1. The μ-calculus alternation-depth hierarchy is strict on binary trees;Arnold;Theor. Inform. Appl.,1999
2. Fixed point characterization of Büchi automata on infinite trees;Arnold;J. Inf. Process. Cybern. EIK,1990
3. A. Arnold, D. Niwiński, Fixed point characterization of weak monadic logic definable sets of trees. in: Tree automata and languages (Le Touquet, 1990), Vol. 10, Studies in Computational Science and Artificial Intelligence, North-Holland, Amsterdam, 1992, pp. 159–188.
4. A. Arnold, D. Niwiński, Rudiments of μ-calculus, Vol. 146, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 2001.
5. Games for synthesis of controllers with partial observation;Arnold;Theoret. Comput. Sci.,2003