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» The Proof Complexity of Polynomial Identities
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STACS
2001
Springer
13 years 10 months ago
Small PCPs with Low Query Complexity
Most known constructions of probabilistically checkable proofs (PCPs) either blow up the proof size by a large polynomial, or have a high (though constant) query complexity. In thi...
Prahladh Harsha, Madhu Sudan
TCC
2009
Springer
123views Cryptology» more  TCC 2009»
14 years 6 months ago
Hierarchical Identity Based Encryption with Polynomially Many Levels
We present the first hierarchical identity based encryption (HIBE) system that has full security for more than a constant number of levels. In all prior HIBE systems in the literat...
Craig Gentry, Shai Halevi
COCO
2005
Springer
128views Algorithms» more  COCO 2005»
13 years 11 months ago
More on Noncommutative Polynomial Identity Testing
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...
Andrej Bogdanov, Hoeteck Wee
ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 1 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
LICS
2002
IEEE
13 years 11 months ago
The Proof Complexity of Linear Algebra
We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We...
Michael Soltys, Stephen A. Cook