General Logic-Systems and Consequence Operators

Mathematics – General Mathematics

Scientific paper

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Only 5 pages. In this version, the definition of RI* is replaced by the one that appears in the expanded published version of

Scientific paper

In this paper, general logic-systems are investigated. It is shown that there
are infinitely many finite consequence operators defined on a fixed language L
that cannot be generated from a finite logic-system. It is shown that a set map
is a finite consequence operator iff it is defined by a general logic-system.

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