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No-counterexample interpretation et spécification des théorèmes de l'arithmétique

Denis Bonnay
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Abstract

This paper presents two different ways of extracting the computational content of formal proofs in arithmetic. The first one corresponds to Kreisel's No-counterexample Interpretation. based on Ackermann consistency proof. We show the link with recent work by Krivine on classical realizability. Finally, we discuss the various degrees of modularity of both approaches.

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Denis Bonnay. 2005-01-26. No-counterexample interpretation et spécification des théorèmes de l'arithmétique. https://arxiv.org/abs/math/0501476

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