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Random unary predicates: Almost sure theories and countable models

✍ Scribed by Joel H. Spencer; Katherine St. John


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
252 KB
Volume
13
Category
Article
ISSN
1042-9832

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✦ Synopsis


Let U be the random unary predicate and T be the almost sure first-order n, p k y1r k Ž . theory of U under the linear ordering, where k is a positive integer and n < p n < n, p n y1rŽ kq1. . For each k, we give an axiomatization for the theory T . We find a model M M of k k T of order type roughly that of Z k and show that no other models of T exist of smaller k k