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» A note on the Gallai-Roy-Vitaver Theorem
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LANMR
2007
13 years 9 months ago
Dialetheic truth theory: inconsistency, non-triviality, soundness, incompleteness
The best-known application of dialetheism is to semantic paradoxes such as the Liar. In particular, Graham Priest has advocated the adoption of an axiomatic truth theory in which c...
Federico Marulanda Rey
JCT
2006
77views more  JCT 2006»
13 years 7 months ago
There are uncountably many topological types of locally finite trees
Consider two locally finite rooted trees as equivalent if each of them is a topological minor of the other, with an embedding preserving the tree-order. Answering a question of va...
Lilian Matthiesen
COMBINATORICS
2004
102views more  COMBINATORICS 2004»
13 years 7 months ago
Satisfiability and Computing van der Waerden Numbers
In this paper we bring together the areas of combinatorics and propositional satisfiability. Many combinatorial theorems establish, often constructively, the existence of positive...
Michael R. Dransfield, Lengning Liu, Victor W. Mar...
ORDER
2010
89views more  ORDER 2010»
13 years 6 months ago
On Order Types of Systems of Segments in the Plane
Let r(n) denote the largest integer such that every family C of n pairwise disjoint segments in the plane in general position has r(n) members whose order type can be represented ...
Andrew Suk
IMA
2009
Springer
139views Cryptology» more  IMA 2009»
14 years 2 months ago
Security of Cyclic Double Block Length Hash Functions
Abstract. We provide the first proof of security for Abreast-DM, one of the oldest and most wellknown constructions for turning a block cipher with n-bit block length and 2n-bit k...
Ewan Fleischmann, Michael Gorski, Stefan Lucks