The Rabin index of a regular language of infinite words is the minimum
number of accepting pairs used in any deterministic Rabin automaton r
ecognizing this language. We show that the Rabin index of a language g
iven by a Muller automaton with n states and m accepting sets is compu
table in time O(m(2)nc) where c is the cardinality of the alphabet. (C
) 1996 Academic Press, Inc.