| Klumpp, Dominik and Santos Ribeiro Santos, Jandson 2025. Effective AGM belief contraction: A journey beyond the finitary realm. Presented at: International Conference on Principles of Knowledge Representation and Reasoning, Melbourne, Australia, 11-17 November 2025. Proceedings of the 22nd International Conference on Principles of Knowledge Representation and Reasoning. Proceedings of the Conference on Principles of Knowledge Representation and Reasoning. International Joint Conferences on Artificial Intelligence Organization, pp. 429-439. 10.24963/kr.2025/42 |
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Abstract
Despite significant efforts towards extending the AGM paradigm of belief change beyond finitary logics, the computational aspects of AGM have remained almost untouched. We investigate the computability of AGM contraction on non-finitary logics, and show an intriguing negative result: there are infinitely many uncomputable AGM contraction functions in such logics. Drastically, we also show that the current de facto standard strategies to control computability, which rely on restricting the space of epistemic states, fail: uncomputability remains in all non-finitary cases. Motivated by this disruptive result, we propose new approaches to controlling computability beyond the finitary realm. Using Linear Temporal Logic (LTL) as a case study, we identify an infinite class of fully-rational AGM contraction functions that are computable by design. We use Büchi automata to construct such functions, and to represent and reason about LTL beliefs.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Computer Science & Informatics |
| Publisher: | International Joint Conferences on Artificial Intelligence Organization |
| ISBN: | 978-1-956792-08-9 |
| ISSN: | 2334-1033 |
| Date of First Compliant Deposit: | 8 August 2025 |
| Date of Acceptance: | 10 July 2025 |
| Last Modified: | 20 Nov 2025 12:10 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/180311 |
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