Max-Planck-Institut für Informatik
max planck institut
informatik
mpii logo Minerva of the Max Planck Society
 

MPI-I-93-155

Quantifier elimination in p-adic fields

Dubhashi, Devdatt P.

MPI-I-93-155. November 1993, 21 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We present a tutorial survey of quantifier-elimination and decision procedures
in p-adic fields. The p-adic fields are studied in the (so-called)
$P_n$--formalism of Angus Macintyre, for which motivation is provided
through a rich body of analogies with real-closed fields.
Quantifier-elimination and decision procedures are described
proceeding via a Cylindrical Algebraic Decomposition of affine p-adic
space. Effective complexity analyses are also provided.
Acknowledgement:
References to related material:

To download this research report, please select the type of document that fits best your needs.Attachement Size(s):
MPI-I-93-155.pdfMPI-I-93-155.pdf10875 KBytes
Please note: If you don't have a viewer for PostScript on your platform, try to install GhostScript and GhostView
URL to this document: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1993-155
Hide details for BibTeXBibTeX
@TECHREPORT{Dubhashi93,
  AUTHOR = {Dubhashi, Devdatt P.},
  TITLE = {Quantifier elimination in p-adic fields},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-93-155},
  MONTH = {November},
  YEAR = {1993},
  ISSN = {0946-011X},
}