The equivalence of four extensions of context-free grammars
Mathematical Systems Theory
Tree-Adjoining Language Parsing in o(n^6) Time
SIAM Journal on Computing
Handbook of formal languages, vol. 3
Handbook of formal languages, vol. 3
TAL recognition in O(M(n2)) time
Journal of Computer and System Sciences
Introduction To Automata Theory, Languages, And Computation
Introduction To Automata Theory, Languages, And Computation
Linearity and nondeletion on monadic context-free tree grammars
Information Processing Letters
Journal of Computer and System Sciences
Combination of Context-Free Grammars and Tree Automata for Unranked and Ranked Trees
CIAA '08 Proceedings of the 13th international conference on Implementation and Applications of Automata
Recognition of a Spanning Tree of Directed Acyclic Graphs by Tree Automata
CIAA '09 Proceedings of the 14th International Conference on Implementation and Application of Automata
Recognition of directed acyclic graphs by spanning tree automata
Theoretical Computer Science
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In this paper, a deterministic recognition algorithm for the class of tree languages accepted by (nondeterministic) linear pushdown tree automata (L-PDTAs) is proposed. L-PDTAs accept an important class of tree languages since the class of their yield languages coincides with the class of yield languages generated by tree adjoining grammars (TAGs). The proposed algorithm is obtained by combining a bottom-up parsing procedure on trees with the CKY (Cocke-Kasami-Younger) algorithm. The running time of the algorithm is O(n4), where n is the number of nodes of an input tree.