Calculi for Intuitionistic Normal Modal Logic

June 10, 2016 ยท The Ethereal ยท ๐Ÿ› arXiv.org

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Authors Yoshihiko Kakutani arXiv ID 1606.03180 Category cs.LO: Logic in CS Cross-listed cs.PL Citations 12 Venue arXiv.org Last Checked 6 months ago
Abstract
This paper provides a call-by-name and a call-by-value term calculus, both of which have a Curry-Howard correspondence to the box fragment of the intuitionistic modal logic IK. The strong normalizability and the confluency of the calculi are shown. Moreover, we define a CPS transformation from the call-by-value calculus to the call-by-name calculus, and show its soundness and completeness.
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