Studia Logica 107 (6):1103-1134 (2019)

Authors
Shawn Standefer
National Taiwan University
Abstract
Two common forms of natural deduction proof systems are found in the Gentzen–Prawitz and Jaśkowski–Fitch systems. In this paper, I provide translations between proofs in these systems, pointing out the ways in which the translations highlight the structural rules implicit in the systems. These translations work for classical, intuitionistic, and minimal logic. I then provide translations for classical S4 proofs.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11225-018-9828-2
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 70,130
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Entailment: The Logic of Relevance and Necessity.[author unknown] - 1975 - Studia Logica 54 (2):261-266.
Modal Logic for Open Minds -.Johan van Benthem - 2010 - Stanford, CA, USA: Center for the Study of Language and Inf.
General-Elimination Harmony and the Meaning of the Logical Constants.Stephen Read - 2010 - Journal of Philosophical Logic 39 (5):557-576.

View all 45 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Translations From Natural Deduction to Sequent Calculus.Jan von Plato - 2003 - Mathematical Logic Quarterly 49 (5):435.
Teaching the PARC System of Natural Deduction.Daryl Close - 2015 - American Association of Philosophy Teachers Studies in Pedagogy 1:201-218.
Harmonising Natural Deduction.Hartley Slater - 2008 - Synthese 163 (2):187 - 198.
Ultimate Normal Forms for Parallelized Natural Deductions.Neil Tennant - 2002 - Logic Journal of the IGPL 10 (3):299-337.
From Axiomatic Logic to Natural Deduction.Jan von Plato - 2014 - Studia Logica 102 (6):1167-1184.
Two Natural Deduction Systems for Hybrid Logic: A Comparison. [REVIEW]Torben Braüner - 2004 - Journal of Logic, Language and Information 13 (1):1-23.

Analytics

Added to PP index
2018-09-25

Total views
44 ( #257,147 of 2,506,410 )

Recent downloads (6 months)
4 ( #170,234 of 2,506,410 )

How can I increase my downloads?

Downloads

My notes