Hanoi, Vietnam. November 2-8, 2024.

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ISSN: 2334-1033

ISBN: 978-1-956792-05-8

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Copyright © 2024 International Joint Conferences on Artificial Intelligence Organization

- Explanation, abduction and diagnosis-General
- Inconsistency- and exception-tolerant reasoning-General
- Computational aspects of knowledge representation-General

We explore the problem of explaining observations starting from a classically inconsistent theory by adopting a paraconsistent framework. We consider two expansions of the well-known Belnap-Dunn paraconsistent four-valued logic BD: BD-circ introduces formulas of the form circ phi (‘the information about phi is reliable’), while BD-triangle augments the language with formulas triangle phi (‘there is information that phi is true’). We define and motivate the notions of abduction problems and explanations in BD-circ and BD-triangle and show that they are not reducible to one another. We analyse the complexity of standard abductive reasoning tasks (solution recognition, solution existence, and relevance / necessity of hypotheses) in both logics. Finally, we show how to reduce abduction in BD-circ and BD-triangle to abduction in classical propositional logic, thereby enabling the reuse of existing abductive reasoning procedures.