Skip Navigation



Journal of Logic and Computation Advance Access published online on March 10, 2009
Journal of Logic and Computation, doi:10.1093/logcom/exp020
This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Kostrzycka, Z.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author, 2009. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Papers

On a Finitely Axiomatizable Kripke Incomplete Logic Containing KTB

Zofia Kostrzycka

University of Technology, Luboszycka 3, 45-036 Opole, Poland.
E-mail: z.kostrzycka{at}po.opole.pl

Received 27 November 2008.

We construct a finite extension of T2 = KTB{oplus}{square}2p->{square}3p which is Kripke incomplete.

Keywords: Modal logic; Kripke frame; Kripke completeness; general frame



References

  1. Boolos G, Sambin G. An incomplete system of modal logic. Journal of Philosophical Logic (1985) 14:351–358.[CrossRef][Web of Science]
  2. Fine K. An incomplete logic containing S4. Theoria. 40:23–29. 974.
  3. Kostrzycka Z. On non-compact logics in NEXT(KTB). Mathematical Logic Quarterly (2008) 54:582–589.
  4. Miyazaki Y. Kripke incomplete logics containing KTB. Studia Logica (2007) 85:311–326.
  5. Thomason SK. An incompleteness theorem in modal logic. Theoria (1974) 40:30–34.[Web of Science]

Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?



This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Kostrzycka, Z.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?