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JSYML
2000
13 years 9 months ago
2000
There is a comeager set C contained in the set of 1-generic reals and a first order structure M such that for any real number X, there is an element of C which is recursive in X if...
JSYML
2000
13 years 9 months ago
2000
We derive a Mal'cev condition for congruence meet-semidistributivity and then use it to prove two theorems. Theorem A: if a variety in a finite language is congruence meet-sem...
JSYML
2000
13 years 9 months ago
2000
The choice construct (choose x : '(x)) is useful in software speci cations. We study extensions of rst-order logic with the choice construct. We prove some results about Hilb...
JSYML
2000
13 years 9 months ago
2000
We show that to every recursive total continuous functional there is a representative of in the hierearchy of partial continuous functionals such that is S1 - S9 computable ov...
JSYML
2000
13 years 9 months ago
2000
Let K0 be the class of structures , <, A , where A is disjoint from a club, and let K1 be the class of structures , <, A , where A contains a club. We prove that if = &...