Forgetting in short and heterogeneous sequences of belief revisions

Paolo Liberatore

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arXiv · 2504.13986

Forgetting in short and heterogeneous sequences of belief revisions

Paolo Liberatore

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Abstract

Forgetting a specific belief revision episode may not erase information because the other revisions may provide or entail the same information. Whether it does was proved coNP-hard for sequences of two arbitrary lexicographic revisions or arbitrarily long lexicographic Horn revisions. A polynomial algorithm is presented for the case of two lexicographic Horn revision. Heterogeneous sequences, including revisions other than lexicographic, were proved to belong in Delta2. Their previously proved coNP-hardness is enhanced to Dp-hardness.

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Paolo Liberatore. 2025-04-18. Forgetting in short and heterogeneous sequences of belief revisions. https://arxiv.org/abs/2504.13986

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