Elimination of algorithmic quantifiers for ordered differential algebra

Archive for Mathematical Logic 38 (3):139-144 (1999)
  Copy   BIBTEX

Abstract

In [2], Singer proved that the theory of ordered differential fields has a model completion, i.e, the theory of closed ordered differential fields, CODF. As a result, CODF admits elimination of quantifiers. In this paper we give an algorithm to eliminate the quantifiers of CODF-formulas

Categories

Keywords

Reprint years

DOI

10.1007/s001530050119

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,752

External links

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

Through your library

My notes

Similar books and articles

The Complexity of Bounded Quantifiers in Some Ordered Abelian Groups.Philip Scowcroft - 2007 - Notre Dame Journal of Formal Logic 48 (4):521-550.
The model theory of m‐ordered differential fields.Cédric Rivière - 2006 - Mathematical Logic Quarterly 52 (4):331-339.
The model theory of differential fields with finitely many commuting derivations.Tracey McGrail - 2000 - Journal of Symbolic Logic 65 (2):885-913.
Amalgamation through quantifier elimination for varieties of commutative residuated lattices.Enrico Marchioni - 2012 - Archive for Mathematical Logic 51 (1-2):15-34.
Rings which admit elimination of quantifiers.Bruce I. Rose - 1978 - Journal of Symbolic Logic 43 (1):92-112.
Quantifier elimination for the theory of algebraically closed valued fields with analytic structure.Yalin Firat Çelikler - 2007 - Mathematical Logic Quarterly 53 (3):237-246.
Quantifier elimination for neocompact sets.H. Jerome Keisler - 1998 - Journal of Symbolic Logic 63 (4):1442-1472.
The model theory of ordered differential fields.Michael F. Singer - 1978 - Journal of Symbolic Logic 43 (1):82-91.
0-D-Valued Fields.Nicolas Guzy - 2006 - Journal of Symbolic Logic 71 (2):639 - 660.
Hierarchies of Partially Ordered Connectives and Quantifiers.Michał Krynicki - 1993 - Mathematical Logic Quarterly 39 (1):287-294.
Notes on the stability of separably closed fields.Carol Wood - 1979 - Journal of Symbolic Logic 44 (3):412-416.
The model theory of modules of a C*-algebra.Camilo Argoty - 2013 - Archive for Mathematical Logic 52 (5-6):525-541.
The model completion of the theory of modules over finitely generated commutative algebras.Moshe Kamensky - 2009 - Journal of Symbolic Logic 74 (3):734-750.
Semi-Bounded Relations in Ordered Modules.Oleg Belegradek - 2004 - Journal of Symbolic Logic 69 (2):499 - 517.
A nullstellensatz and a positivstellensatz for ordered differential fields.Quentin Brouette - 2013 - Mathematical Logic Quarterly 59 (3):247-254.

Analytics

Added to PP
2013-11-23

Downloads
15 (#943,292)

6 months
4 (#778,909)

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

No references found.

Add more references