Bulletin of Symbolic Logic 17 (2):230-251 (2011)
|Abstract||This paper surveys the recent developments in the area that grew out of attempts to solve an analog of Hilbert's Tenth Problem for the field of rational numbers and the rings of integers of number fields. It is based on a plenary talk the author gave at the annual North American meeting of ASL at the University of Notre Dame in May of 2009|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Alexandra Shlapentokh (1992). A Diophantine Definition of Rational Integers Over Some Rings of Algebraic Numbers. Notre Dame Journal of Formal Logic 33 (3):299-321.
Alexandra Shlapentokh (2003). Existential Definability with Bounds on Archimedean Valuations. Journal of Symbolic Logic 68 (3):860-878.
Harvey Friedman, The Number of Certain Integral Polynomials and Nonrecursive Sets of Integers, Part.
Alexandra Shlapentokh (1993). Diophantine Relations Between Rings of s-Integers of Fields of Algebraic Functions in One Variable Over Constant Fields of Positive Characteristic. Journal of Symbolic Logic 58 (1):158-192.
Denis Richard (1985). Answer to a Problem Raised by J. Robinson: The Arithmetic of Positive or Negative Integers is Definable From Successor and Divisibility. Journal of Symbolic Logic 50 (4):927-935.
Alexandre Borovik, Renling Jin & Mikhail G. Katz (2012). An Integer Construction of Infinitesimals: Toward a Theory of Eudoxus Hyperreals. Notre Dame Journal of Formal Logic 53 (4):557-570.
Stewart Shapiro (2000). Frege Meets Dedekind: A Neologicist Treatment of Real Analysis. Notre Dame Journal of Formal Logic 41 (4):335--364.
Vladimir Kanovei (1996). On External Scott Algebras in Nonstandard Models of Peano Arithmetic. Journal of Symbolic Logic 61 (2):586-607.
Stephen Laurence & Eric Margolis (2005). Number and Natural Language. In Peter Carruthers, Stephen Laurence & Stephen P. Stich (eds.), The Innate Mind: Structure and Content. New York: Oxford University Press New York.
Jeremy Gwiazda (2006). The Train Paradox. Philosophia 34 (4):437-438.
Patrick Cegielski, Yuri Matiyasevich & Denis Richard (1996). Definability and Decidability Issues in Extensions of the Integers with the Divisibility Predicate. Journal of Symbolic Logic 61 (2):515-540.
Added to index2011-05-20
Total downloads4 ( #188,845 of 722,831 )
Recent downloads (6 months)0
How can I increase my downloads?