In this paper, we propose an extension of finite state tree automaton, called tree automaton with tree memory (TTA), and also define structure composing TTA (SC-TTA) and backward deterministic TTA (BD-TTA) as subclasses of TTA. We show that the classes of yield languages accepted by TTAs, SC-TTAs and BD-TTAs are equal to the class of recursively enumerable languages, the class of languages generated by tree-to-string finite state translation systems (TSFSTSs) and the class of languages generated by deterministic TSFSTSs, respectively. As a corollary, it is shown that the yield language accepted by an SC-TTA (resp. a BD-TTA) is linear space (resp. polynomial time) recognizable.
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Ryuichi NAKANISHI, Izumi HAYAKAWA, Hiroyuki SEKI, "Tree Automaton with Tree Memory" in IEICE TRANSACTIONS on Information,
vol. E81-D, no. 2, pp. 161-170, February 1998, doi: .
Abstract: In this paper, we propose an extension of finite state tree automaton, called tree automaton with tree memory (TTA), and also define structure composing TTA (SC-TTA) and backward deterministic TTA (BD-TTA) as subclasses of TTA. We show that the classes of yield languages accepted by TTAs, SC-TTAs and BD-TTAs are equal to the class of recursively enumerable languages, the class of languages generated by tree-to-string finite state translation systems (TSFSTSs) and the class of languages generated by deterministic TSFSTSs, respectively. As a corollary, it is shown that the yield language accepted by an SC-TTA (resp. a BD-TTA) is linear space (resp. polynomial time) recognizable.
URL: https://global.ieice.org/en_transactions/information/10.1587/e81-d_2_161/_p
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@ARTICLE{e81-d_2_161,
author={Ryuichi NAKANISHI, Izumi HAYAKAWA, Hiroyuki SEKI, },
journal={IEICE TRANSACTIONS on Information},
title={Tree Automaton with Tree Memory},
year={1998},
volume={E81-D},
number={2},
pages={161-170},
abstract={In this paper, we propose an extension of finite state tree automaton, called tree automaton with tree memory (TTA), and also define structure composing TTA (SC-TTA) and backward deterministic TTA (BD-TTA) as subclasses of TTA. We show that the classes of yield languages accepted by TTAs, SC-TTAs and BD-TTAs are equal to the class of recursively enumerable languages, the class of languages generated by tree-to-string finite state translation systems (TSFSTSs) and the class of languages generated by deterministic TSFSTSs, respectively. As a corollary, it is shown that the yield language accepted by an SC-TTA (resp. a BD-TTA) is linear space (resp. polynomial time) recognizable.},
keywords={},
doi={},
ISSN={},
month={February},}
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TY - JOUR
TI - Tree Automaton with Tree Memory
T2 - IEICE TRANSACTIONS on Information
SP - 161
EP - 170
AU - Ryuichi NAKANISHI
AU - Izumi HAYAKAWA
AU - Hiroyuki SEKI
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E81-D
IS - 2
JA - IEICE TRANSACTIONS on Information
Y1 - February 1998
AB - In this paper, we propose an extension of finite state tree automaton, called tree automaton with tree memory (TTA), and also define structure composing TTA (SC-TTA) and backward deterministic TTA (BD-TTA) as subclasses of TTA. We show that the classes of yield languages accepted by TTAs, SC-TTAs and BD-TTAs are equal to the class of recursively enumerable languages, the class of languages generated by tree-to-string finite state translation systems (TSFSTSs) and the class of languages generated by deterministic TSFSTSs, respectively. As a corollary, it is shown that the yield language accepted by an SC-TTA (resp. a BD-TTA) is linear space (resp. polynomial time) recognizable.
ER -