Toward a Model Theory for Transseries

, &
Notre Dame Journal of Formal Logic 54 (3-4):279-310 (2013)
  Copy   BIBTEX

Abstract

The differential field of transseries extends the field of real Laurent series and occurs in various contexts: asymptotic expansions, analytic vector fields, and o-minimal structures, to name a few. We give an overview of the algebraic and model-theoretic aspects of this differential field and report on our efforts to understand its elementary theory

Categories

Keywords

Reprint years

DOI

10.1215/00294527-2143898

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,829

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

Notes on the stability of separably closed fields.Carol Wood - 1979 - Journal of Symbolic Logic 44 (3):412-416.
The model theory of differential fields with finitely many commuting derivations.Tracey McGrail - 2000 - Journal of Symbolic Logic 65 (2):885-913.
Differential forms in the model theory of differential fields.David Pierce - 2003 - Journal of Symbolic Logic 68 (3):923-945.
Rank and Dimension in Difference-Differential Fields.Ronald F. Bustamante Medina - 2011 - Notre Dame Journal of Formal Logic 52 (4):403-414.
Stabilité polynômiale Des corps différentiels.Natacha Portier - 1999 - Journal of Symbolic Logic 64 (2):803-816.
A model complete theory of valued d-fields.Thomas Scanlon - 2000 - Journal of Symbolic Logic 65 (4):1758-1784.
Some model theory for almost real closed fields.Françoise Delon & Rafel Farré - 1996 - Journal of Symbolic Logic 61 (4):1121-1152.
The model theory of ordered differential fields.Michael F. Singer - 1978 - Journal of Symbolic Logic 43 (1):82-91.
Defining transcendentals in function fields.Jochen Koenigsmann - 2002 - Journal of Symbolic Logic 67 (3):947-956.
Rank and Dimension in Difference-Differential Fields.Ronald F. Bustamante Medina - 2011 - Notre Dame Journal of Formal Logic 52 (4):403-414.
Noetherian varieties in definably complete structures.Tamara Servi - 2008 - Logic and Analysis 1 (3-4):187-204.
Prime model extensions for differential fields of characteristic P ≠.Carol Wood - 1974 - Journal of Symbolic Logic 39 (3):469 - 477.
0-D-Valued Fields.Nicolas Guzy - 2006 - Journal of Symbolic Logic 71 (2):639 - 660.

Analytics

Added to PP
2013-08-10

Downloads
51 (#311,860)

6 months
2 (#1,196,523)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

Add more citations

References found in this work

T-Convexity and Tame Extensions.Dries Lou Van Den & H. Lewenberg Adam - 1995 - Journal of Symbolic Logic 60 (1):74 - 102.
Topological differential fields.Nicolas Guzy & Françoise Point - 2010 - Annals of Pure and Applied Logic 161 (4):570-598.
A model complete theory of valued d-fields.Thomas Scanlon - 2000 - Journal of Symbolic Logic 65 (4):1758-1784.
Logarithmic-exponential series.Lou van den Dries, Angus Macintyre & David Marker - 2001 - Annals of Pure and Applied Logic 111 (1-2):61-113.

View all 7 references / Add more references