On End-Extensions of Models of ¬exp
نویسنده
چکیده
Every model of I∆0 is the tally part of a model of the stringlanguage theory Th-FO (a main feature of which consists in having induction on notation restricted to certain AC sets). We show how to “smoothly” introduce in Th-FO the binary length function, whereby it is possible to make exponential assumptions in models of Th-FO. These considerations entail that every model of I∆0 + ¬exp is a proper initial segment of a model of Th-FO and that a modicum of bounded collection is true in these models. Mathematics Subject Classification: 03F30, 03C62, 68Q15.
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ورودعنوان ژورنال:
- Math. Log. Q.
دوره 42 شماره
صفحات -
تاریخ انتشار 1996