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Two-Way Automata and One-Tape Machines: Read Only Versus Linear Time

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00327647" target="_blank" >RIV/68407700:21230/18:00327647 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007%2F978-3-319-98654-8_30" target="_blank" >https://link.springer.com/chapter/10.1007%2F978-3-319-98654-8_30</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-98654-8_30" target="_blank" >10.1007/978-3-319-98654-8_30</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Two-Way Automata and One-Tape Machines: Read Only Versus Linear Time

  • Original language description

    It is well-known that one-tape Turing machines working in linear time are no more powerful than finite automata, namely they recognize exactly the class of regular languages. We study the costs, in terms of description sizes, of the conversion of nondeterministic finite automata into equivalent linear-time one-tape deterministic machines. We prove a polynomial blowup from two-way nondeterministic finite automata into equivalent weight-reducing one-tape deterministic machines that work in linear time. The blowup remains polynomial if the tape in the resulting machines is restricted to the portion which initially contains the input. However, in this case the machines resulting from our construction are not weight reducing, unless the input alphabet is unary.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GA16-05872S" target="_blank" >GA16-05872S: Probabilistic Graphical Models and Deep Learning</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    International Conference on Developments in Language Theory

  • ISBN

    978-3-319-98653-1

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    366-378

  • Publisher name

    Springer International Publishing

  • Place of publication

    Cham

  • Event location

    Tokyo

  • Event date

    Sep 10, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article