Bulletin of the Section of Logic: Ostatnio dodane

Wyświetlanie pozycji 81-100 z 214

    • Sequent Calculi for Orthologic with Strict Implication 

      Kawano, Tomoaki (Wydawnictwo Uniwersytetu Łódzkiego, 2021-11-09)
      In this study, new sequent calculi for a minimal quantum logic (\(\bf MQL\)) are discussed that involve an implication. The sequent calculus \(\bf GO\) for \(\bf MQL\) was established by Nishimura, and it is complete with ...

    • A Note on the Intuitionistic Logic of False Belief 

      Witczak, Tomasz (Wydawnictwo Uniwersytetu Łódzkiego, 2021-09-01)
      In this paper we analyse logic of false belief in the intuitionistic setting. This logic, studied in its classical version by Steinsvold, Fan, Gilbert and Venturi, describes the following situation: a formula $\varphi$ is ...

    • Ternary Relational Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer's Logic B 

      López, Sandra M. (Wydawnictwo Uniwersytetu Łódzkiego, 2021-09-02)
      Six interesting variants of the logics BN4 and E4—which can be considered as the 4-valued logics of the relevant conditional and (relevant) entailment, respectively—were previously developed in the literature. All these ...

    • An Epistemological Study of Theory Change 

      Aravanis, Theofanis (Wydawnictwo Uniwersytetu Łódzkiego, 2021-11-09)
      Belief Revision is a well-established field of research that deals with how agents rationally change their minds in the face of new information. The milestone of Belief Revision is a general and versatile formal framework ...

    • An Arithmetically Complete Predicate Modal Logic 

      Hao, Yunge; Tourlakis, George (Wydawnictwo Uniwersytetu Łódzkiego, 2021-08-23)
      This paper investigates a first-order extension of GL called \(\textup{ML}^3\). We outline briefly the history that led to \(\textup{ML}^3\), its key properties and some of its toolbox: the \emph{conservation theorem}, its ...

    • On Complete Representations and Minimal Completions in Algebraic Logic, Both Positive and Negative Results 

      Sayed Ahmed, Tarek (Wydawnictwo Uniwersytetu Łódzkiego, 2021-07-21)
      Fix a finite ordinal \(n\geq 3\) and let \(\alpha\) be an arbitrary ordinal. Let \(\mathsf{CA}_n\) denote the class of cylindric algebras of dimension \(n\) and \(\sf RA\) denote the class of relation algebras. Let ...

    • A Sound Interpretation of Leśniewski's Epsilon in Modal Logic KTB 

      Inoue, Takao (Wydawnictwo Uniwersytetu Łódzkiego, 2021-11-09)
      In this paper, we shall show that the following translation \(I^M\) from the propositional fragment \(\bf L_1\) of Leśniewski's ontology to modal logic \(\bf KTB\) is sound: for any formula \(\phi\) and \(\psi\) of \(\bf ...

    • The (Greatest) Fragment of Classical Logic that Respects the Variable-Sharing Principle (in the FMLA-FMLA Framework) 

      Szmuc, Damian E. (Wydawnictwo Uniwersytetu Łódzkiego, 2021-05-27)
      We examine the set of formula-to-formula valid inferences of Classical Logic, where the premise and the conclusion share at least a propositional variable in common. We review the fact, already proved in the literature, ...

    • On the Category of EQ-algebras 

      Akhlaghinia, Narges; Aaly Kologani, Mona; Borzooei, Rajab Ali; Xin, Xiao Long (Wydawnictwo Uniwersytetu Łódzkiego, 2021-01-20)
      In this paper, we studied the category of EQ-algebras and showed that it is complete, but it is not cocomplete, in general. We proved that multiplicatively relative EQ-algebras have coequlizers and we calculated coproduct ...

    • Neighbourhood Semantics for Graded Modal Logic 

      Chen, Jinsheng; van Ditmarsch, Hans; Greco, Giuseppe; Tzimoulis, Apostolos (Wydawnictwo Uniwersytetu Łódzkiego, 2021-07-14)
      We introduce a class of neighbourhood frames for graded modal logic embedding Kripke frames into neighbourhood frames. This class of neighbourhood frames is shown to be first-order definable but not modally definable. We ...

    • A General Model of Neutrosophic Ideals in BCK/BCI-algebras Based on Neutrosophic Points 

      Bordbar, Hashem; Borzooei, Rajab Ali; Smarandache, Florentin; Jun, Young Bae (Wydawnictwo Uniwersytetu Łódzkiego, 2020-08-15)
      More general form of (∈, ∈ ∨q)-neutrosophic ideal is introduced, and their properties are investigated. Relations between (∈, ∈)-neutrosophic ideal and (∈, ∈ ∨q(kT ,kI ,kF ))-neutrosophic ideal are discussed. Characterizations ...

    • Falling Shadow Theory with Applications in Hoops 

      Borzooei, Rajab Ali; Rezaei, Gholam Reza; Kologhani, Mona Aaly; Jun, Young Bae (Wydawnictwo Uniwersytetu Łódzkiego, 2021-01-20)
      The falling shadow theory is applied to subhoops and filters in hoops. The notions of falling fuzzy subhoops and falling fuzzy filters in hoops are introduced, and several properties are investigated. Relationship between ...

    • Tense Operators on BL-algebras and Their Applications 

      Paad, Akbar (Wydawnictwo Uniwersytetu Łódzkiego, 2021-05-28)
      In this paper, the notions of tense operators and tense filters in \(BL\)-algebras are introduced and several characterizations of them are obtained. Also, the relation among tense \(BL\)-algebras, tense \(MV\)-algebras ...

    • A Note on Gödel-Dummet Logic LC 

      Robles, Gemma; Méndez, José M. (Wydawnictwo Uniwersytetu Łódzkiego, 2021-07-01)
      Let \(A_{0},A_{1},...,A_{n}\) be (possibly) distintict wffs, \(n\) being an odd number equal to or greater than 1. Intuitionistic Propositional Logic IPC plus the axiom \((A_{0}\rightarrow A_{1})\vee ...\vee (A_{n-1}\rightarrow ...

    • A Note on 3×3-valued Łukasiewicz Algebras with Negation 

      Gallardo, Carlos; Ziliani, Alicia (Wydawnictwo Uniwersytetu Łódzkiego, 2021-05-27)
      In 2004, C. Sanza, with the purpose of legitimizing the study of \(n\times m\)-valued Łukasiewicz algebras with negation (or \(\mathbf{NS}_{n\times m}\)-algebras) introduced \(3 \times 3\)-valued Łukasiewicz algebras with ...

    • Omitting Types in Fragments and Extensions of First Order Logic 

      Sayed Ahmed, Tarek (Wydawnictwo Uniwersytetu Łódzkiego, 2021-05-28)
      Fix \(2 < n < \omega\). Let \(L_n\) denote first order logic restricted to the first n variables. Using the machinery of algebraic logic, positive and negative results on omitting types are obtained for \(L_n\) and for ...

    • Extended MR with Nesting of Predicate Expressions as a Basic Logic for Social Phenomena 

      Parol, Aleksander; Pietrowicz, Krzysztof; Szalacha-Jarmużek, Joanna (Wydawnictwo Uniwersytetu Łódzkiego, 2021-06-30)
      In this article, we present the positional logic that is suitable for the formalization of reasoning about social phenomena. It is the effect of extending the Minimal Realisation (MR) logic with new expressions. These ...

    • Common Knowledge, Common Attitudes and Social Reasoning 

      Thomason, Richmond H. (Wydawnictwo Uniwersytetu Łódzkiego, 2021-06-30)
      For as long as there have been theories about common knowledge, they have been exposed to a certain amount of skepticism. Recent more sophisticated arguments question whether agents can acquire common attitudes and whether ...

    • Tableau Systems for Epistemic Positional Logics 

      Klonowski, Mateusz; Krawczyk, Krzysztof Aleksander; Pięta, Bożena (Wydawnictwo Uniwersytetu Łódzkiego, 2021-06-30)
      The goal of the article is twofold. The first one is to provide logics based on positional semantics which will be suitable for the analysis of epistemic modalities such as ‘agent ... knows/beliefs that ...’. The second ...

    • The Good, the Bad and the Right: Formal Reductions among Deontic Concepts 

      Glavaničová, Daniela; Pascucci, Matteo (Wydawnictwo Uniwersytetu Łódzkiego, 2021-06-30)
      The present article provides a taxonomic analysis of bimodal logics of normative ideality and normative awfulness, two notions whose meaning is here explained in terms of the moral values pursued by a given community. ...