On Nov 2, 2007 8:52 PM, Matt Mahoney <[EMAIL PROTECTED]> wrote:

> --- Benjamin Goertzel <[EMAIL PROTECTED]> wrote:
> > Computer theorem-provers are way worse than any human mathematician,
> > except at very special types of theorems.
>
> True, there has not been much progress since Gelernter used internal
> graphical
> models to heuristically trim the search space to prove theorems in plane
> geometry in 1959 [1].
>
> 1. Gelernter, H., Realization of a Geometry-Theorem Proving Machine,
> Proceedings of an International Conference on Information Processing,
> Paris:
> UNESCO House, pp. 273-282, 1959.



There has been progress in "narrow-AI theorem proving", e.g.

-- theorem-provers to prove correctness of circuits

-- theorem-provers to prove existence/uniqueness theorems for
various sorts of differential equations

etc. etc.

But not at general-purpose theorem-proving...

-- Ben G

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