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» Elementary constructive theory of Henselian local rings
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MLQ
2008
63views more  MLQ 2008»
13 years 10 months ago
Elementary constructive theory of Henselian local rings
Abstract. We give an elementary theory of Henselian local rings and construct the Henselization of a local ring. All our theorems have an algorithmic content.
Maria Emilia Alonso, Henri Lombardi, Hervé ...
JSYML
2000
103views more  JSYML 2000»
13 years 10 months ago
A Model Complete Theory of Valued D-Fields
The notion of a D-ring, generalizing that of a differential or a difference ring, is introduced. Quantifier elimination and a version of the AxKochen-Ershov principle is proven for...
Thomas Scanlon
BSL
2000
153views more  BSL 2000»
13 years 10 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon
GECCO
2008
Springer
104views Optimization» more  GECCO 2008»
13 years 12 months ago
Understanding elementary landscapes
The landscape formalism unites a finite candidate solution set to a neighborhood topology and an objective function. This construct can be used to model the behavior of local sea...
Darrell Whitley, Andrew M. Sutton, Adele E. Howe
CIE
2006
Springer
14 years 2 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek