Corpus ID: 237532243

Dialectica Logical Principles

  title={Dialectica Logical Principles},
  author={D. Trotta and Matteo Spadetto and Valeria de Paiva},
Gödel’ s Dialectica interpretation was designed to obtain a relative consistency proof for Heyting arithmetic, to be used in conjunction with the double negation interpretation to obtain the consistency of Peano arithmetic. In recent years, proof theoretic transformations (so-called proof interpretations) that are based Gödel’s Dialectica interpretation have been used systematically to extract new content from proofs and so the interpretation has found relevant applications in several areas of… 


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