Recent Submissions

  • Categorical Abstract Algebraic Logic: Referential π-Institutions 

    Voutsadakis, George (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
    Wójcicki introduced in the late 1970s the concept of a referential semantics for propositional logics. Referential semantics incorporate features of the Kripke possible world semantics for modal logics into the realm of ...
  • Closure Operators on Complete Almost Distributive Lattices-III 

    Rao, Calyampudi Radhakrishna; Undurthi, Venugopalam (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
    In this paper, we prove that the lattice of all closure operators of a complete Almost Distributive Lattice L with fixed maximal element m is dual atomistic. We define the concept of a completely meet-irreducible element ...
  • An Observation Concerning Porte’s Rule in Modal Logic 

    French, Rohan; Humberstone, Lloyd (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
    It is well known that no consistent normal modal logic contains (as theorems) both ◊A and ◊¬A (for any formula A). Here we observe that this claim can be strengthened to the following: for any formula A, either no consistent ...
  • Non-Fregean Logics of Analytic Equivalence (II) 

    Biłat, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
    This paper presents the main assumptions of Andrzej Grzegorczyk’s last research project concerning the logic of synonymity. It shows that the basis of logic of analytic equivalence, presented in the first part of the work, ...
  • On Some Applied First-Order Theories which Can Be Represented by Definitions 

    Shalack, Vladimir (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
    In the paper we formulate a sufficient criterion in order for the first order theory with finite set of axioms to be represented by definitions in predicate calculus. We prove the corresponding theorem. According to this ...
  • Non-Fregean Logics of Analytic Equivalence (I) 

    Biłat, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
    The identity connective is usually interpreted in non-Fregean logic as an operator representing the identity of situations. This interpretation is related to the modal criterion of the identity of sentence correlates, ...
  • Unifiability and Structural Completeness in Relation Algebras and in Products of Modal Logic S5 

    Dzik, Wojciech; Wróbel, Beniamin (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
    Unifiability of terms (and formulas) and structural completeness in the variety of relation algebras RA and in the products of modal logic S5 is investigated. Nonunifiable terms (formulas) which are satisfiable in varieties ...
  • A Note on some Characterization of Distributive Lattices of Finite Length 

    Łazarz, Marcin; Siemieńczuk, Krzysztof (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
    Using known facts we give a simple characterization of the distributivity of lattices of finite length.