Common knowledge: Relating anti-founded situation semantics to modal logic neighbourhood semantics [Book Review]

Two approaches for defining common knowledge coexist in the literature: the infinite iteration definition and the circular or fixed point one. In particular, an original modelization of the fixed point definition was proposed by Barwise in the context of a non-well-founded set theory and the infinite iteration approach has been technically analyzed within multi-modal epistemic logic using neighbourhood semantics by Lismont. This paper exhibits a relation between these two ways of modelling common knowledge which seem at first quite different
Keywords Common knowledge  multi-modal logic  neighbourhood semantics  non-well-founded sets  Scott models
Categories (categorize this paper)
DOI 10.1007/BF01160019
 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
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,165
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
Convention: A Philosophical Study.David Lewis - 1969 - Harvard University Press.
Knowledge and Belief.Jaakko Hintikka - 1962 - Ithaca: Cornell University Press.
The Situation in Logic.Jon Barwise - 1989 - Center for the Study of Language and Inf.
La Connaissance Commune En Logique Modale.Luc Lismont - 1993 - Mathematical Logic Quarterly 39 (1):115-130.

View all 7 references / Add more references

Citations of this work BETA
About Cut Elimination for Logics of Common Knowledge.Luca Alberucci & Gerhard Jäger - 2005 - Annals of Pure and Applied Logic 133 (1):73-99.
Iterative and Fixed Point Common Belief.Aviad Heifetz - 1999 - Journal of Philosophical Logic 28 (1):61-79.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

25 ( #204,025 of 2,171,999 )

Recent downloads (6 months)

1 ( #325,967 of 2,171,999 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums