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» Polynomial Equivalence Problems: Algorithmic and Theoretical...
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PKC
2007
Springer
165views Cryptology» more  PKC 2007»
15 years 12 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»
16 years 10 days 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»
15 years 5 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
15 years 11 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»
14 years 8 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