[2606.22734] Lifting E-Graphs: A Function Isn't a Constant

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Computer Science > Programming Languages

arXiv:2606.22734 (cs)

[Submitted on 22 Jun 2026]

Title:Lifting E-Graphs: A Function Isn't a Constant

Authors:Philip Zucker<br>View a PDF of the paper titled Lifting E-Graphs: A Function Isn't a Constant, by Philip Zucker

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Abstract:Variables are quite subtle and easy to get wrong. An approach is described to support rigid $\alpha$ canonical variables in an e-graph. The lifting e-graph has a baked-in notion of functional lifting combinator. It is implemented by fattening the usual integer identifiers with thinning bitvectors, lift-pulling smart constructors, and a special thinning-aware union find variation. The approach is inspired by slotted e-graphs and Co-de Bruijn syntax.

Comments:<br>Presented at EGRAPHS 2026

Subjects:

Programming Languages (cs.PL)

Cite as:<br>arXiv:2606.22734 [cs.PL]

(or<br>arXiv:2606.22734v1 [cs.PL] for this version)

https://doi.org/10.48550/arXiv.2606.22734

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arXiv-issued DOI via DataCite (pending registration)

Submission history<br>From: Philip Zucker [view email]<br>[v1]<br>Mon, 22 Jun 2026 00:26:29 UTC (247 KB)

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