Jumping Automata over Infinite Words

Shaull Almagor, Omer Yizhaq

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

Abstract

Jumping automata are finite automata that read their input in a non-consecutive manner, disregarding the order of the letters in the word. We introduce and study jumping automata over infinite words. Unlike the setting of finite words, which has been well studied, for infinite words it is not clear how words can be reordered. To this end, we consider three semantics: automata that read the infinite word in some order so that no letter is overlooked, automata that can permute the word in windows of a given size k, and automata that can permute the word in windows of an existentially-quantified bound. We study expressiveness, closure properties and algorithmic properties of these models.

Original languageEnglish
Title of host publicationDevelopments in Language Theory - 27th International Conference, DLT 2023, Proceedings
EditorsFrank Drewes, Mikhail Volkov
PublisherSpringer Science and Business Media Deutschland GmbH
Pages9-22
Number of pages14
ISBN (Print)9783031332630
DOIs
StatePublished - 2023
Event27th International Conference on Developments in Language Theory, DLT 2023 - Umeå, Sweden
Duration: 12 Jun 202316 Jun 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13911 LNCS

Conference

Conference27th International Conference on Developments in Language Theory, DLT 2023
Country/TerritorySweden
CityUmeå
Period12/06/2316/06/23

Keywords

  • Infinite Words
  • Jumping Automata
  • Parikh Image

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

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