We prove a lower bound of Ω(log n/ log log n) for the remote memory reference (RMR) complexity of abortable test-and-set (leader election) in the cache-coherent (CC) and the distributed shared memory (DSM) model. This separates the complexities of abortable and non-abortable test-andset, as the latter has constant RMR complexity [25].Golab, Hendler, Hadzilacos and Woelfel [27] showed that compare-and-swap can be implemented from registers and TAS objects with constant RMR complexity. We observe that a small modification to that implementation is abortable, provided that the used TAS objects are abortable.
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