
A three-part series that explains formal verification from first principles, walks through the 2026 Orchard soundness bug, and shows how Ironwood answered it with a machine-checked mathematical proof.

Research
Introduction to proving software correct instead of only testing it.

Research
Case study of the 2026 under-constrained Orchard circuit.

Research
How Zcash answered the Orchard bug with a machine-checked proof.