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» A Revision of the Proof of the Kepler Conjecture
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DCG
2010
53views more  DCG 2010»
13 years 5 months ago
A Revision of the Proof of the Kepler Conjecture
Abstract. The Kepler conjecture asserts that no packing of congruent balls in three-dimensional Euclidean space has density greater than that of the face-centered cubic packing. Th...
Thomas C. Hales, John Harrison, Sean McLaughlin, T...
CADE
2006
Springer
14 years 5 months ago
Flyspeck I: Tame Graphs
We present a verified enumeration of tame graphs as defined in Hales' proof of the Kepler Conjecture and confirm the completeness of Hales' list of all tame graphs while ...
Tobias Nipkow, Gertrud Bauer, Paula Schultz
CJ
2006
78views more  CJ 2006»
13 years 4 months ago
A Very Mathematical Dilemma
Mathematics is facing a dilemma at its heart: the nature of mathematical proof. We have known since Church and Turing independently showed that mathematical provability was undeci...
Alan Bundy
FSTTCS
2008
Springer
13 years 6 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
MOBICOM
2006
ACM
13 years 10 months ago
Coverage and connectivity in three-dimensional networks
Although most wireless terrestrial networks are based on twodimensional (2D) design, in reality, such networks operate in threedimensions (3D). Since most often the size (i.e., th...
S. M. Nazrul Alam, Zygmunt J. Haas