Bulletin of the Section of Logic 45/1 (2016)

Recent Submissions

  • Commutative Energetic Subsets of BCK-Algebras 

    Jun, Young Bae; Roh, Eun Hwan; Song, Seok Zun (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
    The notions of a C-energetic subset and (anti) permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an (anti) permeable C-value are provided. ...

  • An Alternative Natural Deduction for the Intuitionistic Propositional Logic 

    Ilić, Mirjana (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
    A natural deduction system NI, for the full propositional intuitionistic logic, is proposed. The operational rules of NI are obtained by the translation from Gentzen’s calculus LJ and the normalization is proved, via ...

  • A New Arithmetically Incomplete First- Order Extension of Gl All Theorems of Which Have Cut Free Proofs 

    Tourlakis, George (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
    Reference [12] introduced a novel formula to formula translation tool (“formulators”) that enables syntactic metatheoretical investigations of first-order modal logics, bypassing a need to convert them first into Gentzen ...

  • Elementary Proof of Strong Normalization for Atomic F 

    Ferreira, Fernando; Ferreira, Gilda (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
    We give an elementary proof (in the sense that it is formalizable in Peano arithmetic) of the strong normalization of the atomic polymorphic calculus Fₐₜ (a predicative restriction of Girard’s system F).

  • An Elementary Proof of Strong Normalization for Atomic F 

    Ferreira, Fernando; Ferreira, Gilda (Uniwersytet Łódzki. Katedra Logiki i Metodologii Nauk, 2016)
    We give an elementary proof (in the sense that it is formalizable in Peano arithmetic) of the strong normalization of the atomic polymorphic calculus F_{at} (a predicative restriction of Girard’s system F).