Consequence Relations

  • Dov M. Gabbay
Part of the Synthese Library book series (SYLI, volume 92)


We introduce the notions of a consequence relation (which is a generalization of the notion of a logical system) and of a semantics. We show that every consequence relation is complete for a canonical semantics. We define the notion of one semantics being Dian in another and study the basic properties of this notion. The concepts of this chapter are generalizations of the various notions of logical system and possible world semantics found in the literature.


Consequence Relation Truth Table Logical System Axiomatic System Intuitionistic Logic 
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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1976

Authors and Affiliations

  • Dov M. Gabbay

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