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CSL
2008
Springer
15 years 1 months ago
Proving Infinitude of Prime Numbers Using Binomial Coefficients
We study the problem of proving in weak theories of Bounded Arithmetic the theorem that there are arbitrarily large prime numbers. We show that the theorem can be proved by some &...
Phuong Nguyen
102
Voted
ENTCS
2002
112views more  ENTCS 2002»
14 years 11 months ago
Ambient Calculus and its Logic in the Calculus of Inductive Constructions
The Ambient Calculus has been recently proposed as a model of mobility of agents in a dynamically changing hierarchy of domains. In this paper, we describe the implementation of t...
Ivan Scagnetto, Marino Miculan
DM
2011
158views Education» more  DM 2011»
14 years 3 months ago
A survey of homogeneous structures
A relational first order structure is homogeneous if it is countable (possibly finite) and every isomorphism between finite substructures extends to an automorphism. This artic...
Dugald Macpherson
DCC
2006
IEEE
15 years 11 months ago
Evaluation codes and plane valuations
Abstract. We apply tools coming from singularity theory, as Hamburger-Noether expansions, and from valuation theory, as generating sequences, to explicitly describe order functions...
C. Galindo, M. Sanchis
AISC
2010
Springer
15 years 3 months ago
A Formal Quantifier Elimination for Algebraically Closed Fields
We prove formally that the first order theory of algebraically closed fields enjoy quantifier elimination, and hence is decidable. This proof is organized in two modular parts. We ...
Cyril Cohen, Assia Mahboubi