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 ersatz-systems.com.

Download: PDF

Submission history

[v1] 2019-10-18 09:08:15

Unique-IP document downloads: 8 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus