Intuitionistic Euler-Venn Diagrams (extended)

Sven Linker

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arXiv · 2002.02929

Intuitionistic Euler-Venn Diagrams (extended)

Sven Linker

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Abstract

We present an intuitionistic interpretation of Euler-Venn diagrams with respect to Heyting algebras. In contrast to classical Euler-Venn diagrams, we treat shaded and missing zones differently, to have diagrammatic representations of conjunction, disjunction and intuitionistic implication. We present a cut-free sequent calculus for this language, and prove it to be sound and complete. Furthermore, we show that the rules of cut, weakening and contraction are admissible.

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Sven Linker. 2020-02-07. Intuitionistic Euler-Venn Diagrams (extended). https://arxiv.org/abs/2002.02929

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