A Simple Character String Proof of the "True but Unprovable" Version of Gödel's First Incompleteness Theorem

A rather easy yet rigorous proof of a version of Gödel's first incompleteness theorem is presented. The version is ``each recursively enumerable theory of natural numbers with 0, 1, +, *, =, logical and, logical not, and the universal quantifier either proves a false sentence or fails to prove...

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Bibliographic Details
Main Author: Antti Valmari
Format: Article
Language:English
Published: Open Publishing Association 2014-05-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1402.7253v2