Mathematical Logic Quarterly 39 (1):559-565 (1993)
Abstract |
Assuming “Schanuel's Condition” for a certain class of exponential fields, Sturm's technique for polynomials in real closed fields can be extended to more complicated exponential terms in the corresponding exponential field. Hence for this class of terms the exact number of zeros can be calculated. These results give deeper insights into the model theory of exponential fields. MSC: 03C65, 03C60, 12L12
|
Keywords | Model theory of exponential fields Exponential fields Exponential terms Estimation of roots Roots of exponential terms Schanuel's Condition Modified Sturm's theorem |
Categories | (categorize this paper) |
DOI | 10.1002/malq.19930390158 |
Options |
![]() ![]() ![]() ![]() |
Download options
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Real Closed Exponential Subfields of Pseudo-Exponential Fields.Ahuva C. Shkop - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):591-601.
A Note on the Axioms for Zilber’s Pseudo-Exponential Fields.Jonathan Kirby - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):509-520.
A Note on the Decidability of Exponential Terms.Paola D'Aquino & Giuseppina Terzo - 2007 - Mathematical Logic Quarterly 53 (3):306-310.
Henson and Rubel's Theorem for Zilber's Pseudoexponentiation.Ahuva C. Shkop - 2012 - Journal of Symbolic Logic 77 (2):423-432.
Comparison of Exponential-Logarithmic and Logarithmic-Exponential Series.Salma Kuhlmann & Marcus Tressl - 2012 - Mathematical Logic Quarterly 58 (6):434-448.
On the Structure of Nonarchimedean Exponential Fields I.Salma Kuhlmann - 1995 - Archive for Mathematical Logic 34 (3):145-182.
Relativistic Exponential Gravitation and Exponential Potential of Electric Charge.N. Ben-Amots - 2007 - Foundations of Physics 37 (4-5):773-787.
Schanuel's Conjecture and Free Exponential Rings.Angus Macintyre - 1991 - Annals of Pure and Applied Logic 51 (3):241-246.
Model Theory of Analytic Functions: Some Historical Comments.Deirdre Haskell - 2012 - Bulletin of Symbolic Logic 18 (3):368-381.
On the Theory of Exponential Fields.Bernd I. Dahn & Helmut Wolter - 1983 - Mathematical Logic Quarterly 29 (9):465-480.
The Field of LE-Series with a Nonstandard Analytic Structure.Ali Bleybel - 2011 - Notre Dame Journal of Formal Logic 52 (3):255-265.
On the “Problem of the Last Root” for Exponential Terms.Helmut Wolter - 1985 - Mathematical Logic Quarterly 31 (9‐12):163-168.
Towards the Actual Relationship Between NP and Exponential Time.Gerhard Lischke - 1999 - Mathematical Logic Quarterly 45 (1):31-49.
Analytics
Added to PP index
2013-12-01
Total views
16 ( #662,754 of 2,499,073 )
Recent downloads (6 months)
1 ( #419,059 of 2,499,073 )
2013-12-01
Total views
16 ( #662,754 of 2,499,073 )
Recent downloads (6 months)
1 ( #419,059 of 2,499,073 )
How can I increase my downloads?
Downloads