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Positive Fragment of MTL with One Variable and Its Computational Complexity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F09%3A00327989" target="_blank" >RIV/67985807:_____/09:00327989 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Positive Fragment of MTL with One Variable and Its Computational Complexity

  • Original language description

    This abstract focuses on the computational complexity of Monoidal t-norm Based Logic, namely on its positive fragment. Since we are able to prove that this fragment is complete w.r.t. the class of 1-generated algebras, we obtain several consequences forits computational complexity. In particular, we show that up to some extent the computational complexity remains the same if we restrict the number of variables in our language to a single variable. These results were presented at the conference Topology, Algebra and Categories in Logic organized by University of Amsterdam in 2009.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/KJB100300701" target="_blank" >KJB100300701: Complexity of t-norm based logics - algebraic and proof-theoretical approach</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