Recent Submissions

  • Soju Filters in Hoop Algebras 

    Borzooei, Rajab Ali; Rezaei, Gholam Reza; Kologhani, Mona Aaly; Jun, Young Bae (Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)
    The notions of (implicative) soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions ...
  • One-Sided Sequent Systems for Nonassociative Bilinear Logic: Cut Elimination and Complexity 

    Płaczek, Paweł (Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-13)
    Bilinear Logic of Lambek amounts to Noncommutative MALL of Abrusci. Lambek proves the cut–elimination theorem for a one-sided (in fact, left-sided) sequent system for this logic. Here we prove an analogous result for the ...
  • On GE-algebras 

    Bandaru, Ravikumar; Saeid, Arsham Borumand; Jun, Young Bae (Wydawnictwo Uniwersytetu Łódzkiego, 2020-08-30)
    Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized ...
  • A Semi-lattice of Four-valued Literal-paraconsistent-paracomplete Logics 

    Tomova, Natalya (Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-13)
    In this paper, we consider the class of four-valued literal-paraconsistent-paracomplete logics constructed by combination of isomorphs of classical logic CPC. These logics form a 10-element upper semi-lattice with respect ...
  • Super-Strict Implications 

    Gherardi, Guido; Orlandelli, Eugenio (Wydawnictwo Uniwersytetu Łódzkiego, 2021-01-20)
    This paper introduces the logics of super-strict implications, where a super-strict implication is a strengthening of C.I. Lewis' strict implication that avoids not only the paradoxes of material implication but also those ...