McAloon showed that if A is a non standard model of ID_0 then some initial segment of A is a non standard model of PA. Sommer and D'Aquino characterized,in terms of the Wainer functions, the elements that can belong to such an initial segment.The characterization used work of Ketonen and Solovay, and Paris. Here we give conditions on a model A of ID_0 guaranteeing that there is an n-elementary initial segment that is a non standard model of PA. We also charaterize the elements that can be included.
Strong initial segments of models of IΔ0
D'AQUINO, Paola;
2007
Abstract
McAloon showed that if A is a non standard model of ID_0 then some initial segment of A is a non standard model of PA. Sommer and D'Aquino characterized,in terms of the Wainer functions, the elements that can belong to such an initial segment.The characterization used work of Ketonen and Solovay, and Paris. Here we give conditions on a model A of ID_0 guaranteeing that there is an n-elementary initial segment that is a non standard model of PA. We also charaterize the elements that can be included.File in questo prodotto:
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