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» Generic cuts in models of arithmetic
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MLQ
2008
63views more  MLQ 2008»
13 years 4 months ago
Generic cuts in models of arithmetic
We present some general results concerning the topological space of cuts of a countable model of arithmetic given by a particular indicator Y . The notion of `indicator' is d...
Richard Kaye
APAL
2010
83views more  APAL 2010»
13 years 5 months ago
Truth in generic cuts
In an earlier paper (MLQ 54, 128
Richard Kaye, Tin Lok Wong
APAL
2005
67views more  APAL 2005»
13 years 4 months ago
The minimal e-degree problem in fragments of Peano arithmetic
We study the minimal enumeration degree (e-degree) problem in models of fragments of Peano arithmetic (PA) and prove the following results: In any model M of 2 induction, there is ...
Marat M. Arslanov, Chi Tat Chong, S. Barry Cooper,...
TYPES
1998
Springer
13 years 9 months ago
Proof Normalization Modulo
We define a generic notion of cut that applies to many first-order theories. We prove a generic cut elimination theorem showing that the cut elimination property holds for all theo...
Gilles Dowek, Benjamin Werner
CADE
2012
Springer
11 years 7 months ago
A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic
Abstract. This paper describes a novel decision procedure for quantifierfree linear integer arithmetic. Standard techniques usually relax the initial problem to the rational domai...
François Bobot, Sylvain Conchon, Evelyne Co...