Browsing Bulletin of the Section of Logic by Title
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Falling Shadow Theory with Applications in Hoops
(Wydawnictwo Uniwersytetu Łódzkiego, 20210120)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 ... 
FirstOrder Modal Semantics and Existence Predicate
(Wydawnictwo Uniwersytetu Łódzkiego, 20220711)In the article we study the existence predicate \(\varepsilon\) in the context of semantics for firstorder modal logic. For a formula \(\varphi\) we define \(\varphi^{\varepsilon}\)  the so called existence relativization. ... 
Formal Methods and Science in Philosophy: Introduction to the Special Issue
(Wydawnictwo Uniwersytetu Łódzkiego, 20200630)Introduction to the Special Issue. 
Fourvalued expansions of DunnBelnap's logic (I): Basic characterizations
(Wydawnictwo Uniwersytetu Łódzkiego, 20201230)Basic results of the paper are that any fourvalued expansion L4 of DunnBelnap's logic DB4 is de_ned by a unique (up to isomorphism) conjunctive matrix ℳ4 with exactly two distinguished values over an expansion 4 of a De ... 
FourValued Logics BD and DM4: Expansions
(Wydawnictwo Uniwersytetu Łódzkiego, 2017)The paper discusses functional properties of some fourvalued logics which are the expansions of fourvalued Belnap’s logic DM4. At first, we consider the logics with two designated values, and then logics defined by ... 
FractionalValued Modal Logic and Soft Bilateralism
(Wydawnictwo Uniwersytetu Łódzkiego, 20230816)In a recent paper, under the auspices of an unorthodox variety of bilateralism, we introduced a new kind of prooftheoretic semantics for the base modal logic \(\mathbf{K}\), whose values lie in the closed interval \([0,1]\) ... 
Free Modal Pseudocomplemented De Morgan Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)Modal pseudocomplemented De Morgan algebras (or mpMalgebras) were investigated in A. V. Figallo, N. Oliva, A. Ziliani, Modal pseudocomplemented De Morgan algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica ... 
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 rootfirst translation. The other direction, instead, is tricky, because of the ... 
From Intuitionism to Brouwer's Modal Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 20201230)We try to translate the intuitionistic propositional logic INT into Brouwer's modal logic KTB. Our translation is motivated by intuitions behind Brouwer's axiom p →☐◊p The main idea is to interpret intuitionistic implication ... 
Full Cut Elimination and Interpolation for Intuitionistic Logic with Existence Predicate
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence predicate is presented that satisfies partial cut elimination and Craig's interpolation property; it is also conjectured that ... 
Functional Completeness in CPL via Correspondence Analysis
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)Kooi and Tamminga's correspondence analysis is a technique for designing proof systems, mostly, natural deduction and sequent systems. In this paper it is used to generate sequent calculi with invertible rules, whose only ... 
Fundamental Relation on HvBEAlgebras
(Wydawnictwo Uniwersytetu Łódzkiego, 20230809)In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)algebra and investigate some of properties, also construct new \((H_{v})BE\)algebras via this relation. We show that quotient of any ... 
Fuzzy SubEquality Algebras Based on Fuzzy Points
(Wydawnictwo Uniwersytetu Łódzkiego, 20231218)In this paper, by using the notion of fuzzy points and equality algebras, the notions of fuzzy point equality algebra, equalitysubalgebra, and ideal were established. Some characterizations of fuzzy subalgebras were ... 
A General Model of Neutrosophic Ideals in BCK/BCIalgebras Based on Neutrosophic Points
(Wydawnictwo Uniwersytetu Łódzkiego, 20200815)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 ... 
The Good, the Bad and the Right: Formal Reductions among Deontic Concepts
(Wydawnictwo Uniwersytetu Łódzkiego, 20210630)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. ... 
The (Greatest) Fragment of Classical Logic that Respects the VariableSharing Principle (in the FMLAFMLA Framework)
(Wydawnictwo Uniwersytetu Łódzkiego, 20210527)We examine the set of formulatoformula 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, ... 
Grzegorczyk Algebras Revisited
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)We provide simple algebraic proofs of two important facts, due to Zakharyaschev and Esakia, about Grzegorczyk algebras. 
Harmony and Normalisation in Bilateral Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 20230718)In a recent paper del ValleInclan and Schlöder argue that bilateral calculi call for their own notion of prooftheoretic harmony, distinct from the usual (or ‘unilateral’) ones. They then put forward a specifically bilateral ... 
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 ... 
Identity, equality, nameability and completeness. Part II
(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 ...