WQO is Decidable for Factorial Languages

Aistis Atminas, Vadim Lozin, Mikhail Moshkov

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)321-333
Number of pages13
JournalInformation and Computation
StatePublished - Aug 8 2017


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