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IPPS
1997
IEEE
14 years 2 months ago
Fast Parallel Computation of the Polynomial Shift
Given an n-degree polynomial fx over an arbitrary ring, the shift of fx by c is the operation which computes coefficients of the polynomial fx + c. In this paper we conside...
Eugene V. Zima
AISC
2006
Springer
14 years 1 months ago
An Algorithm for Computing the Complete Root Classification of a Parametric Polynomial
Abstract. The Complete Root Classification for a univariate polynomial with symbolic coefficients is the collection of all the possible cases of its root classification, together w...
Songxin Liang, David J. Jeffrey
FSTTCS
2006
Springer
14 years 1 months ago
Some Results on Average-Case Hardness Within the Polynomial Hierarchy
Abstract. We prove several results about the average-case complexity of problems in the Polynomial Hierarchy (PH). We give a connection among average-case, worst-case, and non-unif...
Aduri Pavan, Rahul Santhanam, N. V. Vinodchandran
ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
14 years 4 months ago
Fast algorithms for differential equations in positive characteristic
We address complexity issues for linear differential equations in characteristic p > 0: resolution and computation of the p-curvature. For these tasks, our main focus is on al...
Alin Bostan, Éric Schost
IANDC
2010
68views more  IANDC 2010»
13 years 8 months ago
On the complexity of checking semantic equivalences between pushdown processes and finite-state processes
Simulation preorder/equivalence and bisimulation equivalence are the most commonly used equivalences in concurrency theory. Their standard definitions are often called strong sim...
Antonín Kucera, Richard Mayr