Friedman showed how to turn a classical proof of a Σ0 1 formula into an intuitionistic proof of the same formula, thus giving an effective method to extract witnesses from classi...
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
This paper is an informal (and nonexhaustive) overview over some existing notions of proof nets for classical logic, and gives some hints why they might be considered to be unsatis...
Interpretation of Proofs: Classical Propositional Calculus Martin Hyland DPMMS, Centre for Mathematical Sciences, University of Cambridge, England Representative abstract interpret...
We demonstrate program extraction by the Light Dialectica Interpretation (LDI) on a minimal logic proof of the classical existence of Fibonacci numbers. This semi-classical proof ...