Now showing items 1-4 of 4

    • Labeled Sequent Calculus for Orthologic 

      Kawano, Tomoaki (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      Orthologic (OL) is non-classical logic and has been studied as a part of quantumlogic. OL is based on an ortholattice and is also called minimal quantum logic.Sequent calculus is used as a tool for proof in logic and has ...
    • On Injective MV-Modules 

      Borzooei, Rajabali A.; Goraghani, S. Saidi (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      In this paper, by considering the notion of MV-module, which is the structure that naturally correspond to lu-modules over lu-rings, we study injective MV-modules and we investigate some conditions for constructing injective ...
    • On the Definability of Leśniewski’s Copula ‘is’ in Some Ontology-Like Theories 

      Łyczak, Marcin; Pietruszczak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      We formulate a certain subtheory of Ishimoto’s [1] quantifier-free fragment of Leśniewski’s ontology, and show that Ishimoto’s theory can be reconstructed in it. Using an epimorphism theorem we prove that our theory is ...
    • Rule-Generation Theorem and its Applications 

      Indrzejczak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      In several applications of sequent calculi going beyond pure logic, an introduction of suitably defined rules seems to be more profitable than addition of extra axiomatic sequents. A program of formalization of mathematical ...