Shortest Axiomatizations of Implicational S4 and S

Notre Dame Journal of Formal Logic 43 (3):169-179 (2002)
Shortest possible axiomatizations for the implicational fragments of the modal logics S4 and S5 are reported. Among these axiomatizations is included a shortest single axiom for implicational S4—which to our knowledge is the first reported single axiom for that system—and several new shortest single axioms for implicational S5. A variety of automated reasoning strategies were essential to our discoveries
Keywords axiomatization   single axiom   automated reasoning   implication   modal logic
Categories (categorize this paper)
DOI 10.1305/ndjfl/1074290715
 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: 23,316
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

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Ivo Thomas (1970). Final Word on a Shortest Implicational Axiom. Notre Dame Journal of Formal Logic 11 (1):16-16.
Richard Tursman (1968). The Shortest Axioms of the Implicational Calculus. Notre Dame Journal of Formal Logic 9 (4):351-358.

Monthly downloads

Added to index


Total downloads

22 ( #212,681 of 1,924,058 )

Recent downloads (6 months)

3 ( #269,649 of 1,924,058 )

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.