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We present two probabilistic leader election algorithms for anonymous uni- directional rings with FIFO channels, based on an algorithm from Itai and Rodeh (Itai and Rodeh 1981). In contrast to the Itai-Rodeh algorithm, our algorithms are finite-state. So they can be analyzed using explicit state space exploration; we used the probabilistic model checker PRISM to verify, for rings up to size four, that even- tually a unique leader is elected with probability one. Furthermore, we give a manual correctness proof for each algorithm.

Variations on Itai-Rodeh Leader Election for Anonymous Rings and their Analysis in PRISM