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MR1323149 03D05 (03B15 03B25 68Q60 68Q68 90D44)
Muller, David E.; Schupp, Paul E. Simulating alternating tree automata by nondeterministic automata: new results and new proofs of the theorems of Rabin, McNaughton and Safra. Theoret. Comput. Sci. 141 (1995), no. 1-2, 69–107.
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