Bindings as bounded natural functors

Blanchette, Jasmin Christian, Gheri, Lorenzo, Popescu, Andrei and Traytel, Dmitriy (2019) Bindings as bounded natural functors. Proceedings of the ACM on Programming Languages, Volume 3 Issue POPL. In: 46th ACM SIGPLAN Symposium on Principles of Programming Languages (POPL 2019), 13-19 Jan 2019, Hotel Cascais Miragem, Cascais, Portugal. . [Conference or Workshop Item] (doi:10.1145/3290335)

PDF - Published version (with publisher's formatting)
Available under License Creative Commons Attribution.

Download (579kB) | Preview
[img] PDF - Final accepted version (with author's formatting)
Restricted to Repository staff and depositor only
Available under License Creative Commons Attribution.

Download (858kB)


We present a general framework for specifying and reasoning about syntax with bindings. Abstract binder types are modeled using a universe of functors on sets, subject to a number of operations that can be used to construct complex binding patterns and binding-aware datatypes, including non-well-founded and infinitely branching types, in a modular fashion. Despite not committing to any syntactic format, the framework is “concrete” enough to provide definitions of the fundamental operators on terms (free variables, alpha-equivalence, and capture-avoiding substitution) and reasoning and definition principles. This work is compatible with classical higher-order logic and has been formalized in the proof assistant Isabelle/HOL.

Item Type: Conference or Workshop Item (Paper)
Research Areas: A. > School of Science and Technology > Computer Science > Foundations of Computing group
Item ID: 28146
Notes on copyright: © 2019 Copyright held by the owner/author(s). This work is licensed under a Creative Commons Attribution 4.0 International License.
Useful Links:
Depositing User: Andrei Popescu
Date Deposited: 12 Nov 2019 09:22
Last Modified: 12 Dec 2019 04:40

Actions (login required)

View Item View Item

Full text downloads (NB count will be zero if no full text documents are attached to the record)

Downloads per month over the past year