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Journal of the ACM (JACM)
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Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
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Computational Complexity
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Theoretical Computer Science - Logic, language, information and computation
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Journal of Computer and System Sciences - Special issue on FOCS 2003
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Computational Complexity
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STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
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Journal of the ACM (JACM)
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Computational Complexity
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ICALP '09 Proceedings of the 36th International Colloquium on Automata, Languages and Programming: Part I
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APPROX '09 / RANDOM '09 Proceedings of the 12th International Workshop and 13th International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
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Proceedings of the forty-second ACM symposium on Theory of computing
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ACM SIGACT News
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APPROX/RANDOM'10 Proceedings of the 13th international conference on Approximation, and 14 the International conference on Randomization, and combinatorial optimization: algorithms and techniques
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Journal of Computer and System Sciences
Infeasibility of instance compression and succinct PCPs for NP
Journal of Computer and System Sciences
Solvable Group Isomorphism Is (Almost) in NP ∩ coNP
ACM Transactions on Computation Theory (TOCT)
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FCT'11 Proceedings of the 18th international conference on Fundamentals of computation theory
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STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
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FSTTCS'04 Proceedings of the 24th international conference on Foundations of Software Technology and Theoretical Computer Science
Nonuniform ACC Circuit Lower Bounds
Journal of the ACM (JACM)
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Traditional hardness versus randomness results focus on time-efficient randomized decision procedures. We generalize these trade-offs to a much wider class of randomized processes. We work out various applications, most notably to derandomizing Arthur-Merlin games. We show that every language with a bounded round Arthur-Merlin game has subexponential size membership proofs for infinitely many input lengths unless exponential time coincides with the third level of the polynomial-time hierarchy (and hence the polynomial-time hierarchy collapses). Since the graph nonisomorphism problem has a bounded round Arthur-Merlin game, this provides the first strong evidence that graph nonisomorphism has subexponential size proofs. We also establish hardness versus randomness trade-offs for space bounded computation.