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Randomized Proof Selection

In LayerEdge, Light Nodes do not verify every proof in the aggregated batch. Instead, each Light Node is responsible for checking a random subset of zk-proofs. This approach drastically reduces the computational burden per node while still providing high security through probabilistic guarantees.

If all Light Nodes independently verify their assigned subset, then:

  • The likelihood that a fraudulent proof goes undetected becomes exponentially small.
  • The overall system security increases with the number of participants, even if each one sees only a tiny fraction of the batch.

This randomized verification architecture is central to LayerEdge's scalability and decentralization.

Why Verifiable Random Functions?

Verifiable Random Functions (VRFs) offer powerful guarantees that make them ideal for secure subset selection in LayerEdge:

PropertyDescription
UnpredictabilityPrevents adversaries from knowing which proofs a node will verify ahead of time
VerifiabilityEnables third parties to confirm that a Light Node's subset was honestly computed
Tamper ResistanceNodes cannot cheat by selectively ignoring difficult proofs
ConsistencyEnsures that randomness selection is deterministic per node, based on public and private entropy

Design Implications

Security by Randomness

This system ensures that no single node controls what it sees, and no adversary can selectively avoid validation. If a node attempts to approve a faulty proof, another honest node assigned that same proof will likely detect and report it.

This property is essential to LayerEdge's collusion resistance and trust-minimization.

Deterministic + Auditable

Every Light Node's subset can be:

  • Independently recalculated using their public VRF key and the known Bitcoin block hash,
  • Audited after the fact for accuracy and proof coverage,
  • Verified by the network to enforce reward or slashing policies.

Element Summary

ElementDescription
Subset TypeRandomized zk-proof indices from the aggregated batch
Selection FunctionDeterministic, tamper-resistant subset generator
Security ModelExponential fraud resistance through decentralized random sampling
VerifiabilitySubsets are audit-friendly and cryptographically provable

Randomized Proof Selection in LayerEdge ensures that verification:

  • Scales with participation, not proof size,
  • Stays decentralized and trustless,
  • And enables millions of zk-proofs to be validated per epoch — all without burdening individual nodes or relying on centralized authorities.

It's the backbone of scalable zk-validation — making Bitcoin the cryptographic anchor for verifiable computation at internet scale.