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» A Model Complete Theory of Valued D-Fields
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JSYML
2000
103views more  JSYML 2000»
13 years 9 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 8 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»
13 years 4 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 11 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 10 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