http://hdl.handle.net/11089/26349 2026-04-05T18:29:19Z http://hdl.handle.net/11089/26411 Algebraic Characterization of the Local Craig Interpolation Property Gyenis, Zalán 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. We continue ongoing research in abstract algebraic logic and use the framework developed by Andréka–Németi and Sain.  2018-01-01T00:00:00Z http://hdl.handle.net/11089/26412 Applications of Algebra in Logic and Computer Science – the Past and the Future Grygiel, Joanna 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. 2018-01-01T00:00:00Z http://hdl.handle.net/11089/26410 PC-lattices: A Class of Bounded BCK-algebras Shoar, Sadegh Khosravi; Borzooei, Rajab Ali; Moradian, R.; Radfar, Atefe 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 new class of BCK-lattices. Specially, we prove that any Boolean lattice is a PC-lattice and we show that if X is a PC-lattice with condition S, then X is an involutory BCK-algebra if and only if X is a commutative BCK-algebra. Finally, we prove that any PC-lattice with condition (S) is a distributive BCK-algebra. 2018-01-01T00:00:00Z http://hdl.handle.net/11089/26409 A Useful Four-Valued Extension of the Temporal Logic KtT4 Degauquier, Vincent 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 axiom 4). This article aims, firstly, at providing both a model-theoretic and a proof-theoretic characterisation of a four-valued extension of the temporal logic KtT4 and, secondly, at identifying some of the most useful properties of this extension in the context of partial and paraconsistent logics. 2018-01-01T00:00:00Z