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CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 5 months ago
Computing the Least Fixed Point of Positive Polynomial Systems
We consider equation systems of the form X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where f1, . . . , fn are polynomials with positive real coefficients. In vector fo...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
STACS
2010
Springer
14 years 8 days ago
Computing Least Fixed Points of Probabilistic Systems of Polynomials
We study systems of equations of the form X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a poly
Javier Esparza, Andreas Gaiser, Stefan Kiefer
DLT
2008
13 years 6 months ago
Derivation Tree Analysis for Accelerated Fixed-Point Computation
We show that for several classes of idempotent semirings the least fixed-point of a polynomial system of equations X = f(X) is equal to the least fixed-point of a linear system obt...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
CSL
2009
Springer
13 years 9 months ago
Fixed-Point Definability and Polynomial Time
My talk will be a survey of recent results about the quest for a logic capturing polynomial time. In a fundamental study of database query languages, Chandra and Harel [4] first ra...
Martin Grohe
BIRTHDAY
2010
Springer
13 years 6 months ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe