A Lambda Calculus for Gödel–Dummett Logic Capturing Waitfreedom

  • Yoichi Hirai
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7294)


We propose a typed lambda calculus based on Avron’s hypersequent calculus for Gödel–Dummett logic. This calculus turns out to model waitfree computation. Besides strong normalization and non-abortfullness, we give soundness and completeness of the calculus against the typed version of waitfree protocols. The calculus is not only proof theoretically interesting, but also valuable as a basis for distributed programming languages.


Program Variable Natural Deduction Reduction Sequence Contexted Type Lambda Calculus 
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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Yoichi Hirai
    • 1
  1. 1.JSPSThe University of TokyoJapan

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