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WQO is decidable for factorial languages

Atminas, Aistis and Lozin, Vadim and Moshkov, Mikhail (2017) WQO is decidable for factorial languages. Information and Computation. ISSN 0890-5401

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Identification Number: 10.1016/j.ic.2017.08.001

Abstract

A language is factorial if it is closed under taking factors, i.e. contiguous subwords. Every factorial language can be described by an antidictionary, i.e. a minimal set of forbidden factors. We show that the problem of deciding whether a factorial language given by a finite antidictionary is well-quasi-ordered under the factor containment relation can be solved in polynomial time. We also discuss possible ways to extend our solution to permutations and graphs.

Item Type: Article
Official URL: https://www.journals.elsevier.com/information-and-...
Additional Information: © 2017 Elsevier Inc.
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Sets: Departments > Mathematics
Date Deposited: 18 Aug 2017 13:11
Last Modified: 30 Aug 2017 12:45
URI: http://eprints.lse.ac.uk/id/eprint/84044

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