Lazarus Fault Tolerance: The Hyper-Deterministic Ledger

Lazarus Fault Tolerance: The Hyper-Deterministic Ledger Breaking the Byzantine Threshold via Hardware-Anchored Non-Equivocation and Adaptive Resilience IOI FoundationVersion 1.0 — February 1, 2026 Abstract Classical Byzantine fault-tolerant (BFT) consensus requires n ≥ 3f + 1 replicas to tolerate f Byzantine faults. This bound arises from the assumption that faulty nodes can equivocate- send conflicting messages to different peers at zero marginal cost. We demonstrate that by anchoring validator identity in Trusted Execution Environments (TEEs) that enforce monotonic signing, equivocation becomes either impossible or cryptographically detectable. Under this Hardware Non-Equivocation assumption, the consensus threshold reduces to simple majority (n > 2f). We introduce Lazarus Fault Tolerance (LFT), a bimodal consensus architecture that: 1. Achieves deterministic finality with O(n) message complexity under normal operation (Engine A)2. Automatically transitions to a survival mode (Engine B) upon cryptographic detection of hardware compromise, providing (1 − negl(λ))-probability liveness under explicit scheduler and anti-eclipse assumptions3. Supports governance-gated recovery back to deterministic operation after patching LFT is the first consensus protocol to treat trusted hardware as a falsifiable hypothesis rather than an axiom, enabling graceful degradation rather than catastrophic failure when the trust anchor is compromised. Repository https://github.com/ioi-foundation/ioi Full 45-page yellowpaper with formal analysis, algorithms, and reference implementation in the IOI Kernel (Rust) attached.