Title
From Tree Automata to String Automata Minimization.
Abstract
In this paper, we propose a reduction of the minimization problem for a bottom-up deterministic tree automaton (DFTA), making the latter a minimization of a string deterministic finite automaton (DFA). To achieve this purpose, we proceed first by the transformation of the tree automaton into a particular string automaton, followed by minimizing this string automaton. In addition, we show that for our transformation, the minimization of the resulting string automaton coincides with the minimization of the original tree automaton. Finally, we discuss the complexity of our proposal for different types of tree automata, namely: standard, acyclic, incremental, and incrementally constructed tree automata.
Year
DOI
Venue
2018
https://doi.org/10.1007/s00224-017-9815-4
Theory Comput. Syst.
Keywords
Field
DocType
Tree automata,Tree languages,Finite automata,Minimization
Discrete mathematics,Two-way deterministic finite automaton,Combinatorics,Deterministic automaton,Nondeterministic finite automaton,Timed automaton,DFA minimization,Pushdown automaton,Tree automaton,Mathematics,Büchi automaton
Journal
Volume
Issue
ISSN
62
5
1432-4350
Citations 
PageRank 
References 
0
0.34
17
Authors
4
Name
Order
Citations
PageRank
Younes Guellouma101.01
Hadda Cherroun22111.14
Djelloul Ziadi319729.12
Bruce W. Watson433853.24