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» Proving theorems by reuse
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JAT
2006
66views more  JAT 2006»
13 years 10 months ago
An extrapolation theorem for nonlinear approximation and its applications
We prove an extrapolation theorem for the nonlinear m-term approximation with respect to a system of functions satisfying very mild conditions. This theorem allows us to prove end...
Feng Dai
CADE
2003
Springer
14 years 10 months ago
IsaPlanner: A Prototype Proof Planner in Isabelle
IsaPlanner is a generic framework for proof planning in the interactive theorem prover Isabelle. It facilitates the encoding of reasoning techniques, which can be used to conjectur...
Lucas Dixon, Jacques D. Fleuriot
APAL
2010
70views more  APAL 2010»
13 years 10 months ago
Locally definable homotopy
In [1] it was developed o-minimal homotopy for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we also extend these res...
Elías Baro, Margarita Otero
JCT
2010
80views more  JCT 2010»
13 years 8 months ago
Shadows and intersections in vector spaces
We prove a vector space analog of a version of the Kruskal-Katona theorem due to Lov´asz. We apply this result to extend Frankl’s theorem on r-wise intersecting families to vec...
Ameera Chowdhury, Balázs Patkós
DCG
2008
74views more  DCG 2008»
13 years 10 months ago
Helly-Type Theorems for Line Transversals to Disjoint Unit Balls
We prove Helly-type theorems for line transversals to disjoint unit balls in Rd . In particular, we show that a family of n 2d disjoint unit balls in Rd has a line transversal if,...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Syl...