Search

• < Previous
• 1
• Next >

---

Cartesian closed 2-categories and permutation equivalence in higher-order rewriting

Tom Hirschowitz.

We propose a semantics for permutation equivalence in higher-order rewriting. This semantics takes place in cartesian closed 2-categories, and is proved sound and complete.

---

Variable binding and substitution for (nameless) dummies

André Hirschowitz ; Tom Hirschowitz ; Ambroise Lafont ; Marco Maggesi.

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&nbsp;[&hellip;]

---