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» The Proof Complexity of Linear Algebra
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ENTCS
2008
91views more  ENTCS 2008»
13 years 8 months ago
Newton's method and the Computational Complexity of the Fundamental Theorem of Algebra
Several different uses of Newton's method in connection with the Fundamental Theorem of Algebra are pointed out. Theoretical subdivision schemes have been combined with the n...
Prashant Batra
LICS
2009
IEEE
14 years 2 months ago
The Inverse Taylor Expansion Problem in Linear Logic
Linear Logic is based on the analogy between algebraic linearity (i.e. commutation with sums and scalar products) and the computer science linearity (i.e. calling inputs only once...
Michele Pagani, Christine Tasson
CSL
2010
Springer
13 years 9 months ago
Formal Theories for Linear Algebra
We introduce two-sorted theories in the style of [CN10] for the complexity classes L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then desc...
Stephen Cook, Lila Fontes
CRYPTO
1999
Springer
103views Cryptology» more  CRYPTO 1999»
14 years 5 days ago
Information Theoretically Secure Communication in the Limited Storage Space Model
Abstract. We provide a simple secret-key two-party secure communication scheme, which is provably information-theoretically secure in the limited-storage-space model. The limited-s...
Yonatan Aumann, Michael O. Rabin
COCO
2009
Springer
117views Algorithms» more  COCO 2009»
14 years 2 months ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret