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» A Model Complete Theory of Valued D-Fields
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JSYML
2000
103views more  JSYML 2000»
13 years 5 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
JSYML
2010
107views more  JSYML 2010»
13 years 3 months ago
A proof of completeness for continuous first-order logic
Continuous first-order logic has found interest among model theorists who wish to extend the classical analysis of “algebraic” structures (such as fields, group, and graphs) ...
Arthur Paul Pedersen, Itay Ben-Yaacov
SIAMMAX
2010
164views more  SIAMMAX 2010»
12 years 12 months ago
Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
The problem of completing a low-rank matrix from a subset of its entries is often encountered in the analysis of incomplete data sets exhibiting an underlying factor model with app...
Amit Singer, Mihai Cucuringu
BIRTHDAY
2010
Springer
13 years 6 months ago
Halting and Equivalence of Program Schemes in Models of Arbitrary Theories
In this note we consider the following decision problems. Let be a fixed first-order signature. (i) Given a first-order theory or ground theory T over of Turing degree , a program...
Dexter Kozen
APAL
2008
112views more  APAL 2008»
13 years 5 months ago
A domain model characterising strong normalisation
Building on previous work by Coquand and Spiwack [8] we construct a strict domaintheoretic model for the untyped -calculus with pattern matching and term rewriting which has the p...
Ulrich Berger