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Quantifier elimination in p-adic fields

Dubhashi, Devdatt P.

November 1993, 21 pages.

Status: available - back from printing

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.

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  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},