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6th International Conference on Discrete Mathematics and Applications
August 31 - September 2, 2001
South-West University
Blagoevgrad, Bulgaria

Organizers
K. Denecke, Sl. Shtrakov

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Essential Inputs and Minimal Tree Automata
by
I. Damyanov
South-West University
Coauthors: Sl. Strakov

In the paper we continue studying essential inputs of trees and automata initiated in [1].

We distinguish the behaviour of the essential inputs of trees and essential variables for discrete functions.

Strongly essential inputs of trees are introduced too. It is proved that if a tree and an automaton have at least two essential inputs then they have at least one strongly essential input.

A minimization algorithm for trees and automata is proposed. Various examples for application in Computer Science are shown. [1] Sl. Shtrakov, Tree Automata and Essential Input Variables, 2000, Contributions to General Algebra 13, Proc. of the Dresden Conf. 2000, Verlag Johannes Heyn, Klagenfurt 2000.

Date received: July 27, 2001


Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahn-21.