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Abstract:
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.
