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On the Expressive Power of Hook-Indexed State: Comprehending State in the React UI Library (Extended Version)
Toby Ueno, Ezra Cooper, Simon Fowler, Sam Lindley

On the Expressive Power of Hook-Indexed State: Comprehending State in the React UI Library (Extended Version)

Science & Mathematics Published 2026 Verification Pending

Overview & Synopsis

React is currently the most popular JavaScript library for front-end web development. It endows UI components with state via the useState construct, through a mechanism that we name hook-indexed state. However, React's implementation of hook-indexed state is both fragile and poorly understood. Programmers frequently experience unexpected behavior, and the benefits of programming in this paradigm are wholly unclear. We define $λ^\mathsf{react}_\mathsf{hook}$, a core calculus that captures the essence of hook-indexed state, and give it a type system to statically rule out unexpected behavior. We then translate $λ^\mathsf{react}_\mathsf{hook}$ into a calculus $λ^\mathsf{react}_\mathsf{ref}$ based on ML-style references, and prove that this translation preserves typability and semantics, thus showing that hook-indexed state is expressible in terms of standard references. The translation is local and admits a compositional definition, but involves significant code duplication. As well as illuminating the essence of state in React, our observations can inform the design of future reactive programming systems.

Indexed from repository: arXiv (arxiv.org)
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Document Information

Document Title On the Expressive Power of Hook-Indexed State: Comprehending State in the React UI Library (Extended Version)
Author / Organization Toby Ueno, Ezra Cooper, Simon Fowler, Sam Lindley
Subject & Discipline cs.PL
Categories Science & Mathematics
Publication Year 2026
License / Rights arXiv Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website arXiv (arxiv.org)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-118349
Original Source Link Visit Source Page on arxiv.org »