Browsing Bulletin of the Section of Logic 44/12 (2015) by Title
Now showing items 18 of 8

A Note on some Characterization of Distributive Lattices of Finite Length
(Wydawnictwo Uniwersytetu Łódzkiego, 2015)Using known facts we give a simple characterization of the distributivity of lattices of finite length. 
An Observation Concerning Porte’s Rule in Modal Logic
(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 ... 
Categorical Abstract Algebraic Logic: Referential πInstitutions
(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 LatticesIII
(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 meetirreducible element ... 
NonFregean Logics of Analytic Equivalence (I)
(Wydawnictwo Uniwersytetu Łódzkiego, 2015)The identity connective is usually interpreted in nonFregean logic as an operator representing the identity of situations. This interpretation is related to the modal criterion of the identity of sentence correlates, ... 
NonFregean Logics of Analytic Equivalence (II)
(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 FirstOrder Theories which Can Be Represented by Definitions
(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 ... 
Unifiability and Structural Completeness in Relation Algebras and in Products of Modal Logic S5
(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 ...