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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
ECCC
2002
103views more  ECCC 2002»
13 years 8 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák
TYPES
2000
Springer
14 years 10 days ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
FOCS
2008
IEEE
14 years 3 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow
EUROCRYPT
2008
Springer
13 years 10 months ago
Isolated Proofs of Knowledge and Isolated Zero Knowledge
We introduce a new notion called -isolated proofs of knowledge ( -IPoK). These are proofs of knowledge where a cheating prover is allowed to exchange up to bits of communication wi...
Ivan Damgård, Jesper Buus Nielsen, Daniel Wi...