Set Theory and Logic


Refutation of Cut-Elimination for Intuitionistic Fuzzy Logic Via Nested Sequents

Authors: Colin James III

We evaluate the inference rules and axioms of the logic system IF, implied as a superset of connexive logic. The inference rule gen is not tautologous, to refute the system at its outset. Four axioms are also not tautologous. What follows is that the seven properties claimed of separation, symmetry, internality, cut-eliminability, subformula property, admissibility of structural rules, and invertibility of rules are also not confirmed. Hence the IF logic system connexive logic in its entirety, and takes with it the conjecture of cut-elimination for intuitionistic fuzzy logic via nested sequents. These results form a non tautologous fragment of the universal logic VŁ4.

Comments: 2 Pages. © Copyright 2019 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] 2019-10-18 09:08:15

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