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  1. Abduction as Deductive Saturation: a Proof-Theoretic Inquiry.Mario Piazza, Gabriele Pulcini & Andrea Sabatini - 2023 - Journal of Philosophical Logic 52 (6):1575-1602.
    Abductive reasoning involves finding the missing premise of an “unsaturated” deductive inference, thereby selecting a possible _explanans_ for a conclusion based on a set of previously accepted premises. In this paper, we explore abductive reasoning from a structural proof-theory perspective. We present a hybrid sequent calculus for classical propositional logic that uses sequents and antisequents to define a procedure for identifying the set of analytic hypotheses that a rational agent would be expected to select as _explanans_ when presented with an (...)
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  • Minimal abductive solutions with explicit justification.Rodrigo Medina-Vega, Francisco Hernández-Quiroz & Fernando R. Velázquez-Quesada - 2021 - Logic Journal of the IGPL 29 (4):483-502.
    Abductive problems and their solutions are presented by means of justification logic. We introduce additional meta-constructions in order to generate and compare different solutions to the same abductive problem. Our approach has three advantages: (i) it makes structurally explicit the solution to an abductive problem (as it has a syntactic nature); (ii) it gives a precise meaning to the notion of evidence; (iii) it provides clear definitions and procedures for the comparison of solutions that can be adapted to different needs.
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