Splitting Argumentation Frameworks with Collective Attacks and Supports
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910181296701440 |
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| author | Berthold, Matti Blümel, Lydia Buraglio, Giovanni Rapberger, Anna |
| author_facet | Berthold, Matti Blümel, Lydia Buraglio, Giovanni Rapberger, Anna |
| contents | This work proposes novel splitting techniques for argumentation formalisms that incorporate supports between defeasible elements. We base our studies on bipolar set-based argumentation frameworks (BSAFs) which generalize argumentation frameworks with collective attacks (SETAFs), as well as bipolar argumentation frameworks (BAFs), by incorporating both collective attacks and supports. Notably, BSAFs establish a crucial link to structured argumentation as they naturally capture general (potentially non-flat) assumption-based argumentation. The increase in expressiveness calls for diverse forms of splitting. We consider splits over collective attacks (thereby generalizing the recently proposed splitting techniques for SETAFs), splits over collective supports, as well as splits over both collective attacks and supports. We establish suitable splitting schemata and prove their correctness for the most common argumentation semantics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_28112 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Splitting Argumentation Frameworks with Collective Attacks and Supports Berthold, Matti Blümel, Lydia Buraglio, Giovanni Rapberger, Anna Artificial Intelligence Logic in Computer Science This work proposes novel splitting techniques for argumentation formalisms that incorporate supports between defeasible elements. We base our studies on bipolar set-based argumentation frameworks (BSAFs) which generalize argumentation frameworks with collective attacks (SETAFs), as well as bipolar argumentation frameworks (BAFs), by incorporating both collective attacks and supports. Notably, BSAFs establish a crucial link to structured argumentation as they naturally capture general (potentially non-flat) assumption-based argumentation. The increase in expressiveness calls for diverse forms of splitting. We consider splits over collective attacks (thereby generalizing the recently proposed splitting techniques for SETAFs), splits over collective supports, as well as splits over both collective attacks and supports. We establish suitable splitting schemata and prove their correctness for the most common argumentation semantics. |
| title | Splitting Argumentation Frameworks with Collective Attacks and Supports |
| topic | Artificial Intelligence Logic in Computer Science |
| url | https://arxiv.org/abs/2604.28112 |