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Weighted synchronous automata

Published online by Cambridge University Press:  25 January 2023

Leandro Gomes Open the ORCID record for Leandro Gomes [Opens in a new window] ,
Alexandre Madeira  and
Luis Soares Barbosa
Leandro Gomes*
Affiliation:
Université de Lille, CNRS, Inria, Centrale Lille, UMR 9189 CRIStAL, F-59000 Lille, France
Alexandre Madeira
Affiliation:
CIDMA, University of Aveiro, Aveiro, Portugal
Luis Soares Barbosa
Affiliation:
HASLab INESC TEC, University of Minho, INL, Braga, Portugal
*
*Corresponding author. Email: leandrogomes.moreiragomes@univ-lille.fr
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Abstract

This paper introduces a class of automata and associated languages, suitable to model a computational paradigm of fuzzy systems, in which both vagueness and simultaneity are taken as first-class citizens. This requires a weighted semantics for transitions and a precise notion of a synchronous product to enforce the simultaneous occurrence of actions. The usual relationships between automata and languages are revisited in this setting, including a specific Kleene theorem.

Keywords

Weighted automataregular languagessynchronous languages
Type
Special Issue: LSFA’19 and LSFA’20
Information
Mathematical Structures in Computer Science , Volume 32 , Special Issue 9: LSFA 2019 and 2020 , October 2022 , pp. 1234 - 1253
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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Footnotes

†

This work is financed by the FCT – Fundação para a Ciência e a Tecnologia, I.P. (Portuguese Foundation for Science and Technology) within the project IBEX, with reference PTDC/CCI-COM/4280/2021 and project UIDB/04106/2020.

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