Governance

Paranoid EIP-8288: heterogeneous recursion with an authenticated class bank

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Briefings

Parano1d implements heterogeneous recursion for EIP-8288 aggregation using a finite authenticated bank of verifier classes. Each class fixes a relation while sharing a public accumulator layout; witness dimensions and matrices vary per class. The mechanism supports deferred checks across classes, where replaying a parent proof updates the current class's outer relation but carries all other lanes exactly. Terminal verification checks fresh tip claims and live lanes against authenticated matrices. The construction uses binary tower fields with non-uniform IVC and per-relation accumulation, with a two-phase matrix fold and public-coin reduction bound. The paper also addresses ISA identity mapping and merge invariants for child banks, though specific merge rules remain under development.

Key points

• Parano1d implements heterogeneous recursion for EIP-8288 aggregation using a finite authenticated bank of verifier classes, where each class fixes a relation while sharing a public accumulator layout.
• The mechanism supports deferred checks across classes, where replaying a parent proof updates the current class's outer relation but carries all other lanes exactly, with terminal verification checking fresh tip claims and live lanes against authenticated matrices.

Context

This finding addresses the aggregation backend for proof systems, specifically enabling recursive state-transition proofs with heterogeneous proof sizes. The mechanism is relevant to the authenticated class bank design proposed in EIP-8288, allowing small and large recursive state-transition proofs to run on a public mainnet with different proving relations.

Limitations

The evidence is limited to the Parano1d implementation and the paper's Section 6, which covers the invariant proof and two-phase matrix fold. The paper's Section 6 proves the invariant but does not provide the public-coin reduction bound. The merge invariant for child banks remains under development, and specific merge rules are not yet defined. The construction uses binary tower fields with non-uniform IVC, and the paper does not specify the exact field type or parameters used.

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