Bulletin of the Section of Logic: Recent submissions
Now showing items 161-180 of 214
-
Categorical Abstract Algebraic Logic: Pseudo-Referential Matrix System Semantics
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 ... -
Involutive Nonassociative Lambek Calculus: Sequent Systems and Complexity
(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
(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
(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
(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
(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
(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
(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 ...