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Algebraic, abstract algebraic and behavioral approaches to logical systems. Part I
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Update to “A Survey of Abstract Algebraic Logic”
Studia Logica, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramon Jansana
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A Note on Natural Extensions in Abstract Algebraic Logic
Studia Logica, 2014The paper analyses the existence of natural extensions of a logic for arbitrary new sets of variables (This concept was introduced by \textit{J. Czelakowski} [Protoalgebraic logics. Dordrecht: Kluwer Academic Publishers (2001; Zbl 0984.03002)]). The proof of the transfer principle and many results require the existence of natural extensions of the ...
Petr Cintula, Carles Noguera
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Willem Blok's Contribution to Abstract Algebraic Logic
Studia Logica, 2006This is a survey paper about some results proved by W. Blok in the theory of abstract algebraic logics. The first result is a characterization of protoalgebraic logics by the Leibniz operator. A deductive system \({\mathcal S}\) is called protoalgebraic if for every set of formulas \(\Gamma\) every two \(\Gamma\)-equivalent formulas are \(\Gamma ...
Ramon Jansana
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A Survey of Abstract Algebraic Logic
Studia Logica, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Josep Maria Font +2 more
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COMPATIBILITY OPERATORS IN ABSTRACT ALGEBRAIC LOGIC
The Journal of Symbolic Logic, 2016AbstractThis paper presents a unified framework that explains and extends the already successful applications of the Leibniz operator, the Suszko operator, and the Tarski operator in recent developments in abstract algebraic logic. To this end, we refine Czelakowski’s notion of an S-compatibility operator, and introduce the notion of coherent family of
Hugo Albuquerque +2 more
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A New Hierarchy of Infinitary Logics in Abstract Algebraic Logic
Studia Logica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tomás Lávicka, Carles Noguera
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An abstract algebraic logic approach to tetravalent modal logics
Journal of Symbolic Logic, 2000AbstractThis paper contains a joint study of two sentential logics that combine a many-valued character, namely tetravalence, with a modal character; one of them is normal and the other one quasinormal. The method is to study their algebraic counterparts and their abstract models with the tools of Abstract Algebraic Logic, and particularly with those ...
Josep Maria Font, Miquel Rius
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