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IPPS
1997
IEEE
15 years 8 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
15 years 7 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
15 years 7 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»
15 years 10 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»
15 years 2 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