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  1. Adding logic to the toolbox of molecular biology.Giovanni Boniolo, Marcello D’Agostino, Mario Piazza & Gabriele Pulcini - 2015 - European Journal for Philosophy of Science 5 (3):399-417.
    The aim of this paper is to argue that logic can play an important role in the “toolbox” of molecular biology. We show how biochemical pathways, i.e., transitions from a molecular aggregate to another molecular aggregate, can be viewed as deductive processes. In particular, our logical approach to molecular biology — developed in the form of a natural deduction system — is centered on the notion of Curry-Howard isomorphism, a cornerstone in nineteenth-century proof-theory.
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  • The logic of explanation in molecular biology: historical-processual and logical-procedural aspects.Giovanni Boniolo & Raffaella Campaner - 2022 - European Journal for Philosophy of Science 12 (1):1-24.
    This work addresses biological explanations and aims to provide a philosophical account which brings together logical-procedural and historical-processual aspects when considering molecular pathways. It is argued that, having molecular features as explananda, a particular non-classical logical language – Zsyntax – can be used to formally represent, in terms of logical theorems, types of molecular processes, and to grasp how we get from one molecular interaction to another, hence explaining why a given outcome occurs. Expressing types of molecular biology processes in (...)
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  • 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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  • Molecular Biology Meets Logic: Context-Sensitiveness in Focus.Giovanni Boniolo, Marcello D’Agostino, Mario Piazza & Gabriele Pulcini - 2021 - Foundations of Science 28 (1):307-325.
    Some real life processes, including molecular ones, are context-sensitive, in the sense that their outcome depends on side conditions that are most of the times difficult, or impossible, to express fully in advance. In this paper, we survey and discuss a logical account of context-sensitiveness in molecular processes, based on a kind of non-classical logic. This account also allows us to revisit the relationship between logic and philosophy of science (and philosophy of biology, in particular).
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  • Uniqueness of axiomatic extensions of cut-free classical propositional logic.Mario Piazza & Gabriele Pulcini - 2016 - Logic Journal of the IGPL 24 (5).
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