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SIAMCOMP
2000
106views more  SIAMCOMP 2000»
15 years 4 months ago
Computationally Sound Proofs
This paper puts forward a new notion of a proof based on computational complexity and explores its implications for computation at large. Computationally sound proofs provide, in a...
Silvio Micali
ORDER
2007
79views more  ORDER 2007»
15 years 4 months ago
Computable Linearizations of Well-partial-orderings
Abstract. We analyze results on well-partial-orderings from the viewpoint of computability theory, and we answer a question posed by Diana Schmidt. We obtain the following results....
Antonio Montalbán
JCT
2010
102views more  JCT 2010»
15 years 3 months ago
Coloring axis-parallel rectangles
For every k and r, we construct a finite family of axis-parallel rectangles in the plane such that no matter how we color them with k colors, there exists a point covered by prec...
János Pach, Gábor Tardos
JGT
2010
113views more  JGT 2010»
15 years 3 months ago
Coloring plane graphs with independent crossings
We show that every plane graph with maximum face size four whose all faces of size four are vertex-disjoint is cyclically 5-colorable. This answers a question of Albertson whether...
Daniel Král', Ladislav Stacho
DMTCS
2010
123views Mathematics» more  DMTCS 2010»
15 years 2 months ago
A characterization of infinite smooth Lyndon words
In a recent paper, Brlek, Jamet and Paquin showed that some extremal infinite smooth words are also infinite Lyndon words. This result raises a natural question: are they the only...
Geneviève Paquin