Computing the Uncomputable Rado Sigma Function

Joachim Hertel · The Mathematica Journal · 2009

We discuss a new tool that is successfully used in an ongoing project to compute SH5L: an automated symbolic induction prover (SIP).The SIP tool is written in Mathematica and provides a unified way to prove that large sets of Turing machines are nonhalters.In a way, an SIP enables certain Turing machines to provide their own proof of being a nonhalter.

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