Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661683 | Annals of Pure and Applied Logic | 2015 | 25 Pages |
Abstract
We prove a direct image theorem stating that the direct image of a Galois formula by a morphism of difference schemes is equivalent to a Galois formula modulo the theory ACFA of existentially closed difference fields. As a consequence, we obtain an effective quantifier elimination procedure and a precise algebraic-geometric description of definable sets over existentially closed difference fields in terms of twisted Galois formulae associated with finite Galois difference ring/scheme covers.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Ivan TomaÅ¡iÄ,