An important aspect in the formalisation of common-sense reasoning is the construction of a model of what an agent believes the world to be like to help in her reasoning process. This model is often incomplete or inaccurate, but new information can be used to refine it. The study of techniques that achieve this in a rational way is the task of the discipline of belief revision, with which this book is concerned. There are three key elements to the book's approach. Firstly, the methodology of logic by translation. A specific instance of this is the idea of revision by translation. Revision for a foreign logic is done via its translation into a well-known logic, usually classic logic. Secondly, the technique of meta-level/object-level movement, where we bring some operation defined at the meta-level of a logic into its object level. In this book, we bring the operation of deletion to the object level. Finally, through Labelled Deductive Systems, we use the context of the revision to finetune its operation and illustrate the idea through the presentation of various algorithms. The book is suitable for researchers and postgraduates in the areas of artificial intelligence, database theory, and logic.

This is the most-up-to-date book on this topic The book is suitable for researchers and postgraduates in the areas of artificial intelligence, database theory, and logic The authors illustrate the idea through the presentation of various algorithms Includes supplementary material: sn.pub/extras

Autorentext

Dov Gabbay is the (Emeritus) Augustus de Morgan Professor of Logic at King's College London, an invited professor at the Université de Luxembourg, a professor at Bar-Ilan University, Israel, and a professor of theoretical computer Science at Ashkelon Academic College, Israel. He is Editor-in-chief of several international journals and handbooks, among them the Handbook of Philosophical Logic. His research interests include logic and computation, proof theory and goal-directed theorem proving, nonclassical logics and nonmonotonic reasoning, labeled deductive systems, fibring logics, and reactive systems. His most recent books include Conditionals and Modularity in General Logics (Springer 2011) and Logical Tools for Handling Change in Agent-Based Systems (Springer 2009). Karl Schlechta is a retired professor of computer science at Aix-Marseille University in France, and a member of the Laboratoire d'Informatique Fondamentale de Marseille. He works on nonmonotonic logics,theory revision, and related subjects, his main interest being the semantical side of these logics and in particular preferential structures and accompanying representation theorems. His books include Coherent Systems (Elsevier 2004), Logical Tools for Handling Change in Agent-Based Systems (Springer 2009), and Conditionals and Modularity in General Logics (Springer 2011).

Inhalt
Background and Overview.- Introducing Revision Theory.- Stepwise Revision Operations.- Iterating Revision.- Structured Revision: Non-linear Methods for Information Change.- Algorithmic Context Revision.- Revision by Translation.- Object-Level Deletion.- Conclusions and Discussions.