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APAL
2010
67views more  APAL 2010»
15 years 18 hour ago
Projective mad families
Using almost disjoint coding we prove the consistency of the existence of a 1 2 definable -mad family of infinite subsets of (resp. functions from to ) together with b = 2 = 2.
Sy-David Friedman, Lyubomyr Zdomskyy
APAL
2010
117views more  APAL 2010»
15 years 18 hour ago
The complexity of temporal logic over the reals
It is shown that the decision problem for the temporal logic with until and since connectives over real-numbers time is PSPACE-complete. This is the most practically useful dense ...
M. Reynolds
APAL
2010
93views more  APAL 2010»
15 years 18 hour ago
Edge distribution and density in the characteristic sequence
The characteristic sequence of hypergraphs Pn : n < associated to a formula (x; y), introduced in [5], is defined by Pn(y1, . . . yn) = (x) in (x; yi). We continue the study o...
M. E. Malliaris
APAL
2010
79views more  APAL 2010»
15 years 18 hour ago
On lovely pairs of geometric structures
We study the theory of lovely pairs of geometric structures, in particular o-minimal structures. We characterize "linear" theories in terms of properties of the correspon...
Alexander Berenstein, Evgueni Vassiliev
APAL
2010
97views more  APAL 2010»
15 years 18 hour ago
Beyond Borel-amenability: Scales and superamenable reducibilities
We analyze the degree-structure induced by large reducibilities under the Axiom of Determinacy. This generalizes the analysis of Borel reducibilities given in [1], [6] and [5] e.g...
L. Motto Ros