Set Theory and Logic


Refutation of Completeness for Non-Deterministic Logic

Authors: Colin James III

We show that the four-valued, non-deterministic semantics for modal logic are not complete. The demonstration uses contradictions based on Carnielli's paraconsistent logic. What follows is that infinite non-deterministic matrices are by definition incomplete.

Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. Respond to the author by email at: info@ersatz-systems dot com.

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Submission history

[v1] 2018-09-12 11:52:54

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