论文标题
直觉的Euler-Venn图（扩展）
Intuitionistic Euler-Venn Diagrams (extended)
论文作者
论文摘要
我们提出了关于尤拉·韦恩图的直觉解释。与经典的Euler-Venn图相反，我们以不同的方式对待阴影和缺失区域，具有共同，脱节和直觉含义的图表表示。我们为此语言提供了无剪切的序列微积分，并证明它是合理的和完整的。此外，我们表明削减，减弱和收缩的规则是可以接受的。
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.
