3 years ago

The Recursion Theorem from a Different Angle.

X.Y. Newberry

This paper is about computability. I claim the likely existence of a program DoesHalt(Program, Input) such that DoesHalt( HaltsOnItself, AntiSelf ) halts with resounding 'NO'. HaltsOnItself( Program ) is simply DoesHalt( Program, Program ). AntiSelf() is a self-referential self-contradictory program that loops when HaltsOnItself() returns 'YES' and halts when HaltsOnItself() returns 'NO'.

Publisher URL: http://arxiv.org/abs/1610.04592

DOI: arXiv:1610.04592v2

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