Structure editors operate directly on a program’s syntactic tree structure. At first glance, this allows for the exciting possibility that such an editor could enforce correctness properties: programs could be well-formed and sometimes even well-typed by construction. Unfortunately, traditional approaches to structure editing that attempt to rigidly enforce these properties face a seemingly fundamental problem, known in the literature as viscosity. Making changes to existing programs often requires temporarily breaking program structure—but disallowing such changes makes it difficult to edit programs! In this paper, we present a scheme for structure editing which always maintains a valid program structure without sacrificing the fluidity necessary to freely edit programs. Two key pieces help solve this puzzle: first, we develop a novel generalization of selection for tree-based structures that properly generalizes text-based selection and editing, allowing users to freely rearrange pieces of code by cutting and pasting one-hole contexts; second, we type these one-hole contexts with a category of type diffs and explore the metatheory of the system that arises for maintaining well-typedness systematically. We implement our approach as an editor called Pantograph , and we conduct a study in which we successfully taught students to program with Pantograph and compare their performance against a traditional text editor.

Liquid Haskell is a popular verifier for Haskell programs, leveraging the power of SMT solvers to ease users' burden of proof. However, this power does not come without a price: convincing Liquid Haskell that a program is correct often necessitates giving hints to the underlying solver, which can be a tedious and verbose process that sometimes requires intricate knowledge of Liquid Haskell's inner workings.