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FOCS
2005
IEEE
15 years 3 months ago
Safraless Decision Procedures
The automata-theoretic approach is one of the most fundamental approaches to developing decision procedures in mathematical logics. To decide whether a formula in a logic with the...
Orna Kupferman, Moshe Y. Vardi
ACNS
2005
Springer
97views Cryptology» more  ACNS 2005»
15 years 3 months ago
Thompson's Group and Public Key Cryptography
Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established prot...
Vladimir Shpilrain, Alexander Ushakov
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
15 years 3 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
AB
2007
Springer
15 years 1 months ago
Prefix Reversals on Binary and Ternary Strings
Given a permutation , the application of prefix reversal f(i) to reverses the order of the first i elements of . The problem of Sorting By Prefix Reversals (also known as pancake ...
Cor A. J. Hurkens, Leo van Iersel, Judith Keijsper...
ESA
2007
Springer
155views Algorithms» more  ESA 2007»
15 years 1 months ago
Complete, Exact and Efficient Implementation for Computing the Adjacency Graph of an Arrangement of Quadrics
We present a complete, exact and efficient implementation to compute the adjacency graph of an arrangement of quadrics, i.e. surfaces of algebraic degree 2. This is a major step t...
Laurent Dupont, Michael Hemmer, Sylvain Petitjean,...