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General Logic-Systems and Consequence Operators

Robert A. Herrmann
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Abstract

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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Robert A. Herrmann. 2005-12-24. General Logic-Systems and Consequence Operators. https://arxiv.org/abs/math/0512559

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