Governance

GKR with a Machine-Checked Core, and a Sparse Prover Made Faster with Byte-Identical Proofs

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 07/11/2026, 15:13:26 UTC.

Briefings

A 2026 technical report details the first machine-checked soundness bound for GKR on general layered circuits using a sparse prover. The research establishes a cube gate bound for the quartic extension of the 31-bit KoalaBear field, achieving 2.41–2.71x speedup over dense references while maintaining 89x lower memory usage. Key findings include a partial refinement of the model to Rust code and a new sparse prover release 1.2 that proves 13,824 hashes with unchanged Isabelle theories.

Key points

• The first machine-checked soundness bound for GKR on general layered circuits was established using a cube gate over the quartic extension of the 31-bit KoalaBear field.
• The sparse prover release 1.2 achieves 2.41–2.71x faster proving throughput than dense references while maintaining peak process memory 89x lower than dense benchmarks.

Context

This research represents the first machine-checked soundness bound for GKR on general layered circuits, utilizing a sparse prover that proves 2.41–2.71x faster with byte-identical proofs. The work extends the protocol to sparse-Merkle updates and provides a partial refinement to Rust code, with results published in two arXiv papers.

Limitations

The machine-checked core covers only specific gate sets and polynomial degrees; the Rust model refinement remains an open last link; and the cross-field composition over the quartic extension requires additional verification beyond the initial chain bound.

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