Abstract. Data structure repair corrects erroneous executions in deployed programs while they execute, eliminating costly downtime. Recent techniques show how to leverage specifications and a SAT solver to enforce specification conformance at runtime. While this powerful methodology increases the reliability of deployed programs, scalability remains a key technical challenge-satisfying a specification often results in the exploration of a huge state space. We present a novel technique, called history-aware contract-based repair for more efficient data structure repair using SAT. Our insight is two-fold: (1) the dynamic program trace of field writes and reads provides useful guidance to repair incorrect state mutations by a faulty program; and (2) we show how to execute SAT using unsatisfiable cores it generates, in an efficient iterative approach on successive problems with increasing state spaces, in order to utilize the history of previous runs as captured in the unsatisfiable core. We implement this approach in a new tool, called Cobbler, that repairs Java programs. Experimental results on two large applications and a library implementation of a linked list show that Cobbler significantly outperforms previous techniques for specification-based repair using SAT, and finds and repairs a previously undetected bug.