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» The Proof Complexity of Polynomial Identities
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CORR
2012
Springer
183views Education» more  CORR 2012»
12 years 5 months ago
Twisting q-holonomic sequences by complex roots of unity
A sequence fn(q) is q-holonomic if it satisfies a nontrivial linear recurrence with coefficients polynomials in q and qn . Our main theorem states that q-holonomicity is preserve...
Stavros Garoufalidis, Christoph Koutschan
CSL
2007
Springer
14 years 4 months ago
Proofs, Programs and Abstract Complexity
Programs and Abstract Complexity A. Beckmann University of Wales Swansea Swansea, UK Axiom systems are ubiquitous in mathematical logic, one famous and well studied example being ...
Arnold Beckmann
CRYPTO
2006
Springer
224views Cryptology» more  CRYPTO 2006»
14 years 1 months ago
Anonymous Hierarchical Identity-Based Encryption (Without Random Oracles)
We present an identity-based cryptosystem that features fully anonymous ciphertexts and hierarchical key delegation. We give a proof of security in the standard model, based on the...
Xavier Boyen, Brent Waters
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 7 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
CEC
2009
IEEE
14 years 4 months ago
Rigorous time complexity analysis of Univariate Marginal Distribution Algorithm with margins
—Univariate Marginal Distribution Algorithms (UMDAs) are a kind of Estimation of Distribution Algorithms (EDAs) which do not consider the dependencies among the variables. In thi...
Tianshi Chen, Ke Tang, Guoliang Chen, Xin Yao