Nondeterministic Right One-Way Jumping Finite Automata (Extended Abstract)

Right one-way jumping finite automata are deterministic devices that process their input in a discontinuous fashion. We generalise these devices to nondeterministic machines. More precisely we study the impact on the computational power of these machines when allowing multiple initial states and/or...

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Bibliographic Details
Published inDescriptional Complexity of Formal Systems Vol. 11612; pp. 74 - 85
Main Authors Beier, Simon, Holzer, Markus
Format Book Chapter
LanguageEnglish
Published Switzerland Springer International Publishing AG 01.01.2019
Springer International Publishing
SeriesLecture Notes in Computer Science
Online AccessGet full text
ISBN3030232468
9783030232467
ISSN0302-9743
1611-3349
1611-3349
DOI10.1007/978-3-030-23247-4_5

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Summary:Right one-way jumping finite automata are deterministic devices that process their input in a discontinuous fashion. We generalise these devices to nondeterministic machines. More precisely we study the impact on the computational power of these machines when allowing multiple initial states and/or a nondeterministic transition function including spontaneous or $$\lambda $$ -transitions. We show inclusion relations and incomparability results of the induced language families. Since for right-one way jumping devices the use of spontaneous transitions is subject to different natural interpretations, we also study this subject in detail, showing that most interpretations are equivalent to each other and lead to the same language families. Finally we also study inclusion and incomparability results to classical language families and to the families of languages accepted by finite automata with translucent letters.
Bibliography:Original Abstract: Right one-way jumping finite automata are deterministic devices that process their input in a discontinuous fashion. We generalise these devices to nondeterministic machines. More precisely we study the impact on the computational power of these machines when allowing multiple initial states and/or a nondeterministic transition function including spontaneous or \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document}-transitions. We show inclusion relations and incomparability results of the induced language families. Since for right-one way jumping devices the use of spontaneous transitions is subject to different natural interpretations, we also study this subject in detail, showing that most interpretations are equivalent to each other and lead to the same language families. Finally we also study inclusion and incomparability results to classical language families and to the families of languages accepted by finite automata with translucent letters.
ISBN:3030232468
9783030232467
ISSN:0302-9743
1611-3349
1611-3349
DOI:10.1007/978-3-030-23247-4_5