Forgetting in short and heterogeneous sequences of belief revisions

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Main Author: Liberatore, Paolo
Format: Preprint
Published: 2025
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_version_ 1866913840884613120
author Liberatore, Paolo
author_facet Liberatore, Paolo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_13986
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Forgetting in short and heterogeneous sequences of belief revisions
Liberatore, Paolo
Computational Complexity
Artificial Intelligence
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.
title Forgetting in short and heterogeneous sequences of belief revisions
topic Computational Complexity
Artificial Intelligence
url https://arxiv.org/abs/2504.13986