Thinning/Lifting E-Graphs for Alpha Equivalence: Checkpoint I

This article discusses the concept of thinning and lifting in the context of building alpha equivalence aware e-graphs. The author explains how thinning relates to binders and contexts, and introduces functional lifting combinators to lift functions into higher dimensions. Python code examples demonstrate lifting sine and identity functions with thinning parameters, showing how functions can be parametrized by context. The article also touches on constants vs constant functions and includes references to previous blog posts on related topics. It is a technical exploration of programming concepts relevant to computer science and software development.