On the Balancedness of Tree-to-Word Transducers

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Abstract

A language over an alphabet (Formula Presented) of opening (A) and closing (A) brackets, is balanced if it is a subset of the Dyck language DB over B, and it is well-formed if all words are prefixes of words in DB. We show that well-formedness of a context-free language is decidable in polynomial time, and that the longest common reduced suffix can be computed in polynomial time. With this at a hand we decide for the class 2-TW of non-linear tree transducers with output alphabet B* whether or not the output language is balanced.

Original languageEnglish
Title of host publicationDevelopments in Language Theory - 24th International Conference, DLT 2020, Proceedings
EditorsNataša Jonoska, Dmytro Savchuk
PublisherSpringer
Pages222-236
Number of pages15
ISBN (Print)9783030485153
DOIs
StatePublished - 2020
Event24th International Conference on Developments in Language Theory, DLT 2020 - Tampa, United States
Duration: 11 May 202015 May 2020

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12086 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference24th International Conference on Developments in Language Theory, DLT 2020
Country/TerritoryUnited States
CityTampa
Period11/05/2015/05/20

Keywords

  • Balancedness of tree-to-word transducer
  • Equivalence
  • Longest common suffix/prefix of a CFG

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