By abstracting over well-known properties of De Bruijn's representation with nameless dummies, we design a new theory of syntax with variable binding and capture-avoiding substitution. We propose it as a simpler alternative to Fiore, Plotkin, and Turi's approach, with which we establish a strong formal link. We also show that our theory easily incorporates simple types and equations between terms.

翻译：通过对德布鲁因表示法中无名虚拟变量的已知性质进行抽象，我们设计了一种新的带有变量绑定和避免捕获替换的语法理论。我们提出该理论作为菲奥雷、普洛特金和图里方法的更简单替代方案，并与后者建立了紧密的形式联系。我们还表明，该理论能够轻松融入简单类型和项之间的等式。