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This content will become publicly available on October 9, 2026

Title: Rebound: Efficient, Expressive, and Well-Scoped Binding
We introduce the Rebound library that supports well-scoped term representations in Haskell and automates the definition of substitution, alpha-equivalence, and other operations that work with binding structures. The key idea of our design is the use of first-class environments that map variables to expressions in some new scope. By statically tracking scopes, users of this library gain confidence that they have correctly maintained the subtle invariants that stem from using de Bruijn indices. Behind the scenes, Rebound uses environments to optimize the application of substitutions, while providing explicit access to these data structures when desired. We demonstrate that this library is expressive by using it to implement a wide range of language features with sophisticated uses of binding and several different operations that use this abstract syntax. Our examples include pi-forall, a tutorial implementation of a type checker for a dependently-typed programming language. Finally, we benchmark Rebound to understand its performance characteristics and find that it produces faster code than competing libraries.  more » « less
Award ID(s):
2327738
PAR ID:
10650831
Author(s) / Creator(s):
;
Publisher / Repository:
ACM
Date Published:
Page Range / eLocation ID:
38 to 52
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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