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» Proofs as Polynomials
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81
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CASC
2009
Springer
157views Mathematics» more  CASC 2009»
15 years 4 months ago
On the Complexity of Reliable Root Approximation
This work addresses the problem of computing a certified ǫ-approximation of all real roots of a square-free integer polynomial. We proof an upper bound for its bit complexity, b...
Michael Kerber
70
Voted
FOCS
2002
IEEE
15 years 3 months ago
Rapidly Mixing Markov Chains for Sampling Contingency Tables with a Constant Number of Rows
We consider the problem of sampling almost uniformly from the set of contingency tables with given row and column sums, when the number of rows is a constant. Cryan and Dyer [3] h...
Mary Cryan, Martin E. Dyer, Leslie Ann Goldberg, M...
99
Voted
RTA
2010
Springer
15 years 2 months ago
Closing the Gap Between Runtime Complexity and Polytime Computability
In earlier work, we have shown that for confluent term rewrite systems (TRSs for short), innermost polynomial runtime complexity induces polytime computability of the functions de...
Martin Avanzini, Georg Moser
106
Voted
FOCS
1995
IEEE
15 years 1 months ago
Free Bits, PCPs and Non-Approximability - Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs PCPs the approximability of NP-optimization problems. The emphasis is on prov...
Mihir Bellare, Oded Goldreich, Madhu Sudan
77
Voted
CRYPTO
2009
Springer
144views Cryptology» more  CRYPTO 2009»
15 years 4 months ago
On the Composition of Public-Coin Zero-Knowledge Protocols
Abstract. We show that only languages in BPP have public-coin, blackbox zero-knowledge protocols that are secure under an unbounded (polynomial) number of parallel repetitions. Thi...
Rafael Pass, Wei-Lung Dustin Tseng, Douglas Wikstr...