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» A Dichotomy Theorem for Polynomial Evaluation
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IJAC
2006
87views more  IJAC 2006»
13 years 5 months ago
Evaluation Properties of Symmetric Polynomials
By the fundamental theorem of symmetric polynomials, if P Q[X1, . . . , Xn] is symmetric, then it can be written P = Q(1, . . . , n), where 1, . . . , n are the elementary symmet...
Pierrick Gaudry, Éric Schost, Nicolas M. Th...
AISC
2008
Springer
13 years 7 months ago
Search Techniques for Rational Polynomial Orders
Polynomial interpretations are a standard technique used in almost all tools for proving termination of term rewrite systems (TRSs) automatically. Traditionally, one applies interp...
Carsten Fuhs, Rafael Navarro-Marset, Carsten Otto,...
FOCS
2007
IEEE
13 years 11 months ago
Parameterized Proof Complexity
We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixedparameter tractable. We consider proofs that witness that a given prop...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider
ECCC
2007
90views more  ECCC 2007»
13 years 5 months ago
Parameterized Proof Complexity: a Complexity Gap for Parameterized Tree-like Resolution
We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixed-parameter tractable. We consider proofs that witness that a given pro...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
13 years 11 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet