Discussion Graph Semantics of First-Order Logic with Equality for Reasoning about Discussion and Argumentation

• URL: http://arxiv.org/abs/2406.12163v1
• Date: Tue, 18 Jun 2024 00:32:00 GMT
• Title: Discussion Graph Semantics of First-Order Logic with Equality for Reasoning about Discussion and Argumentation
• Authors: Ryuta Arisaka,
• Abstract summary: We formulate discussion graph semantics of first-order logic with equality for reasoning about discussion and argumentation. We achieve the generality through a top-down formulation of the semantics of first-order logic (with equality) formulas.
• Score: 0.9790236766474198
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We formulate discussion graph semantics of first-order logic with equality for reasoning about discussion and argumentation as naturally as we would reason about sentences. While there are a few existing proposals to use a formal logic for reasoning about argumentation, they are constructed bottom-up and specialised to the argumentation model by Dung. There is indeed a conspicuous lack of a formal reasoning framework for handling general discussion and argumentation models. We achieve the generality through a top-down formulation of the semantics of first-order logic (with equality) formulas, addressing the current shortage.

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