A data migration and integration system is disclosed. In various embodiments, the system includes a memory configured to store a mapping from a source schema to a target schema; and a processor coupled to the memory and configured to migrate to a target schema an instance of source data organized according to the source schema, including by using a chase engine to perform an ordered sequence of steps comprising adding a bounded layer of new elements to a current canonical chase state associated with migrating the source data to the target schema; adding coincidences associated with one or more of the target schema data integrity constraints and a mapping from the source schema to the target schema; and merging equal elements based on the coincidences; and repeat the preceding ordered sequence of steps iteratively until an end condition is met.