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The Computer Journal Advance Access originally published online on February 27, 2007
The Computer Journal 2007 50(4):378-390; doi:10.1093/comjnl/bxl069
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© The Author 2007. Published by Oxford University Press on behalf of The British Computer Society. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

R-Calculus: An Inference System for Belief Revision

Wei Li*

State Key Laboratory of Software Development Environment, Beihang University, 100083 Beijing, P.R. China

* Corresponding author: liwei{at}nlsde.buaa.edu.cn

Received 15 June 2006; revised 8 October 2006

First-order languages have been introduced to describe beliefs formally and the concept of revision is defined for model as well as proof. A logical inference system named R-calculus is defined to derive all maximal contractions of a base of belief set for its given refutations. The R-calculus consists of the structural rules, an axiom, a cut rule and the rules for logical connectives and quantifiers. Some examples are given to demonstrate how to use the R-calculus. Furthermore, the properties reachability, soundness and completeness of the R-calculus are formally defined and proved.

Key Words: Belief • revision • necessary antecedent • R-calculus • R-refutation


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