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A perfect hashing incremental scheme for unranked trees using pseudo-minimal automata

Published online by Cambridge University Press:  29 September 2009

Rafael C. Carrasco  and
Jan Daciuk
Rafael C. Carrasco
Affiliation:
Departamento de Lenguajes y Sistemas Informáticos, Universidad de Alicante, 03071 Alicante, Spain; [email protected]
Jan Daciuk
Affiliation:
Knowledge Engineering Department, Gdańsk University of Technology, Poland; [email protected]
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Abstract

We describe a technique that maps unranked trees to arbitrary hash codes using a bottom-up deterministic tree automaton (DTA). In contrast to other hashing techniques based on automata, our procedure builds a pseudo-minimal DTA for this purpose. A pseudo-minimal automaton may be larger than the minimal one accepting the same language but, in turn, it contains proper elements (states or transitions which are unique) for every input accepted by the automaton. Therefore, pseudo-minimal DTA are a suitable structure to implement stable hashing schemes, that is, schemes where the output for every key can be determined prior to the automaton construction. We provide incremental procedures to build the pseudo-minimal DTA and the mapping that associates an integer value to every transition that will be used to compute the hash codes. This incremental construction allows for the incorporation of new trees and their hash codes without the need to rebuild the whole DTA from scratch.

Keywords

Perfect hashingdeterministic tree automatapseudo-minimal automataincremental automata.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 43 , Issue 4 , October 2009 , pp. 779 - 790
Copyright
© EDP Sciences, 2009

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