TLDR: We highlight a special subset of rollups we call “based” or “L1-sequenced”. The sequencing of such rollups—based sequencing—is maximally simple and inherits L1 liveness and decentralisation. Moreover, based rollups are particularly economically aligned with their base L1. Definition A rollup is said to be based, or L1-sequenced, when its sequencing is driven by the base L1. More concretely, a based rollup is one where the next L1 proposer may, in collaboration with L1 search...