paper

Substitution Without Copy and Paste

arXiv:2510.12304 · doi:10.4204/EPTCS.431.5

Abstract

Defining substitution for a language with binders like the simply typed -calculus requires repetition, defining substitution and renaming separately. To verify the categorical properties of this calculus, we must repeat the same argument many times. We present a lightweight method that avoids repetition and that gives rise to a simply typed category with families (CwF) isomorphic to the initial simply typed CwF. Our paper is a literate Agda script.

In Proceedings LFMTP 2025, arXiv:2510.11199

Substitution Without Copy and Paste · wovepaper