David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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. The paper only contains some sketchy examples showing how the logic can be used to capture situations of dynamic interest, far more detailed applications are given in a companion to this paper (De Rijke )
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
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.
Citations of this work BETA
No citations found.
Similar books and articles
Maarten de Rijke (1998). A System of Dynamic Modal Logic. Journal of Philosophical Logic 27 (2):109-142.
Maarten Rijkdee (1998). A System of Dynamic Modal Logic. Journal of Philosophical Logic 27 (2):109-142.
Maarten De Rijke (1995). The Logic of Peirce Algebras. Journal of Logic, Language and Information 4 (3):227-250.
Marco Hollenberg (1997). An Equational Axiomatization of Dynamic Negation and Relational Composition. Journal of Logic, Language and Information 6 (4):381-401.
Jan Van Eijck & Fer-Jan De Vries (1995). Reasoning About Update Logic. Journal of Philosophical Logic 24 (1):19 - 45.
Wiebe Van Der Hoek & Maarten De Rijke (1993). Generalized Quantifiers and Modal Logic. Journal of Logic, Language and Information 2 (1):19-58.
Philip Kremer (2009). Dynamic Topological S5. Annals of Pure and Applied Logic 160 (1):96-116.
Wesley H. Holliday, Tomohiro Hoshi & Thomas F. Icard (2012). A Uniform Logic of Information Dynamics. In Thomas Bolander, Torben Braüner, Silvio Ghilardi & Lawrence Moss (eds.), Advances in Modal Logic 9. College Publications.
Maarten De Rijke (1992). The Modal Logic of Inequality. Journal of Symbolic Logic 57 (2):566 - 584.
Patrick Blackburn & Edith Spaan (1993). A Modal Perspective on the Computational Complexity of Attribute Value Grammar. Journal of Logic, Language and Information 2 (2):129-169.
Brigitte Penther (1994). A Dynamic Logic of Action. Journal of Logic, Language and Information 3 (3):169-210.
Holger Sturm (2000). Elementary Classes in Basic Modal Logic. Studia Logica 64 (2):193-213.
Sorry, there are not enough data points to plot this chart.
Added to index2011-05-29
Total downloads1 ( #440,654 of 1,101,623 )
Recent downloads (6 months)1 ( #292,059 of 1,101,623 )
How can I increase my downloads?