We show that the monadicsec ond-order theory of an infinite tree recognized by a higher-order pushdown automaton of any level is decidable. We also show that trees recognized by pushdown automata of level n coincide with trees generated by safe higher-order grammars of level n. Our decidability result extends the result of Courcelle on algebraic(pushdo wn of level 1) trees and our own result on trees of level 2.
CITATION STYLE
Knapik, T., Niwiński, D., & Urzyczyn, P. (2002). Higher-order pushdown trees are easy. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2303, pp. 205–222). Springer Verlag. https://doi.org/10.1007/3-540-45931-6_15
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