WQO is decidable for factorial languages

Aistis Atminas; Vadim Lozin; Mikhail Moshkov

doi:10.1016/j.ic.2017.08.001

WQO is decidable for factorial languages

Aistis Atminas, Vadim Lozin^*, Mikhail Moshkov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	321-333
Number of pages	13
Journal	Information and Computation
Volume	256
DOIs	https://doi.org/10.1016/j.ic.2017.08.001
Publication status	Published - Oct 2017
Externally published	Yes

Keywords

Factorial language
Induced subgraph
Permutation
Polynomial-time algorithm
Well-quasi-ordering

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10.1016/j.ic.2017.08.001

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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.",

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T1 - WQO is decidable for factorial languages

AU - Atminas, Aistis

AU - Lozin, Vadim

AU - Moshkov, Mikhail

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N2 - 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.

AB - 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.

KW - Factorial language

KW - Induced subgraph

KW - Permutation

KW - Polynomial-time algorithm

KW - Well-quasi-ordering

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U2 - 10.1016/j.ic.2017.08.001

DO - 10.1016/j.ic.2017.08.001

M3 - Article

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SN - 0890-5401

VL - 256

SP - 321

EP - 333

JO - Information and Computation

JF - Information and Computation

ER -

WQO is decidable for factorial languages

Abstract

Keywords

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