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Prove normalized trailing-size and capacity formulas - #3831

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@joshlf

@joshlf joshlf commented Oct 8, 2026 •

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Give the layout implementation an independent mathematical vocabulary:
unbounded rounding, a trailing-size formula and the greatest byte capacity
within a budget.

Prove the laws needed to normalize nested rounding, shift aligned bases,
advance a formula and recognize equal size sequences. Keep alignment,
divisibility and fit assumptions explicit. These lemmas concern the
mathematics; later operation proofs connect extracted Rust to it.

Authored by an AI agent acting on joshlf's behalf.


Latest Update: v31 — Compare vs v30

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🔒 Security Review ✅ Completed 2026-10-08T10:23:04.838142Z 910aeeb PR opened
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This was referenced Oct 8, 2026
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joshlf force-pushed the Gfbj3enqrcenbe76pfvmdhbt2b3h3j5fj branch from 851a974 to d5e90be Compare October 9, 2026 00:08
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joshlf force-pushed the Gwxt5czbhuvpuqeh2moqjljsiyswi6fa2 branch from 910aeeb to 409c592 Compare October 9, 2026 00:08
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##             Gfbj3enqrcenbe76pfvmdhbt2b3h3j5fj    #3831   +/-   ##
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Give the layout implementation an independent mathematical vocabulary:
unbounded rounding, a trailing-size formula and the greatest byte capacity
within a budget.

Prove the laws needed to normalize nested rounding, shift aligned bases,
advance a formula and recognize equal size sequences. Keep alignment,
divisibility and fit assumptions explicit. These lemmas concern the
mathematics; later operation proofs connect extracted Rust to it.

gherrit-pr-id: Gwxt5czbhuvpuqeh2moqjljsiyswi6fa2
Agent-authored-by: AI agent acting on joshlf's behalf

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