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Computational Interpretations of Classical Reasoning: From the Epsilon Calculus to Stateful Programs

  • Thomas PowellEmail author
Chapter
Part of the Synthese Library book series (SYLI, volume 412)

Abstract

The problem of giving a computational meaning to classical reasoning lies at the heart of logic. This article surveys three famous solutions to this problem – the epsilon calculus, modified realizability and the Dialectica interpretation – and re-examines them from a modern perspective, with a particular emphasis on connections with algorithms and programming.

Notes

Acknowledgements

I am grateful to the anonymous referee, together with Ulrik Buchholtz, Felix Canavoi and Sam Sanders, whose corrections and suggestions improved this paper considerably.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.TU DarmstadtDarmstadtGermany

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