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» Polynomial Equivalence Problems: Algorithmic and Theoretical...
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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
WADS
2009
Springer
226views Algorithms» more  WADS 2009»
14 years 2 months ago
Integer Programming: Optimization and Evaluation Are Equivalent
Abstract We show that if one can find the optimal value of an integer programming problem min{cx : Ax ≥ b, x ∈ Zn +} in polynomial time, then one can find an optimal solution...
James B. Orlin, Abraham P. Punnen, Andreas S. Schu...
IJAC
2007
59views more  IJAC 2007»
13 years 7 months ago
Automorphic Equivalence Problem for Free Associative Algebras of Rank Two
Let K x, y be the free associative algebra of rank 2 over an algebraically closed constructive field of any characteristic. We present an algorithm which decides whether or not tw...
Vesselin Drensky, Jie-Tai Yu
SAS
2004
Springer
14 years 1 months ago
A Polynomial-Time Algorithm for Global Value Numbering
We describe a polynomial-time algorithm for global value numbering, which is the problem of discovering equivalences among program sub-expressions. We treat all conditionals as non...
Sumit Gulwani, George C. Necula
MST
2011
231views Hardware» more  MST 2011»
12 years 10 months ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma