Indicators, recursive saturation and expandability
نویسندگان
چکیده
منابع مشابه
Lecture 7: Recursive saturation
At first sight, recursive saturation may seem an ‘unhappy marriage’ between model theory and recursion theory, as some authors put it. Nevertheless, it turns out to work wonderfully well with models of arithmetic. First and most important of all, since there are only countably many recursive sets, the number of recursive types over any infinite structure M is exactly card(M). So by an elementar...
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Recursive saturation and resplendence are two important notions in models of arithmetic. Kaye, Kossak, and Kotlarski introduced the notion of arithmetic saturation and argued that recursive saturation might not be as rigid as first assumed. In this thesis we give further examples of variations of recursive saturation, all of which are connected with expandability properties similar to resplende...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1981
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-114-2-127-139