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  1. Argumentation Theory for Mathematical Argument.Joseph Corneli, Ursula Martin, Dave Murray-Rust, Gabriela Rino Nesin & Alison Pease - 2019 - Argumentation 33 (2):173-214.
    To adequately model mathematical arguments the analyst must be able to represent the mathematical objects under discussion and the relationships between them, as well as inferences drawn about these objects and relationships as the discourse unfolds. We introduce a framework with these properties, which has been used to analyse mathematical dialogues and expository texts. The framework can recover salient elements of discourse at, and within, the sentence level, as well as the way mathematical content connects to form larger argumentative structures. (...)
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  • An Epistemic and Dynamic Approach to Abductive Reasoning: Abductive Problem and Abductive Solution.Fernando R. Velázquez-Quesada, Fernando Soler-Toscano & Ángel Nepomuceno-Fernández - 2013 - Journal of Applied Logic 11 (4):505-522.