Set Theory and Logic


Lothar Collatz Conjecture is Tautologous © Copyright 2017 by Colin James III All Rights Reserved.

Authors: Colin James III

Given a positive integer n, if it is even, calculate n/2, otherwise if it is odd then calculate 3n+1; repeat this process with the resulting value. (1.0) We assume the apparatus of the Meth8 modal logic model checker implementing variant system VŁ4. Meth8 allows to mix four logical values with four analytical values. The designated proof value is T. (p>(p@p))>(((p=(%p>#p))>(p\(%p<#p)))+((p=(%p<#p))>((p&(p=p))+(%p>#p)))) ; TTTT TTTT TTTT TTTT (1.1) Eq. 1.1 shows the conjecture is tautologous.

Comments: 1 Page. © Copyright 2017 by Colin James III All rights reserved.

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[v1] 2017-11-14 17:23:56

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