Abstract modal logics

Studia Logica 55 (2):273 - 299 (1995)
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In this paper we develop a general framework to deal with abstract logics associated with a given modal logic. In particular we study the abstract logics associated with the weak and strong deductive systems of the normal modal logicK and its intuitionistic version. We also study the abstract logics that satisfy the conditionC +(X)=C( in I n X) and find the modal deductive systems whose abstract logics, in addition to being classical or intuitionistic, satisfy that condition. Finally we study the deductive systems whose abstract logics satisfy, in addition to the already mentioned properties, the property that the operatorC + is classical relative to some new defined operations.



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Ramon Jansana Ferrer
Universitat de Barcelona

Citations of this work

A survey of abstract algebraic logic.J. M. Font, R. Jansana & D. Pigozzi - 2003 - Studia Logica 74 (1-2):13 - 97.

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References found in this work

Protoalgebraic logics.W. J. Blok & Don Pigozzi - 1986 - Studia Logica 45 (4):337 - 369.
Klassische und nichtklassische Aussagenlogik.Wolfgang Rautenberg - 1980 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 11 (2):405-407.
A note on the logic of elsewhere.Krister Segerberg - 1980 - Theoria 46 (2-3):183-187.
Algebraic semantics for quasi-classical modal logics.W. J. Blok & P. Köhler - 1983 - Journal of Symbolic Logic 48 (4):941-964.

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