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  1. Normality, Non-contamination and Logical Depth in Classical Natural Deduction.Marcello D’Agostino, Dov Gabbay & Sanjay Modgil - 2020 - Studia Logica 108 (2):291-357.
    In this paper we provide a detailed proof-theoretical analysis of a natural deduction system for classical propositional logic that (i) represents classical proofs in a more natural way than standard Gentzen-style natural deduction, (ii) admits of a simple normalization procedure such that normal proofs enjoy the Weak Subformula Property, (iii) provides the means to prove a Non-contamination Property of normal proofs that is not satisfied by normal proofs in the Gentzen tradition and is useful for applications, especially in formal argumentation, (...)
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  • Classical logic, argument and dialectic.M. D'Agostino & S. Modgil - 2018 - Artificial Intelligence 262:15-51.
  • Informalizing Formal Logic.Antonis Kakas - 2019 - Informal Logic 39 (2):169-204.
    This paper presents a way in which formal logic can be understood and reformulated in terms of argumentation that can help us unify formal and informal reasoning. Classical deductive reasoning will be expressed entirely in terms of notions and concepts from argumentation so that formal logical entailment is equivalently captured via the arguments that win between those supporting concluding formulae and arguments supporting contradictory formulae. This allows us to go beyond Classical Logic and smoothly connect it with human reasoning, thus (...)
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  • Argumentation: Reasoning Universalis.Antonis Kakas - 2022 - Studia Humana 11 (3-4):6-17.
    Can argumentation form the basis for any form of reasoning, informal or formal logical reasoning? We examine this question from the particular perspective of the recent developments in logic-based Artificial Intelligence (AI). We propose that argumentation provides the wider framework encompassing uniformly all reasoning, with strict or formal logical reasoning being a special boundary case. We also attempt to link this unifying role of argumentation with Aristotle’s original investigation of methods and forrmalisms for the systematic study of human reasoning.
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