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» Positive Versions of Polynomial Time
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ICDT
1995
ACM
91views Database» more  ICDT 1995»
15 years 1 months ago
Some Positive Results for Boundedness of Multiple Recursive Rules
Following results are sketched in this extended abstract: (1) Datalog recursive programs where each rule has at most one subgoal called unit recursions are shown to be bounded, wit...
Ke Wang
ICPPW
2005
IEEE
15 years 3 months ago
Factoring Solution Sets of Polynomial Systems in Parallel
We report on a £rst parallel implementation of a recent algorithm to factor positive dimensional solution sets of polynomial systems. As the algorithm uses homotopy continuation,...
Anton Leykin, Jan Verschelde
BIRTHDAY
2009
Springer
15 years 4 months ago
Polynomial Precise Interval Analysis Revisited
We consider a class of arithmetic equations over the complete lattice of integers (extended with −∞ and ∞) and provide a polynomial time algorithm for computing least solutio...
Thomas Gawlitza, Jérôme Leroux, Jan R...
CORR
2007
Springer
124views Education» more  CORR 2007»
14 years 9 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
ESA
2007
Springer
97views Algorithms» more  ESA 2007»
15 years 4 months ago
To Fill or Not to Fill: The Gas Station Problem
In this paper we study several routing problems that generalize shortest paths and the Traveling Salesman Problem. We consider a more general model that incorporates the actual co...
Samir Khuller, Azarakhsh Malekian, Julián M...