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IEEE Transactions on Computers
On the complexity of branching programs and decision trees for clique functions
Journal of the ACM (JACM)
Exponential lower bounds on the complexity of local and real-time branching programs
Journal of Information Processing and Cybernetics
Entropy of contact circuits and lower bounds on their complexity
Theoretical Computer Science - International Symposium on Mathematical Foundations of Computer Science, Bratisl
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Information and Computation
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On the size of binary decision diagrams representing Boolean functions
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On randomized one-round communication complexity
STOC '95 Proceedings of the twenty-seventh annual ACM symposium on Theory of computing
Communication complexity and parallel computing
Communication complexity and parallel computing
Communication complexity
Indexed BDDs: Algorithmic Advances in Techniques to Represent and Verify Boolean Functions
IEEE Transactions on Computers
Hierarchy theorems for kOBDDs and kIBDDs
Theoretical Computer Science
On O versus NP \cap co-NP for Decision Trees and Read-Once Branching Programs
MFCS '97 Proceedings of the 22nd International Symposium on Mathematical Foundations of Computer Science
Communication Complexity and Lower Bounds on Multilective Computations
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
On the Power of Randomized Branching Programs
ICALP '96 Proceedings of the 23rd International Colloquium on Automata, Languages and Programming
Randomization and Nondeterminism Are Comparable for Ordered Read-Once Branching Programs
ICALP '97 Proceedings of the 24th International Colloquium on Automata, Languages and Programming
STACS '97 Proceedings of the 14th Annual Symposium on Theoretical Aspects of Computer Science
Lower Bounds for Randomized Read-k-Times Branching Programs (Extended Abstract)
STACS '98 Proceedings of the 15th Annual Symposium on Theoretical Aspects of Computer Science
Lower bounds on the complexity of 1-time only branching programs
FCT '85 Fundamentals of Computation Theory
The Satisfiability Problem for Probabilistic Ordered Branching Programs
COCO '98 Proceedings of the Thirteenth Annual IEEE Conference on Computational Complexity
SAGA '01 Proceedings of the International Symposium on Stochastic Algorithms: Foundations and Applications
On the Power of Las Vegas II. Two-Way Finite Automata
ICAL '99 Proceedings of the 26th International Colloquium on Automata, Languages and Programming
Tradeoffs between Nondeterminism and Complexity for Communication Protocols and Branching Programs
STACS '00 Proceedings of the 17th Annual Symposium on Theoretical Aspects of Computer Science
Proceedings of the 19th Conference on Foundations of Software Technology and Theoretical Computer Science
Relations Between Communication Complexity, Linear Arrangements, and Computational Complexity
FST TCS '01 Proceedings of the 21st Conference on Foundations of Software Technology and Theoretical Computer Science
On the Power of Randomized Pushdown Automata
DLT '01 Revised Papers from the 5th International Conference on Developments in Language Theory
On the power of nondeterminism and Las Vegas randomization for two-dimensional finite automata
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Theoretical Computer Science - Insightful theory
Pushdown automata and multicounter machines, a comparison of computation modes
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
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In this paper, a simple technique which unifies the known approaches for proving lower bound results on the size of deterministic, nondeterministic, and randomized OBDDs and kOBDDs is described. This technique is applied to establish a generic lower bound on the size of randomized OBDDs with bounded error for the so-called "k-stable" functions which have been studied in the literature on read-once branching programs and OBDDs for a long time. It follows by our result that several standard functions are not contained in the analog of the class BPP for OBDDs. It is well-known that k-stable functions are hard for deterministic read-once branching programs. Nevertheless, there is no generic lower bound on the size of randomized read-once branching programs for these functions as for OBDDs. This is proven by presenting a randomized read-once branching program of polynomial size, even with zero error, for a certain k-stable function. As a consequence, we obtain that P ⊊ ZPP ∩ NP ∩ coNP for the analogs of these classes defined in terms of the size of read-once branching programs.