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Some applications of propositional logic to cellular automata

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F09%3A00380559" target="_blank" >RIV/67985840:_____/09:00380559 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1002/malq.200810008" target="_blank" >http://dx.doi.org/10.1002/malq.200810008</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1002/malq.200810008" target="_blank" >10.1002/malq.200810008</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Some applications of propositional logic to cellular automata

  • Original language description

    In this paper we give a new proof of Richardson's theorem [31]: a global function G(A) of a cellular automaton A is injective if and only if the inverse of G(A) is a global function of a cellular automaton. Moreover, we show a way how to construct the inverse cellular automaton using the method of feasible interpolation from [20]. We also solve two problems regarding complexity of cellular automata formulated by Durand [12].

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA1019401" target="_blank" >IAA1019401: Theories, proofs and computational complexity</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematical Logic Quarterly

  • ISSN

    0942-5616

  • e-ISSN

  • Volume of the periodical

    55

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    12

  • Pages from-to

    605-616

  • UT code for WoS article

    000272570100004

  • EID of the result in the Scopus database