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FSTTCS
2008
Springer
15 years 7 months ago
Sound Lemma Generation for Proving Inductive Validity of Equations
ABSTRACT. In many automated methods for proving inductive theorems, finding a suitable generalization of a conjecture is a key for the success of proof attempts. On the other hand...
Takahito Aoto
CORR
2008
Springer
143views Education» more  CORR 2008»
15 years 6 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...
CORR
2007
Springer
96views Education» more  CORR 2007»
15 years 6 months ago
New Complexity Bounds for Certain Real Fewnomial Zero Sets
d Abstract) Frederic Bihan∗ Joel Gomez† Andrew Niles‡ J. Maurice Rojas§ January 24, 2007 Rojas dedicates this paper to his friend, Professor Tien-Yien Li. Consider real biv...
Joel Gomez, Andrew Niles, J. Maurice Rojas
JSC
2008
58views more  JSC 2008»
15 years 6 months ago
A Groebner basis approach to solve a Conjecture of Nowicki
Let k be a field of characteristic zero, n any positive integer and let n be the derivation n i=1 Xi Yi of the polynomial ring k[X1, . . . , Xn, Y1, . . . , Yn] in 2n variables o...
Joseph Khoury
SYNTHESE
2008
102views more  SYNTHESE 2008»
15 years 6 months ago
Epistemic comparative conditionals
The interest of epistemic comparative conditionals comes from the fact that they represent genuine `comparative epistemic relations' between propositions, situations, evidence...
Linton Wang