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» Generic cuts in models of arithmetic
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MLQ
2008
63views more  MLQ 2008»
14 years 10 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
59
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APAL
2010
83views more  APAL 2010»
14 years 10 months ago
Truth in generic cuts
In an earlier paper (MLQ 54, 128
Richard Kaye, Tin Lok Wong
APAL
2005
67views more  APAL 2005»
14 years 10 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
15 years 2 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
13 years 16 days 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...