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Berline C and Cherlin
Epstein Richard L Haas Richard and Kramer Richard L
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a-cardinal abelian algebraically closed assume automorphism axioms cardinality characterization classless codes a standard cofinal Comprehension Schema computations conj consistent construction contradiction Corollary countable define definition denote doubly homogeneous E-coded element elementarily equivalent elementary end extension equivalent exists finite fixed follows formula functor gate G hence hyperarithmetic implies indexed family infinite integers interval isomorphic language Lemma Let G linear orderings Math minimal pair model of arithmetic model theory morphism Moschovakis nice code notation order types order-type ordinal p-group p-model parameters prewellordering prime filter prime-generated proof of Theorem prove quantifiers r.e. degrees r.e. set recursion theory recursive functions recursive set recursively enumerable recursively saturated relations result satisfaction class satisfies saturated model SEC[E sequence stage s+1 structure subobject subset Suppose Theorem Theorem 1.1 topology topos Turing degree