Iterative and fixed point common belief

Journal of Philosophical Logic 28 (1):61-79 (1999)
Abstract
We define infinitary extensions to classical epistemic logic systems, and add also a common belief modality, axiomatized in a finitary, fixed-point manner. In the infinitary K system, common belief turns to be provably equivalent to the conjunction of all the finite levels of mutual belief. In contrast, in the infinitary monotonic system, common belief implies every transfinite level of mutual belief but is never implied by it. We conclude that the fixed-point notion of common belief is more powerful than the iterative notion of common belief
Keywords common knowledge  common belief  infinitary logic
Categories (categorize this paper)
DOI 10.1023/A:1004357300525
Options
 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: 20,860
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
Ronald Fagin (1994). A Quantitative Analysis of Modal Logic. Journal of Symbolic Logic 59 (1):209-252.

View all 8 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Monthly downloads

Added to index

2009-01-28

Total downloads

24 ( #160,239 of 1,907,057 )

Recent downloads (6 months)

8 ( #91,992 of 1,907,057 )

How can I increase my downloads?

My notes
Sign in to use this feature


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