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Published at October 29

A Methodology for Gradual Semantics for Structured Argumentation under Incomplete Information

cs.HC

cs.AI

Released Date: October 29, 2024

Authors: Antonio Rago¹, Stylianos Loukas Vasileiou², Francesca Toni¹, Tran Cao Son³, William Yeoh²

Aff.: ¹Imperial College London; ²Washington University in St. Louis; ³New Mexico State University

Arxiv: https://arxiv.org/abs/2410.22209v1

Refer to caption

Property	Gradual Semantics
Property	$\sigma_{T_{p}}$	$\sigma_{T_{m}}$	$\sigma_{\wedge_{D}}$	$\sigma_{\wedge_{Q}}$	$\sigma_{D}$	$\sigma_{Q}$
1: Provability	$\checkmark$	$\checkmark$	$\times$	$\times$	$-$	$-$
2: Rewriting	$\checkmark$	$\checkmark$	$\times$	$\times$	$-$	$-$
3: Directionality	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$
4: Attack Reinforcement	$\checkmark$	$\checkmark$	$\times$	$\times$	$-$	$-$
5: Support Reinforcement	$\checkmark$	$\checkmark$	$\times$	$\times$	$-$	$-$
6: Attack Monotonicity	$\checkmark$	$\checkmark$	$\times$	$\times$	$-$	$-$
7: Support Monotonicity	$\checkmark$	$\checkmark$	$\times$	$\times$	$-$	$-$
8: Stability	$\times$	$\times$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$
9: Neutrality	$\times$	$\times$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$
10: Attacked Premise	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$
11: Supported Premise	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$
12: Weakened Premise	$\times$	$\times$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$
13: Strengthened Premise	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$
14: Rejected Premise	$\checkmark$	$\checkmark$	$\checkmark$	$\times$	$-$	$-$
15: Accepted Premises	$\times$	$\times$	$\checkmark$	$\times$	$-$	$-$
16: Mirroring	$\times$	$\times$	$\checkmark$	$\checkmark$	$-$	$-$