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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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##### References:
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