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On formalization of model-theoretic proofs of Gödel’s theorems. (English) Zbl 0822.03032
Summary: Within a weak subsystem of second-order arithmetic \(\text{WKL}_ 0\), that is \(\Pi_ 2^ 0\)-conservative over PRA, we reformulate Kreisel’s proof of the Second Incompleteness Theorem and Boolos’ proof of the First Incompleteness Theorem.

MSC:
03F35 Second- and higher-order arithmetic and fragments
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