ChatGPT and Mark work together to solve a hard problem

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dr.mt...@gmail.com

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Aug 13, 2026, 3:20:00 AM (3 days ago) Aug 13
to Shen
This was something I looked at in 2010 and did several times
in different ways, looking for the shortest cleanest version.
The task is to reduce Shen functions to logical formulae.

e.g. 

((factorial 0) = 1)
(all X ((~ (X = 0)) => ((factorial X) = (* X (factorial (- X 1))))))

is mechanically extracted from the factorial definition.  

Its a seriously hard problem and I did it with myself supplying
the blueprint and ChatGPT figuring out the bugs.   It is a tricky
program using both Shen Prolog and Shen in harness.  W.O.
ChatGPT I think I might not have finished this.

The technology has come a scary way in a year and I wonder
honestly what world our kids are going to inherit.  Seriously;
and I'm an ex-AI guy.

The program needs a correctness proof that the logical representation
captures the semantics properly.  Again this will be a joint AI/Mark
effort if it happens.

Mark
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