The Role of Cryptographic Primitives in Bitlayer’s Protocol:The Bitlayer protocol is a marvel of cryptographic engineering, and its functionality is heavily reliant on two key advanced primitives: Succinct Non-interactive Arguments (SNARGs) and Hash-based One-Time Signatures (HOTS). These are not merely buzzwords but the fundamental building blocks that enable the protocol to function securely and efficiently on Bitcoin. Without them, it would be impossible to settle complex L2 state transitions on a blockchain with such a limited script environment.Groth16 SNARGs are utilized to create compact cryptographic proofs that verify the correctness of an L2 state transition. A full execution of the state transition function is computationally intensive, but with SNARGs, the on-chain verification only needs to check the validity of the small proof, not the entire computation. This dramatically reduces the on-chain footprint and cost of settlement. It’s a game-changer, as it allows Bitlayer to process thousands of transactions off-chain and then securely prove their validity on-chain without overwhelming the Bitcoin network.The second primitive, HOTS, is a clever adaptation used to overcome Bitcoin's scripting limitations. Bitcoin’s native signature verification is tied to transactions, not arbitrary messages. By using a hash-based signature scheme, Bitlayer enables a "Rollup Operator" to commit to a state claim and for "Watchers" to verify this commitment on-chain using only native hash functions. This allows for a continuous, verifiable chain of L2 state transitions, proving that each new state is valid and directly linked to the previous one, without requiring a change to the Bitcoin consensus.