programs without restriction to obtaining of lower bounds on the complexity of minorants of the considered function for branching programs with restriction on the number of occurrences of a variable in a path (read-k-times branching programs). Theorems that reduce the problem of nonlinear lower bounds on the complexity of Boolean functions for branching programs to the problem of lower bounds on the complexity of covering of the set of “ones” of a Boolean function by functions of the defined type or to the problem of obtaining the upper bounds on the number of “ones” of a Boolean function in i-faces of a cube of the defined dimension are presented. A survey of bounds obtained by this method is given.