David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 24 (1):19 - 45 (1995)
Logical frameworks for analysing the dynamics ofinformation processing abound [4, 5, 8, 10, 12, 14, 20, 22]. Some of these frameworks focus on the dynamics of the interpretation process, some on the dynamics of the process of drawing inferences, and some do both of these. Formalisms galore, so it is felt that some conceptual streamlining would pay off. This paper is part of a larger scale enterprise to pursue the obvious parallel between information processing and imperative programming. We demonstrate that logical tools from theoretical computer science are relevant for the logic of information flow. More specifically, we show that the perspective of bare logic [13, 18] can fruitfully be applied to the conceptual simplification of information flow logics. Part one of this program consisted of the analysis of 'dynamic interpretation' in this way, using the example of dynamic predicate logic ; the results were published in . The present paper constitutes the second part of the program, the analysis of 'dynamic inference'. Here we focus on Veltman’s update logic . Update logic is an example of a logical framework which takes the dynamics of drawing inferences into account by modelling information growth as discarding of possibilities. This paper shows how information logics like update logic can fruitfully be studied by linking their dynamic principles to static 'correctness descriptions'. Our theme is exemplified by providing a sound and complete HoarelPratt style deduction system for update logic. The Hoare/Pratt correctness statements use modal propositional dynamic logic as assertion language and connect update logic to the modal propositional logic S5. The connection with S5 provides a clear link between the dynamic and the static semantics of update logic. The fact that update logic is decidable was noted already in ; the connection with S5 provides an alternative proof. The S5 connection can also be used for rephrasing the validity notions of update logic and for performing consistency checks. In conclusion, it is argued that interpreting the dynamic statements of information logics as dynamic modal operators has much wider applicability. In fact, the method can be used to axiomatize quite a wide range of information logics
|Keywords||dynamic interpretation Hoare logic dynamic logic knowledge representation languages|
|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
Jeroen Groenendijk & Martin Stokhof (1991). Dynamic Predicate Logic. Linguistics and Philosophy 14 (1):39-100.
David Lewis (1979). Scorekeeping in a Language Game. Journal of Philosophical Logic 8 (1):339--359.
Citations of this work BETA
No citations found.
Similar books and articles
Jan van Eijck & Fer-Jan de Vries (1995). Reasoning About Update Logic. Journal of Philosophical Logic 24 (1):19-45.
Johan van Benthem, Jelle Gerbrandy & Barteld Kooi (2009). Dynamic Update with Probabilities. Studia Logica 93 (1):67-96.
Johan van Benthem (2003). Conditional Probability Meets Update Logic. Journal of Logic, Language and Information 12 (4):409-421.
Alexander Bochman & Dov M. Gabbay (2012). Sequential Dynamic Logic. Journal of Logic, Language and Information 21 (3):279-298.
A. Baltag & S. Smets (2008). A Dynamic-Logical Perspective on Quantum Behavior. Studia Logica 89 (2):187 - 211.
Cédric Dégremont & Nina Gierasimczuk (2011). Finite Identification From the Viewpoint of Epistemic Update. Information And Computation 209 (3):383-396.
Fenrong Liu (2009). Diversity of Agents and Their Interaction. Journal of Logic, Language and Information 18 (1):23-53.
Jaap van der Does, Willem Groeneveld & Frank Veltman (1997). An Update on “Might”. Journal of Logic, Language and Information 6 (4):361-380.
Jaap van Der Does, Willem Groeneveld & Frank Veltman (1997). An Update on ÂMightâ. Journal of Logic, Language and Information 6 (4):361-380.
Added to index2011-05-29
Total downloads3 ( #307,790 of 1,101,813 )
Recent downloads (6 months)2 ( #191,891 of 1,101,813 )
How can I increase my downloads?