Pseudo-inversion on formal languages

Da Jung Cho, Yo Sub Han, Shin Dong Kang, Hwee Kim, Sang Ki Ko, Kai Salomaa

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations

Abstract

We consider the pseudo-inversion operation inspired by a biological event as a result of the partial inversion. We define the pseudo-inversion of a string w=uxv to consist of all strings vRxuR, where uv ≠ λ and consider the operation from a formal language theoretic viewpoint. We show that regular languages are closed under the pseudo-inversion operation whereas context-free languages are not. Furthermore, we consider the iterated pseudo-inversion operation and establish the basic properties. Finally, we introduce the pseudo-inversion-freeness and examine closure properties and decidability problems for regular and context-free languages. We establish that pseudo-inversion-freeness is decidable in polynomial time for regular languages and undecidable for context-free languages.

Original languageEnglish
Title of host publicationUnconventional Computation and Natural Computation - 13th International Conference, UCNC 2014, Proceedings
PublisherSpringer Verlag
Pages93-104
Number of pages12
ISBN (Print)9783319081229
DOIs
StatePublished - 2014
Event13th International Conference on Unconventional Computation and Natural Computation, UCNC 2014 - London, ON, Canada
Duration: 14 Jul 201418 Jul 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8553 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference13th International Conference on Unconventional Computation and Natural Computation, UCNC 2014
Country/TerritoryCanada
CityLondon, ON
Period14/07/1418/07/14

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