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CORR
2010
Springer
163views Education» more  CORR 2010»
13 years 4 months ago
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a multivariate polynomial of degree four (or higher ev...
Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Par...
SAT
2007
Springer
129views Hardware» more  SAT 2007»
14 years 1 months ago
Minimum 2CNF Resolution Refutations in Polynomial Time
We present an algorithm for finding a smallest Resolution refutation of any 2CNF in polynomial time.
Joshua Buresh-Oppenheim, David G. Mitchell
PKC
2007
Springer
165views Cryptology» more  PKC 2007»
14 years 1 months ago
Deterministic Polynomial Time Equivalence Between Factoring and Key-Recovery Attack on Takagi's RSA
Abstract. For RSA, May showed a deterministic polynomial time equivalence of computing d to factoring N(= pq). On the other hand, Takagi showed a variant of RSA such that the decry...
Noboru Kunihiro, Kaoru Kurosawa
ESOP
2010
Springer
14 years 4 months ago
Amortized Resource Analysis with Polynomial Potential - A Static Inference of Polynomial Bounds for Functional Programs
In 2003, Hofmann and Jost introduced a type system that uses a potential-based amortized analysis to infer bounds on the resource consumption of (first-order) functional programs. ...
Jan Hoffmann and Martin Hofmann
CIE
2009
Springer
14 years 2 months ago
On Generating Independent Random Strings
It is shown that from two strings that are partially random and independent (in the sense of Kolmogorov complexity) it is possible to effectively construct polynomially many strin...
Marius Zimand