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JSYML
2000
69views more  JSYML 2000»
13 years 9 months ago
Topological Elementary Equivalence of Closed Semi-Algebraic Sets in The Real Plane
We investigate topological properties of subsets S of the real plane, expressed by first-order logic sentences in the language of the reals augmented with a binary relation symbol...
Bart Kuijpers, Jan Paredaens, Jan Van den Bussche
JSYML
2000
78views more  JSYML 2000»
13 years 9 months ago
On Quantification with A Finite Universe
We consider a finite universe U (more exactly - a family U of them), second order quantifiers QK , where for each U this means quantifying over a family of n(K)-place relations clo...
Saharon Shelah
JSYML
2000
48views more  JSYML 2000»
13 years 9 months ago
Two Consistency Results on Set Mappings
It is consistent that there is a set mapping from the four-tuples of n into the finite subsets with no free subsets of size tn for some natural number tn. For any n < it is con...
Péter Komjáth, Saharon Shelah
JSYML
2000
97views more  JSYML 2000»
13 years 9 months ago
Weakly Algebraizable Logics
The class of weakly algebrizable logics is defined as the class of logics having monotonic and injective Leibniz operator. We show that "monotonicity" cannot be discarde...
Janusz Czelakowski, Ramon Jansana
JSYML
2010
68views more  JSYML 2010»
13 years 8 months ago
An equiconsistency for universal indestructibility
We obtain an equiconsistency for a weak form of universal indestructibility for strongness. The equiconsistency is relative to a cardinal weaker in consistency strength than a Woo...
Arthur W. Apter, Grigor Sargsyan