Memory Allocation for Constant-Bounded Programs

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[2608.14471] Memory Allocation for Constant-Bounded Programs

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arXiv:2608.14471 (cs)

[Submitted on 14 Aug 2026]

Title:Memory Allocation for Constant-Bounded Programs

Authors:Vinícius Silva, Kael Soares, Márcio Costa e Fernando Magno Quintão Pereira<br>View a PDF of the paper titled Memory Allocation for Constant-Bounded Programs, by Vin\'icius Silva and 2 other authors

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Abstract:This work studies memory allocation for constant-bounded programs, whose execution length is syntactically limited for all inputs. Examples of such programs include verified kernel extensions, cryptographic routines, and fixed-shape machine-learning models. We show that constant boundedness enables a tight, polynomial-time approximation of optimal stack usage by viewing control flow as a tree and applying a tree-scan allocation strategy augmented with memory defragmentation. Our approach guarantees memory usage bounded by the maximum live memory plus, at most, the size of the largest buffer, and is optimal when in-place swapping is permitted. We deploy the proposed allocator in two scenarios. First, in an Elixir-to-eBPF compiler, as a spiller that optimizes stack space. Second, as a static heap allocator for bounded MLIR programs using the Structured Control-Flow dialect. Results demonstrate stack reductions exceeding 90% on real eBPF workloads and show that, even under aggressive code expansion, defragmentation is rarely required and memory usage remains a small fraction of that required by naive allocation strategies.

Comments:<br>13 pages, 13 figures

Subjects:

Programming Languages (cs.PL)

MSC classes:<br>68N15

ACM classes:<br>D.3.4

Cite as:<br>arXiv:2608.14471 [cs.PL]

(or<br>arXiv:2608.14471v1 [cs.PL] for this version)

https://doi.org/10.48550/arXiv.2608.14471

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arXiv-issued DOI via DataCite (pending registration)

Submission history<br>From: Fernando Quintao Pereira [view email]<br>[v1]<br>Fri, 14 Aug 2026 16:52:25 UTC (546 KB)

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