Forward and backward synchronizing algorithms.
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| Title: | Forward and backward synchronizing algorithms. |
|---|---|
| Authors: | Roman, Adam1 roman@ii.uj.edu.pl, Szykuła, Marek2 msz@cs.uni.wroc.pl |
| Source: | Expert Systems with Applications. Dec2015, Vol. 42 Issue 24, p9512-9527. 16p. |
| Subjects: | Machine theory, Synchronization, Electric circuits, Error-correcting codes, Polynomial time algorithms |
| Abstract: | Automata synchronization has many important applications, mostly in conformance testing of electrical circuits, self-correcting codes and protocol testing. Finding a shortest synchronizing word cannot be done in polynomial time, assuming P ≠ NP. In some situations, especially for very large automata, finding such a word is almost impossible. Therefore, we accept any synchronizing word that is reasonably short and can be calculated in short time. The existing algorithms are either polynomial (quick, but not optimal) or exponential (exact, but useless in case of large automata). In this paper we present a flexible algorithmic framework for synchronization. It allows the user to parameterize the algorithm to obtain a desired balance in terms of a trade-off between memory usage, runtime and optimality. We also discuss many practical issues that affect efficiency of an implementation. In particular, we design a new polynomial backward algorithm, which works significantly better than previously used heuristic algorithms. Finally, we present detailed results of experiments involving automata up to 2000 states, which compare our algorithms in various settings and the other known algorithms, and check the impact of different parameters on the results. [ABSTRACT FROM AUTHOR] |
| Copyright of Expert Systems with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 109914852 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Forward and backward synchronizing algorithms. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Roman%2C+Adam%22">Roman, Adam</searchLink><relatesTo>1</relatesTo><i> roman@ii.uj.edu.pl</i><br /><searchLink fieldCode="AR" term="%22Szykuła%2C+Marek%22">Szykuła, Marek</searchLink><relatesTo>2</relatesTo><i> msz@cs.uni.wroc.pl</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Expert+Systems+with+Applications%22">Expert Systems with Applications</searchLink>. Dec2015, Vol. 42 Issue 24, p9512-9527. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Machine+theory%22">Machine theory</searchLink><br /><searchLink fieldCode="DE" term="%22Synchronization%22">Synchronization</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+circuits%22">Electric circuits</searchLink><br /><searchLink fieldCode="DE" term="%22Error-correcting+codes%22">Error-correcting codes</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomial+time+algorithms%22">Polynomial time algorithms</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Automata synchronization has many important applications, mostly in conformance testing of electrical circuits, self-correcting codes and protocol testing. Finding a shortest synchronizing word cannot be done in polynomial time, assuming P ≠ NP. In some situations, especially for very large automata, finding such a word is almost impossible. Therefore, we accept any synchronizing word that is reasonably short and can be calculated in short time. The existing algorithms are either polynomial (quick, but not optimal) or exponential (exact, but useless in case of large automata). In this paper we present a flexible algorithmic framework for synchronization. It allows the user to parameterize the algorithm to obtain a desired balance in terms of a trade-off between memory usage, runtime and optimality. We also discuss many practical issues that affect efficiency of an implementation. In particular, we design a new polynomial backward algorithm, which works significantly better than previously used heuristic algorithms. Finally, we present detailed results of experiments involving automata up to 2000 states, which compare our algorithms in various settings and the other known algorithms, and check the impact of different parameters on the results. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Expert Systems with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.eswa.2015.07.071 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 9512 Subjects: – SubjectFull: Machine theory Type: general – SubjectFull: Synchronization Type: general – SubjectFull: Electric circuits Type: general – SubjectFull: Error-correcting codes Type: general – SubjectFull: Polynomial time algorithms Type: general Titles: – TitleFull: Forward and backward synchronizing algorithms. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Roman, Adam – PersonEntity: Name: NameFull: Szykuła, Marek IsPartOfRelationships: – BibEntity: Dates: – D: 30 M: 12 Text: Dec2015 Type: published Y: 2015 Identifiers: – Type: issn-print Value: 09574174 Numbering: – Type: volume Value: 42 – Type: issue Value: 24 Titles: – TitleFull: Expert Systems with Applications Type: main |
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