A New S4 Classical Modal Logic in Natural Deduction

Journal of Symbolic Logic 71 (3):799 - 809 (2006)
We show, first, that the normalization procedure for S4 modal logic presented by Dag Prawitz in [5] does not work. We then develop a new natural deduction system for S4 classical modal logic that is logically equivalent to that of Prawitz, and we show that every derivation in this new system can be transformed into a normal derivation
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/jsl/1154698578
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 20,866
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

Add more references

Citations of this work BETA
Sara Negri (2011). Proof Theory for Modal Logic. Philosophy Compass 6 (8):523-538.

Add more citations

Similar books and articles
John Thomas Canty (1964). A Natural Deduction System for Modal Logic. Notre Dame Journal of Formal Logic 5 (3):199-210.
John Hawthorn (1990). Natural Deduction in Normal Modal Logic. Notre Dame Journal of Formal Logic 31 (2):263-273.

Monthly downloads

Added to index


Total downloads

7 ( #428,209 of 1,907,063 )

Recent downloads (6 months)

3 ( #277,075 of 1,907,063 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.