Equivalence of Linear Tree Transducers with Output in the Free Group

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Abstract

We show that equivalence of deterministic linear tree transducers can be decided in polynomial time when their outputs are interpreted over the free group. Due to the cancellation properties offered by the free group, the required constructions are not only more general, but also simpler than the corresponding constructions for proving equivalence of deterministic linear tree-to-word transducers.

Original languageEnglish
Title of host publicationDevelopments in Language Theory - 24th International Conference, DLT 2020, Proceedings
EditorsNataša Jonoska, Dmytro Savchuk
PublisherSpringer
Pages207-221
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

  • Equivalence problem
  • Free group
  • Linear tree transducer
  • Polynomial time

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