Geodesic
Tree pattern matching from regular tree expressions
Kybernetika, Tome 54 (2018) no. 2, pp. 221-242.

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In this work we deal with tree pattern matching over ranked trees, where the pattern set to be matched against is defined by a regular tree expression. We present a new method that uses a tree automaton constructed inductively from a regular tree expression. First we construct a special tree automaton for the regular tree expression of the pattern $E$, which is somehow a generalization of Thompson automaton for strings. Then we run the constructed automaton on the subject tree $t$. The pattern matching algorithm requires an $\mathcal{O}(\vert t\vert\vert E\vert)$ time complexity, where $\vert t\vert$ is the number of nodes of $t$ and $\vert E\vert$ is the size of the regular tree expression $E$. The novelty of this contribution besides the low time complexity is that the set of patterns can be infinite, since we use regular tree expressions to represent patterns.
DOI : 10.14736/kyb-2018-2-0221
Classification : 68Q45
Keywords: tree automata; Thompson Tree automata; regular tree expressions; tree pattern matching 
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Belabbaci, Ahlem; Cherroun, Hadda; Cleophas, Loek; Ziadi, Djelloul. Tree pattern matching from regular tree expressions. Kybernetika, Tome 54 (2018) no. 2, pp. 221-242. doi : 10.14736/kyb-2018-2-0221. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-2-0221/

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