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arXiv.org e-Print Archive
Preprint . 2016
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2016
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Calculi for Intuitionistic Normal Modal Logic

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2016Embargo end date: 01 Jan 2016Publisher:arXiv
Authors: Kakutani, Yoshihiko;

doi: 10.48550/arxiv.1606.03180

arXiv: http://arxiv.org/abs/1606.03180

Calculi for Intuitionistic Normal Modal Logic

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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Keywords

FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Computer Science - Programming Languages, Logic in Computer Science (cs.LO), Programming Languages (cs.PL)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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