Quantifier elimination for elementary geometry and elementary affine geometry

Mathematical Logic Quarterly 58 (6):399-416 (2012)
  Copy   BIBTEX

Abstract

We introduce new first-order languages for the elementary n-dimensional geometry and elementary n-dimensional affine geometry , based on extending equation image and equation image, respectively, with new function symbols. Here, β stands for the betweenness relation and ≡ for the congruence relation. We show that the associated theories admit effective quantifier elimination

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 104,706

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Analytics

Added to PP
2013-10-31

Downloads
53 (#450,991)

6 months
5 (#868,391)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Mathematical logic.Joseph Robert Shoenfield - 1967 - Reading, Mass.,: Addison-Wesley.
A Decision Method for Elementary Algebra and Geometry.Alfred Tarski - 1952 - Journal of Symbolic Logic 17 (3):207-207.
Tarski's system of geometry.Alfred Tarski & Steven Givant - 1999 - Bulletin of Symbolic Logic 5 (2):175-214.
La Géométrie.René Descartes & Franz Hals - 1927 - Revue de Métaphysique et de Morale 34 (4):3-4.

View all 9 references / Add more references