The relative edit-distance between two input-driven languages

Hyunjoon Cheon, Yo Sub Han, Sang Ki Ko, Kai Salomaa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

We study the relative edit-distance problem between two input-driven languages. The relative edit-distance is closely related to the language inclusion problem, which is a crucial problem in formal verification. Input-driven languages are a robust subclass of context-free languages that enable to model program analysis questions within tractable time complexity. For instance, the language inclusion (or equivalence) problem is undecidable for context-free languages whereas the problem is solvable in polynomial time for input-driven languages specified by deterministic input-driven pushdown automata (IDPDAs) and is EXPTIME-complete for nondeterministic IDPDAs. Our main contribution is to prove that the relative edit-distance problem for two input-driven languages is decidable by designing a polynomial time IDPDA construction, based on the edit-distance, that recognizes a neighbourhood of a given input-driven language. In fact, the relative edit-distance problem between two input-driven languages turns out to be EXPTIME-complete when the neighbourhood distance threshold is fixed as a constant.

Original languageEnglish
Title of host publicationDevelopments in Language Theory - 23rd International Conference, DLT 2019, Proceedings
EditorsPiotrek Hofman, Michał Skrzypczak
PublisherSpringer Verlag
Pages127-139
Number of pages13
ISBN (Print)9783030248857
DOIs
Publication statusPublished - 2019 Jan 1
Event23rd International Conference on Developments in Language Theory, DLT 2019 - Warsaw, Poland
Duration: 2019 Aug 52019 Aug 9

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11647 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference23rd International Conference on Developments in Language Theory, DLT 2019
CountryPoland
CityWarsaw
Period19/8/519/8/9

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All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Cheon, H., Han, Y. S., Ko, S. K., & Salomaa, K. (2019). The relative edit-distance between two input-driven languages. In P. Hofman, & M. Skrzypczak (Eds.), Developments in Language Theory - 23rd International Conference, DLT 2019, Proceedings (pp. 127-139). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11647 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-030-24886-4_9