Model Theory of Wkl
نویسندگان
چکیده
We develop machinery to make the Arithmetized Completeness Theorem more effective in the study of many models of I∆0 + BΣ1 + exp, including all countable ones, by passing on to the conservative extension WKL0 of I∆0+BΣ1+exp. Our detailed study of the model theory of WKL ∗ 0 also leads to the simplification and improvement of many results in the model theory of Peano arithmetic and its fragments. Here we concentrate on end extensions and self-embeddings of models.
منابع مشابه
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