Transformations Between Different Types of Unranked Bottom-Up Tree Automata

We consider the representational state complexity of unranked tree automata. The bottom-up computation of an unranked tree automaton may be either deterministic or nondeterministic, and further variants arise depending on whether the horizontal string languages defining the transitions are represent...

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Main Authors: Xiaoxue Piao, Kai Salomaa
Format: Article
Language:English
Published: Open Publishing Association 2010-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1008.1658v1
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author Xiaoxue Piao
Kai Salomaa
author_facet Xiaoxue Piao
Kai Salomaa
author_sort Xiaoxue Piao
collection DOAJ
description We consider the representational state complexity of unranked tree automata. The bottom-up computation of an unranked tree automaton may be either deterministic or nondeterministic, and further variants arise depending on whether the horizontal string languages defining the transitions are represented by a DFA or an NFA. Also, we consider for unranked tree automata the alternative syntactic definition of determinism introduced by Cristau et al. (FCT'05, Lect. Notes Comput. Sci. 3623, pp. 68-79). We establish upper and lower bounds for the state complexity of conversions between different types of unranked tree automata.
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spelling doaj.art-824533db339b41218a15ee8697b11b572022-12-22T03:19:18ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802010-08-0131Proc. DCFS 201015916810.4204/EPTCS.31.18Transformations Between Different Types of Unranked Bottom-Up Tree AutomataXiaoxue PiaoKai SalomaaWe consider the representational state complexity of unranked tree automata. The bottom-up computation of an unranked tree automaton may be either deterministic or nondeterministic, and further variants arise depending on whether the horizontal string languages defining the transitions are represented by a DFA or an NFA. Also, we consider for unranked tree automata the alternative syntactic definition of determinism introduced by Cristau et al. (FCT'05, Lect. Notes Comput. Sci. 3623, pp. 68-79). We establish upper and lower bounds for the state complexity of conversions between different types of unranked tree automata.http://arxiv.org/pdf/1008.1658v1
spellingShingle Xiaoxue Piao
Kai Salomaa
Transformations Between Different Types of Unranked Bottom-Up Tree Automata
Electronic Proceedings in Theoretical Computer Science
title Transformations Between Different Types of Unranked Bottom-Up Tree Automata
title_full Transformations Between Different Types of Unranked Bottom-Up Tree Automata
title_fullStr Transformations Between Different Types of Unranked Bottom-Up Tree Automata
title_full_unstemmed Transformations Between Different Types of Unranked Bottom-Up Tree Automata
title_short Transformations Between Different Types of Unranked Bottom-Up Tree Automata
title_sort transformations between different types of unranked bottom up tree automata
url http://arxiv.org/pdf/1008.1658v1
work_keys_str_mv AT xiaoxuepiao transformationsbetweendifferenttypesofunrankedbottomuptreeautomata
AT kaisalomaa transformationsbetweendifferenttypesofunrankedbottomuptreeautomata