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CALCO
2009
Springer
158views Mathematics» more  CALCO 2009»
15 years 10 months ago
Coalgebraic Symbolic Semantics
The operational semantics of interactive systems is usually described by labeled transition systems. Abstract semantics (that is defined in terms of bisimilarity) is characterized...
Filippo Bonchi, Ugo Montanari
CASC
2009
Springer
157views Mathematics» more  CASC 2009»
15 years 10 months ago
On the Complexity of Reliable Root Approximation
This work addresses the problem of computing a certified ǫ-approximation of all real roots of a square-free integer polynomial. We proof an upper bound for its bit complexity, b...
Michael Kerber
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
ISSAC
2009
Springer
141views Mathematics» more  ISSAC 2009»
15 years 10 months ago
Algorithms for regular solutions of higher-order linear differential systems
We study systems of higher-order linear differential equations having a regular singularity at the origin. Using the properties of matrix polynomials, we develop efficient method...
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bach...
ISSAC
2009
Springer
120views Mathematics» more  ISSAC 2009»
15 years 10 months ago
A non-holonomic systems approach to special function identities
We extend Zeilberger’s approach to special function identities to cases that are not holonomic. The method of creative telescoping is thus applied to definite sums or integrals...
Frédéric Chyzak, Manuel Kauers, Brun...