# Tree automata, mu-calculus and determinacy

@article{Emerson1991TreeAM, title={Tree automata, mu-calculus and determinacy}, author={E. Allen Emerson and Charanjit S. Jutla}, journal={[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science}, year={1991}, pages={368-377} }

It is shown that the propositional mu-calculus is equivalent in expressive power to finite automata on infinite trees. Since complementation is trivial in the mu-calculus, the equivalence provides a radically simplified, alternative proof of M.O. Rabin's (1989) complementation lemma for tree automata, which is the heart of one of the deepest decidability results. It is also shown how mu-calculus can be used to establish determinacy of infinite games used in earlier proofs of complementation…

## 796 Citations

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