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A Graphical Deep Inference System for Intuitionistic Logic

Logique et Analyse. 2019. Vol. 245. P. 73–114.
Ma M., Pietarinen A.

A graphical approach to intuitionistic propositional logic is presented. The system GrIn is a deep inference system and it is formulated in terms of Peirce’s existential graphs. GrIn is shown to be sound and complete with respect to the class of all Heyting algebras. Moreover, the system GrIn is shown to be equivalent to the Gentzen sequent calculus G3ip via translations between intuitionistic graphs and intuitionistic formulas. We also discuss the intuitionistic interpretation of logical constants proposed by this graphical approach.

Language: English
DOI
Keywords: deep inference systemsintuitionistic propositional logic
Publication based on the results of:
­­ Semantics and Pragmatics of Agency (2019)
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