Extracting Constructive Content from Classical Logic via Control-like Reductions

@inproceedings{Barbanera1993ExtractingCC,
  title={Extracting Constructive Content from Classical Logic via Control-like Reductions},
  author={Franco Barbanera and Stefano Berardi},
  booktitle={TLCA},
  year={1993}
}
Recently there has been much interest in the problem of nding the computational content of classical reasoning. One of the most appealing directions for the computer scientist to tackle such a problem is the relation which has been established between classical logic and lambda calculi with control operators, like Felleisen's control operator C. In this paper we introduce a typed lambda calculus with the C operator corresponding to Peano Arithmetic, and a set of reduction rules related to the… CONTINUE READING

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