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CSFW
2002
IEEE
14 years 3 months ago
Polynomial Fairness and Liveness
Important properties of many protocols are liveness or availability, i.e., that something good happens now and then. In asynchronous scenarios these properties obviously depend on...
Michael Backes, Birgit Pfitzmann, Michael Steiner,...
ISAAC
2003
Springer
141views Algorithms» more  ISAAC 2003»
14 years 4 months ago
Quasi-optimal Arithmetic for Quaternion Polynomials
Abstract. Fast algorithms for arithmetic on real or complex polynomials are wellknown and have proven to be not only asymptotically efficient but also very practical. Based on Fas...
Martin Ziegler
ISSAC
2004
Springer
185views Mathematics» more  ISSAC 2004»
14 years 4 months ago
Automatic generation of polynomial loop
In [17], an abstract framework for automatically generating loop invariants of imperative programs was proposed. This framework was then instantiated for the language of conjuncti...
Enric Rodríguez-Carbonell, Deepak Kapur
ISSAC
2004
Springer
159views Mathematics» more  ISSAC 2004»
14 years 4 months ago
Complexity issues in bivariate polynomial factorization
Many polynomial factorization algorithms rely on Hensel lifting and factor recombination. For bivariate polynomials we show that lifting the factors up to a precision linear in th...
Alin Bostan, Grégoire Lecerf, Bruno Salvy, ...
CASES
2004
ACM
14 years 4 months ago
Analytical computation of Ehrhart polynomials: enabling more compiler analyses and optimizations
Many optimization techniques, including several targeted specifically at embedded systems, depend on the ability to calculate the number of elements that satisfy certain conditio...
Sven Verdoolaege, Rachid Seghir, Kristof Beyls, Vi...
EMO
2005
Springer
175views Optimization» more  EMO 2005»
14 years 4 months ago
A New Analysis of the LebMeasure Algorithm for Calculating Hypervolume
We present a new analysis of the LebMeasure algorithm for calculating hypervolume. We prove that although it is polynomial in the number of points, LebMeasure is exponential in the...
R. Lyndon While
CSFW
2006
IEEE
14 years 4 months ago
Simulation-Based Security with Inexhaustible Interactive Turing Machines
Recently, there has been much interest in extending models for simulation-based security in such a way that the runtime of protocols may depend on the length of their input. Findi...
Ralf Küsters
STACS
2007
Springer
14 years 5 months ago
VPSPACE and a Transfer Theorem over the Reals
Abstract. We introduce a new class VPSPACE of families of polynomials. Roughly speaking, a family of polynomials is in VPSPACE if its coefficients can be computed in polynomial spa...
Pascal Koiran, Sylvain Perifel
COCOON
2007
Springer
14 years 5 months ago
Generating Minimal k-Vertex Connected Spanning Subgraphs
Abstract. We show that minimal k-vertex connected spanning subgraphs of a given graph can be generated in incremental polynomial time for any fixed k.
Endre Boros, Konrad Borys, Khaled M. Elbassioni, V...
ICC
2007
IEEE
14 years 5 months ago
PERD: Polynomial-based Event Region Detection in Wireless Sensor Networks
We propose a Polynomial-based scheme that addresses the problem of Event Region Detection (PERD) for wireless sensor networks (WSNs). Nodes of an aggregation tree perform function ...
Torsha Banerjee, Demin Wang, Bin Xie, Dharma P. Ag...