A Recursive Architecture for a Continuous L2 State To achieve reliable settlement on Bitcoin, our protocol is designed with a systematic, recursive structure. We begin by establishing a fundamental building block: the state claim, which formally asserts a new L2 state. From there, we introduce the cryptographic primitives and verification methods necessary to securely settle this single state claim.This single-claim protocol then serves as the foundation for a more complex, overarching system. We extend it into a recursive protocol that can settle a continuous and unbroken chain of L2 claims. This innovative, nested structure ensures that every single state change is committed to Bitcoin's L1, forming the secure and reliable backbone for the entire Bitlayer rollup.