%0 Conference Proceedings %T Limited Nondeterminism of Input-Driven Pushdown Automata: Decidability and Complexity %+ Yonsei University %+ Korea Electronics Technology Institute [Seongnam-si] (KETI) %+ Queen's University [Kingston, Canada] %A Han, Yo-Sub %A Ko, Sang-Ki %A Salomaa, Kai %< avec comité de lecture %( Lecture Notes in Computer Science %B 21th International Conference on Descriptional Complexity of Formal Systems (DCFS) %C Košice, Slovakia %Y Michal Hospodár %Y Galina Jirásková %Y Stavros Konstantinidis %I Springer International Publishing %3 Descriptional Complexity of Formal Systems %V LNCS-11612 %P 158-170 %8 2019-07-17 %D 2019 %R 10.1007/978-3-030-23247-4_12 %K Nondeterminism %K Tree width %K Ambiguity %K Input-driven pushdown automata %Z Computer Science [cs]Conference papers %X We study the decidability and computational complexity for several decision problems related to limited nondeterminism of finite-state automata equipped with a pushdown stack. Ambiguity and tree width are two measures of nondeterminism considered in the literature. As a main result, we prove that the problem of deciding whether or not the tree width of a nondeterministic pushdown automaton is finite is decidable in polynomial time. We also prove that the k-tree width problem for nondeterministic input-driven pushdown automata (respectively, nondeterministic finite automata) is complete for exponential time (respectively, for polynomial space). %G English %Z TC 1 %Z WG 1.02 %2 https://inria.hal.science/hal-02387306/document %2 https://inria.hal.science/hal-02387306/file/480958_1_En_12_Chapter.pdf %L hal-02387306 %U https://inria.hal.science/hal-02387306 %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC1 %~ IFIP-WG %~ IFIP-DCFS %~ IFIP-WG1-2 %~ IFIP-LNCS-11612