A system of dynamic modal logic

Journal of Philosophical Logic 27 (2):109-142 (1998)
In many logics dealing with information one needs to make statements not only about cognitive states, but also about transitions between them. In this paper we analyze a dynamic modal logic that has been designed with this purpose in mind. On top of an abstract information ordering on states it has instructions to move forward or backward along this ordering, to states where a certain assertion holds or fails, while it also allows combinations of such instructions by means of operations from relation algebra. In addition, the logic has devices for expressing whether in a given state a certain instruction can be carried out, and whether that state can be arrived at by carrying out a certain instruction.This paper deals mainly with technical aspects of our dynamic modal logic. It gives an exact description of the expressive power of this language; it also contains results on decidability for the language with arbitrary structures and for the special case with a restricted class of admissible structures. In addition, a complete axiomatization is given. The paper concludes with a remark about the modal algebras appropriate for our dynamic modal logic, and some questions for further work.
Keywords Philosophy
Categories (categorize this paper)
DOI 10.1023/A:1004295308014
 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: 16,667
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
Frank Veltman (1996). Defaults in Update Semantics. Journal of Philosophical Logic 25 (3):221 - 261.

View all 17 references / Add more references

Citations of this work BETA
Patrick Blackburn & Yde Venema (1995). Dynamic Squares. Journal of Philosophical Logic 24 (5):469 - 523.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

37 ( #89,182 of 1,726,249 )

Recent downloads (6 months)

25 ( #36,765 of 1,726,249 )

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.