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Syntactic Reasoning with Conditional Probabilities in Deductive Argumentation

Hunter, Anthony; Potyka, Nico; (2023) Syntactic Reasoning with Conditional Probabilities in Deductive Argumentation. Artificial Intelligence , 321 , Article 103934. 10.1016/j.artint.2023.103934. Green open access

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Abstract

Evidence from studies, such as in science or medicine, often corresponds to conditional probability statements. Furthermore, evidence can conflict, in particular when coming from multiple studies. Whilst it is natural to make sense of such evidence using arguments, there is a lack of a systematic formalism for representing and reasoning with conditional probability statements in computational argumentation. We address this shortcoming by providing a formalization of conditional probabilistic argumentation based on probabilistic conditional logic. We provide a semantics and a collection of comprehensible inference rules that give different insights into evidence. We show how arguments constructed from proofs and attacks between them can be analyzed as arguments graphs using dialectical semantics and via the epistemic approach to probabilistic argumentation. Our approach allows for a transparent and systematic way of handling uncertainty that often arises in evidence.

Type: Article
Title: Syntactic Reasoning with Conditional Probabilities in Deductive Argumentation
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.artint.2023.103934
Publisher version: https://doi.org/10.1016/j.artint.2023.103934
Language: English
Additional information: © 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Keywords: Probabilistic argumentation, Deductive argumentation, Reasoning with evidence, Probabilistic logic
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10170273
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