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» Proofs as Polynomials
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CPC
2007
61views more  CPC 2007»
13 years 7 months ago
Maximizing Several Cuts Simultaneously
Consider two graphs G1 and G2 on the same vertex set V and suppose that Gi has mi edges. Then there is a bipartition of V into two classes A and B so that for both i = 1, 2 we hav...
Daniela Kühn, Deryk Osthus
ENTCS
2008
85views more  ENTCS 2008»
13 years 7 months ago
Comparing CSP and SAT Solvers for Polynomial Constraints in Termination Provers
Proofs of termination in term rewriting involve solving constraints between terms coming from (parts of) the rules of the term rewriting system. A common way to deal with such con...
Salvador Lucas, Rafael Navarro-Marset
CORR
2008
Springer
143views Education» more  CORR 2008»
13 years 7 months ago
Convergence Thresholds of Newton's Method for Monotone Polynomial Equations
Abstract. Monotone systems of polynomial equations (MSPEs) are systems of fixedpoint equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomia...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
LICS
2009
IEEE
14 years 2 months ago
The Inverse Taylor Expansion Problem in Linear Logic
Linear Logic is based on the analogy between algebraic linearity (i.e. commutation with sums and scalar products) and the computer science linearity (i.e. calling inputs only once...
Michele Pagani, Christine Tasson
ECCC
2006
77views more  ECCC 2006»
13 years 7 months ago
Extractors and condensers from univariate polynomials
We give new constructions of randomness extractors and lossless condensers that are optimal to within constant factors in both the seed length and the output length. For extractor...
Venkatesan Guruswami, Christopher Umans, Salil P. ...