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Intuitionistic Hypothetical Logic of Proofs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:Elsevier BVJournal:Electronic Notes in Theoretical Computer Science, volume 300, pages 89-103 (issn: 1571-0661, Copyright policy )
Authors: Steren, Gabriela; Bonelli, Eduardo Augusto;

doi: 10.1016/j.entcs.2013.12.013

handle: 11336/28208

Intuitionistic Hypothetical Logic of Proofs

Abstract

AbstractWe study a term assignment for an intuitonistic fragment of the Logic of Proofs (LP). LP is a refinement of modal logic S4 in which the assertion □A is replaced by 〚s〛A whose intended reading is “s is a proof of A”. We first introduce a natural deduction presentation based on hypothetical judgements and then its term assignment, which yields a confluent and strongly normalising typed lambda calculus λIHLP. This work is part of an ongoing effort towards reformulating LP in terms of hypothetical reasoning in order to explore its applications in programming languages.

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Keywords

Logic of Proofs, https://purl.org/becyt/ford/1.2, Curry-Howard, Programming Languages, Lambda Calculus, https://purl.org/becyt/ford/1, Theoretical Computer Science, Computer Science(all)

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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!
3
Average
Average
Average
Green
gold