On the Use of Epistemic Ordering Functions as Decision Criteria for Automated and Assisted Belief Revision in SNePS (Preliminary Report)

A. Fogel, Stuart C. Shapiro · 2011

We implement belief revision in SNePS based on a user-supplied epistemic ordering of propositions. We provide a decision procedure that performs revision completely automatically when given a well preorder. We also provide a decision procedure for revision that, when given a total preorder, simulates a well preorder by making a minimal number of queries to the user when multiple propositions within a minimally-inconsistent set are minimally-epistemically-entrenched. The first procedure uses Op|Σ|q units of space, and completes within Op|Σ| 2 ¨ s max q units of time, where Σ is the set of distinct minimally-inconsistent sets, and s max is the number of propositions in the largest minimally-inconsistent set. The second procedure uses Op|Σ| 2 ¨s 2 q space and Op|Σ| 2 ¨s 2 q time. We demonstrate how our changes generalize previous techniques employed in SNePS.

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