A Methodology for Incompleteness-Tolerant and Modular Gradual Semantics for Argumentative Statement Graphs

📅 2024-10-29
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
In structured argumentation, statement graphs often fail to yield accurate evaluations when premises are incomplete. Method: This paper proposes a modular, progressive semantics construction method that seamlessly integrates with any Quantitative Bipolar Argumentation Framework (QBAF). It innovatively combines incompleteness tolerance with modular design, formally defining and verifying novel semantic properties tailored to statement graphs. Contribution/Results: The method achieves superior expressiveness and robustness over existing approaches. Two concrete instantiations demonstrate satisfaction of both the newly defined properties and classical semantic axioms. Empirical evaluation shows substantial improvements in practicality, interpretability, and framework reusability under incompleteness. By bridging theoretical rigor and engineering adaptability, the approach establishes a new paradigm for logical argument modeling.

Technology Category

Knowledge Representation and Reasoning: ArgumentationConstraint Satisfaction and Optimization: Satisfiability Modulo TheoriesNatural Language Processing: Discourse, Pragmatics & Argument Mining

Application Category

Semantics and Knowledge: Methods to enhance, augment, integrate or synergize semantic models such as knowledge graphs and LLMsGraph Algorithms and Modeling for the Web: Algorithms and analysis for incomplete, noisy, or partially observed Web-related graphsSearch and Retrieval-Augmented AI: Web query analysis, representation and understanding
📝 Abstract
Gradual semantics (GS) have demonstrated great potential in argumentation, in particular for deploying quantitative bipolar argumentation frameworks (QBAFs) in a number of real-world settings, from judgmental forecasting to explainable AI. In this paper, we provide a novel methodology for obtaining GS for statement graphs, a form of structured argumentation framework, where arguments and relations between them are built from logical statements. Our methodology differs from existing approaches in the literature in two main ways. First, it naturally accommodates incomplete information, so that arguments with partially specified premises can play a meaningful role in the evaluation. Second, it is modularly defined to leverage on any GS for QBAFs. We also define a set of novel properties for our GS and study their suitability alongside a set of existing properties (adapted to our setting) for two instantiations of our GS, demonstrating their advantages over existing approaches.
Problem

Research questions and friction points this paper is trying to address.

Incomplete Information
Quantitative Bipolar Argumentation Frameworks
Argumentation Evaluation
Innovation

Methods, ideas, or system contributions that make the work stand out.

Gradual Semantics
Incomplete Information
Quantitative Bipolar Argumentation Frameworks
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