MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 227

Preprint Number 227

Previous Next Preprint server


227. Gareth Jones, Tamara Servi
On the decidability of the real field with a generic power function
E-mail:

Submission date: 25 January 2010.

Abstract:

We show that the theory of the real field with a generic real power function is decidable, relative to an oracle for the rational cut of the exponent of the power function. We show the existence of generic computable real numbers, hence providing an example of a decidable o-minimal proper expansion of the real field by an analytic function.

Mathematics Subject Classification: 03C64; 03B25

Keywords and phrases: real power functions; decidability; o-minimality.

Full text: pdf.


Last updated: February 9 2010 15:48 Please send your corrections to: