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：通过抽象化De Bruijn表示中无名占位符的已知特性，我们设计了一种新的带有变量绑定及避免捕获替换的语法理论。我们提出该理论可作为Fiore、Plotkin和Turi方法的更简单替代方案，并与之建立了紧密的形式化联系。我们还表明，该理论能够轻松融入简单类型及术语间的等式关系。