The Life in 1-Consensus
This paper introduces the atomic Write and Read Next ($\text{WRN}_{k}$) deterministic shared memory object, that for any $k\ge3$, is stronger than read-write registers, but is unable to implement $2$-processor consensus. In particular, it refutes the conjecture claiming that every deterministic object of consensus number $1$ is computationally equivalent to read-write registers.
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