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arXiv · 2602.13135

Constrained Assumption-Based Argumentation Frameworks

Emanuele De Angelis·Fabio Fioravanti·Maria Chiara Meo·Alberto Pettorossi·Maurizio Proietti·Francesca Toni
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Abstract

Assumption-based Argumentation (ABA) is a well-established form of structured argumentation. ABA frameworks with an underlying atomic language are widely studied, but their applicability is limited by a representational restriction to ground (variable-free) arguments and attacks built from propositional atoms. In this paper, we lift this restriction and propose a novel notion of constrained ABA (CABA), whose components, as well as arguments built from them, may include constrained variables, ranging over possibly infinite domains. We define non-ground semantics for CABA, in terms of various notions of non-ground attacks. We show that the new semantics conservatively generalise standard ABA semantics.

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Emanuele De Angelis, Fabio Fioravanti, Maria Chiara Meo, Alberto Pettorossi, Maurizio Proietti, Francesca Toni. 2026-02-13. Constrained Assumption-Based Argumentation Frameworks. https://arxiv.org/abs/2602.13135

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