Asymmetric Interpretations for Bounded Theories

Andrea Cantini · Mathematical logic quarterly · 1996

Abstract We apply the method of asymmetric interpretation to the basic fragment of bounded arithmetic, endowed with a weak collection schema, and to a system of “feasible analysis”, introduced by Ferreira and based on weak König's lemma, recursive comprehension and NP‐notation induction. As a byproduct, we obtain two conservation results. Mathematics Subject Classification: 03F30, 03F35.

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