Set Theory and Logic


Refutation of Residuated Modal Logic and Non-Distributive Logic

Authors: Colin James III

We evaluate the equation for residuated modal logic which is not tautologous. This refutes the conjecture of residuated modal logic, recent results on the model theory of non-distributive logics, including their Shalqvist theory, a Goldblatt-Thomason theorem for the logics of normal lattice expansions, modal translation semantics for non-distributive logics, and indeed non-distributive logic itself. These results form a non tautologous fragment of the universal logic VŁ4.

Comments: 2 Pages. © Copyright 2020 by Colin James III All rights reserved. Note that Disqus comments here are not read by the author; reply by email only to: info@cec-services dot com. Include a list publications for veracity. Updated abstract at

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[v1] 2020-01-05 11:09:23

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