Model Theory of Analytic Functions: Some Historical Comments Journal Articles

abstract

• AbstractModel theorists have been studying analytic functions since the late 1970s. Highlights include the seminal work of Denef and van den Dries on the theory of thep-adics with restricted analytic functions, Wilkie's proof of o-minimality of the theory of the reals with the exponential function, and the formulation of Zilber's conjecture for the complex exponential. My goal in this talk is to survey these main developments and to reflect on today's open problems, in particular for theories of valued fields.

authors

• Haskell, Deirdre

status

• published 

publication date

• September 2012

has subject area

• 0101 Pure Mathematics (FoR)
• 0802 Computation Theory and Mathematics (FoR)
• General Mathematics (Science Metrix)

published in

• Bulletin of Symbolic Logic  Journal

keywords

• DEFINABLE SETS
• FIELDS
• Logic
• Mathematics
• Physical Sciences
• REAL
• Science & Technology
• Science & Technology - Other Topics

Digital Object Identifier (DOI)

• 10.2178/bsl/1344861887

start page

• 368

end page

• 381

volume

• 18

issue

• 3