Learning tree languages from text
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 41 (2007) no. 4, p. 351-374

We study the problem of learning regular tree languages from text. We show that the framework of function distinguishability, as introduced by the author in [Theoret. Comput. Sci. 290 (2003) 1679-1711], can be generalized from the case of string languages towards tree languages. This provides a large source of identifiable classes of regular tree languages. Each of these classes can be characterized in various ways. Moreover, we present a generic inference algorithm with polynomial update time and prove its correctness. In this way, we generalize previous works of Angluin, Sakakibara and ourselves. Moreover, we show that this way all regular tree languages can be approximately identified.

@article{ITA_2007__41_4_351_0,
     author = {Fernau, Henning},
     title = {Learning tree languages from text},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {4},
     year = {2007},
     pages = {351-374},
     doi = {10.1051/ita:2007030},
     zbl = {1144.68031},
     zbl = {pre05301986},
     mrnumber = {2377968},
     language = {en},
     url = {http://www.numdam.org/item/ITA_2007__41_4_351_0}
}
Fernau, Henning. Learning tree languages from text. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 41 (2007) no. 4, pp. 351-374. doi : 10.1051/ita:2007030. http://www.numdam.org/item/ITA_2007__41_4_351_0/

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