Title
A quantifier elimination for the theory of p-adic numbers
Abstract
This paper presents a detailed analysis of a quantifier elimination algorithm for the first order theory of p-adic numbers based on a p-adic analogue of the cylindrical algebraic decomposition. It is believed that this method should lead to an elementary upper bound for the theory. The present paper gives strong arguments against this conjecture and offers a basis for further speculation.
Year
DOI
Venue
1998
10.1007/s000370050011
Computational Complexity
Keywords
Field
DocType
cylindrical algebraic decomposition,quantifier elimination,upper bound,first order
Quantifier elimination,Discrete mathematics,Combinatorics,First order theory,Elimination theory,Upper and lower bounds,p-adic number,Conjecture,Cylindrical algebraic decomposition,Mathematics
Journal
Volume
Issue
ISSN
7
3
1016-3328
Citations 
PageRank 
References 
0
0.34
5
Authors
1
Name
Order
Citations
PageRank
Lavinia Egidi19110.21