Bulletin of the Section of Logic: Ostatnio dodane

Wyświetlanie pozycji 161-180 z 201

    • Involutive Nonassociative Lambek Calculus: Sequent Systems and Complexity 

      Buszkowski, Wojciech (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      In [5] we study Nonassociative Lambek Calculus (NL) augmented with De Morgan negation, satisfying the double negation and contraposition laws. This logic, introduced by de Grooté and Lamarche [10], is called Classical ...

    • Some Weak Variants of the Existence and Disjunction Properties in Intermediate Predicate Logics 

      Suzuki, Nobu-Yuki (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      We discuss relationships among the existence property, the disjunction property, and their weak variants in the setting of intermediate predicate logics. We deal with the weak and sentential existence properties, and the ...

    • On Theses Without Iterated Modalities of Modal Logics Between C1 and S5. Part 1 

      Pietruszczak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      This is the first, out of two papers, in which we identify all logics between C1 and S5 having the same theses without iterated modalities. All these logics canbe divided into certain groups. Each such group depends only ...

    • From Gentzen to Jaskowski and Back: Algorithmic Translation of Derivations Between the Two Main Systems of Natural Deduction 

      von Plato, Jan (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      The way from linearly written derivations in natural deduction, introduced by Jaskowski and often used in textbooks, is a straightforward root-first translation. The other direction, instead, is tricky, because of the ...

    • Universality of Logic 

      Woleński, Jan (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      This paper deals with the problem of universality property of logic. At first, this property is analyzed in the context of first-order logic. Three senses of the universality property are distinguished: universal applicability, ...

    • The Infinite-Valued Łukasiewicz Logic and Probability 

      Czelakowski, Janusz (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      The paper concerns the algebraic structure of the set of cumulative distribution functions as well as the relationship between the resulting algebra and the infinite-valued Łukasiewicz algebra. The paper also discusses ...

    • Four-Valued Logics BD and DM4: Expansions 

      Karpenko, Alexander S. (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      The paper discusses functional properties of some four-valued logics which are the expansions of four-valued Belnap’s logic DM4. At first, we consider the logics with two designated values, and then logics defined by ...

    • Three Doctrines of the Nature of Mathematics (Some Comments of a Knowledge Theorist) 

      Wójcicki, Ryszard (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      In this note I am reflecting on interrelations between three concepts of truth: (1) that employed by Hilbert arguing his formalist view on the nature of mathematics, (2) Freges idea of truth supported by mathematical ...

    • Cut Elimination Theorem for Non-Commutative Hypersequent Calculus 

      Indrzejczak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      Hypersequent calculi (HC) can formalize various non-classical logics. In [9] we presented a non-commutative variant of HC for the weakest temporal logic of linear frames Kt4.3 and some its extensions for dense and serial ...

    • Professor Grzegorz Malinowski in Honorem 

      Indrzejczak, Andrzej; Ciuciura, Janusz (Wydawnictwo Uniwersytetu Łódzkiego, 2017)

    • Preserving Filtering Unification by Adding Compatible Operations to Some Heyting Algebras 

      Dzik, Wojciech; Radeleczki, Sándor (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
      We show that adding compatible operations to Heyting algebras and to commutative residuated lattices, both satisfying the Stone law ¬x ⋁ ¬¬x = 1, preserves filtering (or directed) unification, that is, the property that ...

    • Some Algebraic and Algorithmic Problems in Acoustocerebrography 

      Kolany, Adam; Wrobel, Miroslaw (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
      Progress in the medical diagnostic is relentlessly pushing the measurement technology as well with its intertwined mathematical models and solutions. Mathematics has applications to many problems that are vital to human ...

    • Irredundant Decomposition of Algebras into One-Dimensional Factors 

      Staruch, Bogdan (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
      We introduce a notion of dimension of an algebraic lattice and, treating such a lattice as the congruence lattice of an algebra, we introduce the dimension of an algebra, too. We define a star-product as a special kind of ...

    • Decomposition of Congruence Modular Algebras into Atomic, Atomless Locally Uniform and Anti-Uniform Parts 

      Staruch, Bogdan; Staruch, Bożena (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
      We describe here a special subdirect decomposition of algebras with modular congruence lattice. Such a decomposition (called a star-decomposition) is based on the properties of the congruence lattices of algebras. We ...

    • Characterization of Birkhoff’s Conditions by Means of Cover-Preserving and Partially Cover-Preserving Sublattices 

      Łazarz, Marcin (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
      In the paper we investigate Birkhoff’s conditions (Bi) and (Bi*). We prove that a discrete lattice L satisfies the condition (Bi) (the condition (Bi*)) if and only if L is a 4-cell lattice not containing a cover-preserving ...

    • Interpolation in Normal Extensions of the Brouwer Logic 

      Kostrzycka, Zofia (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
      The Craig interpolation property and interpolation property for deducibility are considered for special kind of normal extensions of the Brouwer logic.

    • On Direct Limit Closed Classes of Algebras 

      Halušková, Emília (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
      Axiomatic classes of algebras of a given type which are closed with respect to direct limits are studied in this paper.

    • Monadic Fragments of Intuitionistic Control Logic 

      Glenszczyk, Anna (Wydawnictwo Uniwersytetu Łódzkiego, 2016)
      We investigate monadic fragments of Intuitionistic Control Logic (ICL), which is obtained from Intuitionistic Propositional Logic (IPL) by extending language of IPL by a constant distinct from intuitionistic constants. In ...

    • 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 ...