English

Forgetting in short and heterogeneous sequences of belief revisions

Computational Complexity 2025-05-19 v2 Artificial Intelligence

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.

Keywords

Cite

@article{arxiv.2504.13986,
  title  = {Forgetting in short and heterogeneous sequences of belief revisions},
  author = {Paolo Liberatore},
  journal= {arXiv preprint arXiv:2504.13986},
  year   = {2025}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2402.15445, arXiv:2305.09200