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» Unsound Theorem Proving
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ECAI
2004
Springer
13 years 11 months ago
Lakatos-Style Automated Theorem Modification
We describe a flexible approach to automated reasoning, where non-theorems can be automatically altered to produce proved results which are related to the original. This is achieve...
Simon Colton, Alison Pease
CDC
2010
IEEE
118views Control Systems» more  CDC 2010»
13 years 2 months ago
Explicit solutions for root optimization of a polynomial family
Abstract-- Given a family of real or complex monic polynomials of fixed degree with one fixed affine constraint on their coefficients, consider the problem of minimizing the root r...
Vincent D. Blondel, Mert Gurbuzbalaban, Alexandre ...
CDC
2010
IEEE
138views Control Systems» more  CDC 2010»
13 years 2 months ago
Consensus in non-commutative spaces
Convergence analysis of consensus algorithms is revisited in the light of the Hilbert distance. The Lyapunov function used in the early analysis by Tsitsiklis is shown to be the Hi...
Rodolphe Sepulchre, Alain Sarlette, Pierre Rouchon
CORR
2011
Springer
169views Education» more  CORR 2011»
13 years 2 months ago
Linear-Time Algorithms for Graphs of Bounded Rankwidth: A Fresh Look Using Game Theory
d Abstract) Alexander Langer, Peter Rossmanith, and Somnath Sikdar RWTH Aachen University, 52074 Aachen, Germany. We present an alternative proof of a theorem by Courcelle, Makowsk...
Alexander Langer, Peter Rossmanith, Somnath Sikdar
JMLR
2010
99views more  JMLR 2010»
13 years 2 months ago
Characterization, Stability and Convergence of Hierarchical Clustering Methods
We study hierarchical clustering schemes under an axiomatic view. We show that within this framework, one can prove a theorem analogous to one of J. Kleinberg (Kleinberg, 2002), i...
Gunnar Carlsson, Facundo Mémoli