Curry-Howard Term Calculi for Gentzen-Style Classical Logics

  title={Curry-Howard Term Calculi for Gentzen-Style Classical Logics},
  author={Alexander J. Summers},
This thesis is concerned with the extension of the Curry-Howard Correspondence to classical logic. Although much progress has been made in this area since the seminal paper by Griffin, we believe that the question of finding canonical calculi corresponding to classical logics has not yet been resolved. We examine computational interpretations of classical logics which we keep as close as possible to Gentzen’s original systems, equipped with general notions of reduction. We present a calculus X… CONTINUE READING
9 Citations
79 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 79 references

UnderstandingX with λμ. Consistent interpretations of the implicative sequent calculus in natural deduction

  • P. Audebaud, S. van Bakel
  • 2006
Highly Influential
7 Excerpts

Natural Deduction, A Proof-Theoretical Study

  • Dag Prawitz
  • Almqvist and Wiskell, Stockholm,
  • 1965
Highly Influential
20 Excerpts

Introduction to Metamathematics

  • S. C. Kleene
  • 1952
Highly Influential
6 Excerpts

Untersuchungen über das logische schließen

  • Gerhard Gentzen
  • Mathematische Zeitschrift,
  • 1935
Highly Influential
20 Excerpts

Similar Papers

Loading similar papers…