Calculi for intuitionistic normal modal logic (2007)
by
Yoshihiko Kakutani
| Venue: | In Proceedings of Programming and Programming Languages |
| Citations: | 1 - 1 self |
BibTeX
@INPROCEEDINGS{Kakutani07calculifor,
author = {Yoshihiko Kakutani},
title = {Calculi for intuitionistic normal modal logic},
booktitle = {In Proceedings of Programming and Programming Languages},
year = {2007}
}
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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. 1
