BOUNDED PARIKH AUTOMATA

Author:

CADILHAC MICHAËL1,FINKEL ALAIN2,MCKENZIE PIERRE1

Affiliation:

1. Laboratoire d’informatique théorique et quantique, Département d’informatique et de recherche opérationnelle, Université de Montréal, C.P. 6128 succursale Centre-ville, Montréal (Québec) H3C 3J7, Canada

2. LSV, ENS Cachan, CNRS, 61 av. du Président Wilson, F-94230 Cachan, France

Abstract

The Parikh finite word automaton model (PA) was introduced and studied by Klaedtke and Rueß. Here, we present some expressiveness properties of a restriction of the deterministic affine PA recently introduced, and use them as a tool to show that the bounded languages recognized by PA are the same as those recognized by deterministic PA. Moreover, this class of languages is shown equal to the class of bounded languages with a semilinear iteration set.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

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3. Techniques for Showing the Decidability of the Boundedness Problem of Language Acceptors;Lecture Notes in Computer Science;2024

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