Bulletin of the Section of Logic: Recent submissions

Now showing items 141-160 of 201

    • B-almost distributive fuzzy lattice 

      Assaye, Berhanu; Alemneh, Mihret; Tefera, Gerima (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      The paper introduces the concept of B-Almost distributive fuzzy lattice (BADFL) in terms of its principal ideal fuzzy lattice. Necessary and sufficient conditions for an ADFL to become a B-ADFL are investigated. We also ...

    • On interpolation in next (kb.alt(2)) 

      Kostrzycka, Zofia (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      We prove that there is infinitely many tabular modal logics extending KB.Alt(2) which have interpolation.

    • Identity, equality, nameability and completeness. Part II 

      Manzano, María; Moreno, Manuel Crescencio (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      This article is a continuation of our promenade along the winding roads of identity, equality, nameability and completeness. We continue looking for a place where all these concepts converge. We assume that identity is a ...

    • Grzegorczyk Algebras Revisited 

      Stronkowski, Michał M. (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      We provide simple algebraic proofs of two important facts, due to Zakharyaschev and Esakia, about Grzegorczyk algebras.

    • Pseudo-BCH Semilattices 

      Walendziak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      In this paper we study pseudo-BCH algebras which are semilattices or lattices with respect to the natural relations ≤; we call them pseudo-BCH join-semilattices, pseudo-BCH meet-semilattices and pseudo-BCH lattices, ...

    • Variable Sharing in Substructural Logics: an Algebraic Characterization 

      Badia, Guillermo (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      We characterize the non-trivial substructural logics having the variable sharing property as well as its strong version. To this end, we find the algebraic counterparts over varieties of these logical properties.

    • Free Modal Pseudocomplemented De Morgan Algebras 

      Figallo, Aldo V.; Oliva, Nora; Ziliani, Alicia (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      Modal pseudocomplemented De Morgan algebras (or mpM-algebras) were investigated in A. V. Figallo, N. Oliva, A. Ziliani, Modal pseudocomplemented De Morgan algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica ...

    • Categorical Abstract Algebraic Logic: Pseudo-Referential Matrix System Semantics 

      Voutsadakis, George (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      This work adapts techniques and results first developed by Malinowski and by Marek in the context of referential semantics of sentential logics to the context of logics formalized as π-institutions. More precisely, the ...

    • Algebraic Characterization of the Local Craig Interpolation Property 

      Gyenis, Zalán (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      The sole purpose of this paper is to give an algebraic characterization, in terms of a superamalgamation property, of a local version of Craig interpolation theorem that has been introduced and studied in earlier papers. ...

    • Applications of Algebra in Logic and Computer Science – the Past and the Future 

      Grygiel, Joanna (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      We present the history of the conference Applications of Algebra in Logic and Computer Science, whose twenty-third edition will be held in March, 2019. At the end we outline some plans for the future.

    • PC-lattices: A Class of Bounded BCK-algebras 

      Shoar, Sadegh Khosravi; Borzooei, Rajab Ali; Moradian, R.; Radfar, Atefe (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      In this paper, we define the notion of PC-lattice, as a generalization of finite positive implicative BCK-algebras with condition (S) and bounded commutative BCK-algebras. We investiate some results for Pc-lattices being ...

    • A Useful Four-Valued Extension of the Temporal Logic KtT4 

      Degauquier, Vincent (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      The temporal logic KtT4 is the modal logic obtained from the minimal temporal logic Kt by requiring the accessibility relation to be reflexive (which corresponds to the axiom T) and transitive (which corresponds to the ...

    • Int-Soft Ideals of Pseudo MV-Algebras 

      Jun, Young Bae; Song, Seok-Zun; Bordbar, Hashem (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      The notion of (implicative) int-soft ideal in a pseudo MV-algebra is introduced, and related properties are investigated. Conditions for a soft set to be an int-soft ideal are provided. Characterizations of (implicative) ...

    • An Inferentially Many-Valued Two-Dimensional Notion of Entailment 

      Blasio, Carolina; Marcos, João; Wansing, Heinrich (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      Starting from the notions of q-entailment and p-entailment, a two-dimensional notion of entailment is developed with respect to certain generalized q-matrices referred to as B-matrices. After showing that every purely ...

    • Logics with Impossibility as the Negation and Regular Extensions of the Deontic Logic D2 

      Mruczek-Nasieniewska, Krystyna; Nasieniewski, Marek (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      In [1] J.-Y. Bèziau formulated a logic called Z. Bèziau’s idea was generalized independently in [6] and [7]. A family of logics to which Z belongs is denoted in [7] by K. In particular; it has been shown in [6] and [7] ...

    • On Theses without Iterated Modalities of Modal Logics Between C1 and S5. Part 2 

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

    • A Syntactic Approach to Closure Operation 

      Nowak, Marek (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      In the paper, tracing the traditional Hilbert-style syntactic account of logics, a syntactic characteristic of a closure operation defined on a complete lattice follows. The approach is based on observation that the role ...

    • Deontic Paradoxes and Tableau System for Kalinowski’s Deontic Logic K1 

      Ciuciura, Janusz (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      In 1953, Jerzy Kalinowski published his paper on the logic of normative sentences. The paper is recognized as one of the first publications on the formal system of deontic logic. The aim of this paper is to present a tableau ...

    • Identity, Equality, Nameability and Completeness 

      Manzano, María; Moreno, Manuel Crescencio (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      This article is an extended promenade strolling along the winding roads of identity, equality, nameability and completeness, looking for places where they converge. We have distinguished between identity and equality; the ...

    • Bayesian Propositional Logic 

      Jarmużek, Tomasz; Klonowski, Mateusz; Malinowski, Jacek (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      We define and investigate from a logical point of view a family of consequence relations defined in probabilistic terms. We call them relations of supporting, and write: |≈w , where w is a probability function on a Boolean ...