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» Positive Versions of Polynomial Time
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ICDT
1995
ACM
91views Database» more  ICDT 1995»
15 years 3 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 5 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 6 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 11 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 6 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...