Journal of Logic, Language and Information

, Volume 8, Issue 4, pp 429–443

A Power Algebra for Theory Change


  • K. Britz
    • Department of Computer ScienceUniversity of South Africa

DOI: 10.1023/A:1008374520572

Cite this article as:
Britz, K. Journal of Logic, Language and Information (1999) 8: 429. doi:10.1023/A:1008374520572


Various representation results have been established for logics of belief revision, in terms of remainder sets, epistemic entrenchment, systems of spheres and so on. In this paper I present another representation for logics of belief revision, as an algebra of theories. I show that an algebra of theories, enriched with a set of rejection operations, provides a suitable algebraic framework to characterize the theory change operations of systems of belief revision. The theory change operations arise as power operations of the conjunction and disjunction connectives of the underlying logic.

belief contractionbelief revisionpower orderstheory change
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© Kluwer Academic Publishers 1999