Studia Logica 105 (3):625-647 (2017)

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Abstract
Charles Peirce’s alpha system \ is reformulated into a deep inference system where the rules are given in terms of deep graphical structures and each rule has its symmetrical rule in the system. The proof analysis of \ is given in terms of two embedding theorems: the system \ and Brünnler’s deep inference system for classical propositional logic can be embedded into each other; and the system \ and Gentzen sequent calculus \ can be embedded into each other.
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DOI 10.1007/s11225-016-9703-y
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References found in this work BETA

Structural Proof Theory. [REVIEW]Harold T. Hodes - 2006 - Philosophical Review 115 (2):255-258.
Peircean Graphs for Propositional Logic.Eric Hammer - 1996 - In Gerard Allwein & Jon Barwise (eds.), Logical Reasoning with Diagrams. Oxford University Press.

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Citations of this work BETA

On the Logical Philosophy of Assertive Graphs.Daniele Chiffi & Ahti-Veikko Pietarinen - 2020 - Journal of Logic, Language and Information 29 (4):375-397.
Peirce’s Dragon-Head Logic.Minghui Ma & Ahti-Veikko Pietarinen - 2022 - Archive for History of Exact Sciences 76 (3):261-317.

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