Browsing Bulletin of the Section of Logic 44/3-4 (2015) by Title

Now showing items 1-5 of 5

    • A Short and Readable Proof of Cut Elimination for Two First-Order Modal Logics 

      Gao, Feng; Tourlakis, George (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
      A well established technique toward developing the proof theory of a Hilbert-style modal logic is to introduce a Gentzen-style equivalent (a Gentzenisation), then develop the proof theory of the latter, and finally transfer ...

    • Minimal Sequent Calculi for Łukasiewicz’s Finitely-Valued Logics 

      Pynko, Alexej P. (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
      The primary objective of this paper, which is an addendum to the author’s [8], is to apply the general study of the latter to Łukasiewicz’s n-valued logics [4]. The paper provides an analytical expression of a 2(n−1)-place ...

    • On Halldén Completeness of Modal Logics Determined by Homogeneous Kripke Frames 

      Kostrzycka, Zofia (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
      Halldén complete modal logics are defined semantically. They have a nice characterization as they are determined by homogeneous Kripke frames.

    • Simple Logics for Basic Algebras 

      Cı̅rulis, Ja̅nis (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
      An MV-algebra is an algebra (A, ⊕, ¬, 0), where (A, ⊕, 0) is a commutative monoid and ¬ is an idempotent operation on A satisfying also some additional axioms. Basic algebras are similar algebras that can roughly be ...

    • Tense Polyadic N × M-Valued Łukasiewicz–Moisil Algebras 

      Figallo, Aldo V.; Pelaitay, Gustavo (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
      In 2015, A.V. Figallo and G. Pelaitay introduced tense n×m-valued Łukasiewicz–Moisil algebras, as a common generalization of tense Boolean algebras and tense n-valued Łukasiewicz–Moisil algebras. Here we initiate an ...