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APAL
2008
55views more  APAL 2008»
13 years 7 months ago
What is o-minimality?
We characterize the o-minimal expansions of the ring of real numbers, in mathematically transparent terms. This should help bridge the gap between investigators in ominimality and ...
Harvey M. Friedman
APAL
2008
78views more  APAL 2008»
13 years 7 months ago
Strong normalization of classical natural deduction with disjunctions
This paper proves strong normalization of classical natural deduction with disjunction and permutative conversions, by using CPS-translation and augmentations. By them, this paper...
Koji Nakazawa, Makoto Tatsuta
APAL
2008
77views more  APAL 2008»
13 years 7 months ago
More on SOP1 and SOP2
This paper continues [Sh500] and [DzSh692]. We present a rank function for NSOP1 theories and give an example of a theory which is NSOP1 but not simple. We also investigate the con...
Saharon Shelah, Alexander Usvyatsov
APAL
2008
81views more  APAL 2008»
13 years 7 months ago
A remark on equivalent Rosser sentences
An oversight in Guaspari and Solovay's "Rosser sentences" (1979, Ann. Math. Log., 16, 81) is pointed out and emended. It concerns the premisses of their proof that ...
Christopher von Bülow
APAL
2008
112views more  APAL 2008»
13 years 7 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