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EJC
2011
12 years 10 months ago
A Tutte-style proof of Brylawski's tensor product formula
We provide a new proof of Brylawski’s formula for the Tutte polynomial of the tensor product of two matroids. Our proof involves extending Tutte’s formula, expressing the Tutte...
Yuanan Diao, Gábor Hetyei, Kenneth Hinson
COCO
2009
Springer
117views Algorithms» more  COCO 2009»
14 years 1 months ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret
FOCS
1999
IEEE
13 years 11 months ago
A Study of Proof Search Algorithms for Resolution and Polynomial Calculus
This paper is concerned with the complexity of proofs and of searching for proofs in two propositional proof systems: Resolution and Polynomial Calculus (PC). For the former syste...
Maria Luisa Bonet, Nicola Galesi
CADE
1992
Springer
13 years 10 months ago
Polynomial Interpretations and the Complexity of Algorithms
The ability to use a polynomial iterpretation to prove termination of a rewrite system naturally prompts the question as to what restriction on complexity this imposes. The main r...
Adam Cichon, Pierre Lescanne
TAMC
2010
Springer
13 years 11 months ago
Algebraic Proofs over Noncommutative Formulas
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least ...
Iddo Tzameret