Robustness in Single-Audience Value-based Abstract Argumentation: Complexity Results

Authors: Bettina Fazzinga, Sergio Flesca, Filippo Furfaro

IJCAI 2025 | Venue PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical Herein, we introduce a new notion of robustness for measuring the sensitivity of the outcome of the reasoning to the extent of changes in the audience profile. In particular, for a set of arguments S or a single argument a, we define the robustness degree of the status of S or a as the maximum number k of deletions/insertions of preferences from/into the audience profile that are tolerable, in the sense that S remains an extension (or a non-extension) or a accepted (or unaccepted) after performing at most k deletions/insertions. We introduce the decision problems related to the computation of the robustness degree and focus on thoroughly investigating their computational complexity.
Researcher Affiliation Academia Bettina Fazzinga1 , Sergio Flesca2 and Filippo Furfaro2 1Di CES University of Calabria 2DIMES University of Calabria EMAIL
Pseudocode No The paper presents theoretical concepts, definitions, lemmas, and theorems. It does not include any explicitly labeled pseudocode blocks or algorithms.
Open Source Code No The paper is theoretical, focusing on computational complexity results for robustness in argumentation frameworks. There is no mention of any code release or a link to a code repository.
Open Datasets No The paper is theoretical and does not conduct empirical studies that would require the use of open datasets. It uses examples to illustrate concepts, but these are not datasets in the context of experimental evaluation.
Dataset Splits No The paper is theoretical and does not involve experimental evaluation using datasets, therefore, there is no information regarding dataset splits.
Hardware Specification No The paper is theoretical and focuses on computational complexity results. It does not describe any experiments that would require specific hardware, thus no hardware specifications are provided.
Software Dependencies No The paper is theoretical and focuses on computational complexity results. It does not describe any experimental implementation or specific software requirements with version numbers.
Experiment Setup No The paper is theoretical, introducing a new notion of robustness and investigating its computational complexity. It does not describe any empirical experiments or their setup, thus no hyperparameters or training settings are mentioned.