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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. ...
Pseudo-BCH Semilattices
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
In this paper we study pseudo-BCH algebras which are semilattices or lattices with respect to the natural relations ≤; we call them pseudo-BCH join-semilattices, pseudo-BCH meet-semilattices and pseudo-BCH lattices, ...
Variable Sharing in Substructural Logics: an Algebraic Characterization
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
We characterize the non-trivial substructural logics having the variable sharing property as well as its strong version. To this end, we find the algebraic counterparts over varieties of these logical properties.
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 ...
Free Modal Pseudocomplemented De Morgan Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
Modal pseudocomplemented De Morgan algebras (or mpM-algebras) were investigated in A. V. Figallo, N. Oliva, A. Ziliani, Modal pseudocomplemented De Morgan algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica ...
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) ...
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.
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 ...
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 ...
Grzegorczyk Algebras Revisited
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
We provide simple algebraic proofs of two important facts, due to Zakharyaschev and Esakia, about Grzegorczyk algebras.