State Transition Function
The state transition function is the core logic of a blockchain that defines how the system moves from one valid state to another based on a set of transactions. It takes the current state and a transaction as input and outputs the new, updated state.
In an optimistic rollup, the sequencer is responsible for applying this function correctly. If the function is applied incorrectly, the resulting state root will be invalid, triggering the fraud proof process.
The state transition function is deterministic, meaning that for any given input, it will always produce the same output. This predictability is what allows different nodes to verify the state independently.
It is the mathematical heart of any blockchain, dictating the rules of the ledger. Ensuring the correctness of this function is the primary goal of protocol developers.