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NDJFL
2010
12 years 11 months ago
Numerical Abstraction via the Frege Quantifier
l Abstraction via the Frege Quantifier G. Aldo Antonelli Abstract This paper presents a formalization of first-order aritharacterizing the natural numbers as abstracta of the equin...
Gian Aldo Antonelli
JGT
2010
152views more  JGT 2010»
12 years 12 months ago
Cycles of even lengths modulo k
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
Ajit A. Diwan
CORR
2010
Springer
65views Education» more  CORR 2010»
13 years 3 months ago
Generating Bijections between HOAS and the Natural Numbers
ly correct bijection between higher-order abstract syntax (HOAS) and the natural numbers enables one to define a "not equals" relationship between terms and also to have ...
John Tang Boyland
SIAMDM
2010
128views more  SIAMDM 2010»
13 years 3 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...
MLQ
2007
91views more  MLQ 2007»
13 years 4 months ago
Almost everywhere domination and superhighness
Let ω denote the set of natural numbers. For functions f, g : ω → ω, we say that f is dominated by g if f(n) < g(n) for all but finitely many n ∈ ω. We consider the st...
Stephen G. Simpson
COMBINATORICS
2004
76views more  COMBINATORICS 2004»
13 years 4 months ago
On Rainbow Arithmetic Progressions
Consider natural numbers {1,
Maria Axenovich, Dmitry Fon-Der-Flaass
JCT
2007
107views more  JCT 2007»
13 years 4 months ago
On a conjecture of Wilf
Abstract. Let n and k be natural numbers and let S(n, k) denote the Stirling numbers of the second kind. It is a conjecture of Wilf that the alternating sum nX j=0 (−1)j S(n, j) ...
Stefan De Wannemacker, Thomas Laffey, Robert Osbur...
RML
2006
123views Business» more  RML 2006»
13 years 5 months ago
Some Results on Ordered Structures in Toposes
Abstract. A topos version of Cantor's back and forth theorem is established and used to prove that the ordered structure of the rational numbers Q, < is homogeneous in any ...
Luís A. Sbardellini, Marcelo E. Coniglio
FUIN
2006
93views more  FUIN 2006»
13 years 5 months ago
Membrane Computing and Economics: Numerical P Systems
Abstract. With inspiration from the economic reality, where numbers are basic entities to work with, we propose a genuinely new kind of P systems, where numerical variables evolve,...
Gheorghe Paun, Radu A. Paun
APAL
2006
79views more  APAL 2006»
13 years 5 months ago
Cardinal invariants related to permutation groups
We consider the possible cardinalities of the following three cardinal invariants which are related to the permutation group on the set of natural numbers: ag := the least cardina...
Bart Kastermans, Yi Zhang 0008