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The Sound and Complete R-Calculi with Respect to Pseudo-Revision and Pre-Revision

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DOI: 10.4236/ijis.2013.32012    2,412 Downloads   4,356 Views   Citations
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The AGM postulates ([1]) are for the belief revision (revision by a single belief), and the DP postulates ([2]) are for the iterated revision (revision by a finite sequence of beliefs). Li [3] gave an R-calculus for R-configurations |Γ, where Δ is a set of literals, and Γ is a finite set of formulas. We shall give two R-calculi such that for any consistent set Γ and finite consistent set of formulas in the propositional logic, in one calculus, there is a pseudo-revision Θ of Γ by Δ such that is provable and and in another calculus, there is a pre-revision Ξ of Γ by Δ such that is provable, and for some pseudo-revision Θ; and prove that the deduction systems for both the R-calculi are sound and complete with the pseudo-revision and the pre-revision, respectively.

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Cite this paper

W. Li and Y. Sui, "The Sound and Complete R-Calculi with Respect to Pseudo-Revision and Pre-Revision," International Journal of Intelligence Science, Vol. 3 No. 2, 2013, pp. 110-117. doi: 10.4236/ijis.2013.32012.


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[6] P. Gardenfors and H. Rott, “Belief Revision,” In: D. M. Gabbay, C. J. Hogger and J. A. Robinson, Eds., Handbook of Logic in Artificial Intelligence and Logic Programming, Vol. 4, Epistemic and Temporal Reasoning, Oxford Science Pub., Oxford, 1995, pp. 35-132.

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