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Paper · arXiv

Representative Sets in Propositional Abduction

The propositional abduction problem is a well-known form of non-monotonic reasoning where we are asked to find an explanation of a given manifestation. Recently, there has been an influx of results asking more refined questions about the solution space rather than only individual solutions. For example, we might be interested in finding two solutions that are sufficiently far from each other (diverse solutions) in the solution space. In this paper we consider a related representation question where we ask if a given set of explanations S can represent any other explanation (that is, whether their symmetric difference is smaller than a given k). We first study this problem from a classical...

AuthorsJohannes Schmidt, Mohamed Maizia, Victor Lagerkvist et al.
Primary categorycs.CC
Published23 July 2026
Last updated at source23 July 2026
cs.CCcs.AIcs.DScs.LO
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