On Fri, Dec 14, 2018 at 5:56 AM Ben Goertzel <[email protected]> wrote:
>
> I think this was ye olde original paper on parsing as deduction,
>
> http://aclweb.org/anthology/P89-1033

Huff. So I started reading that, got distracted, and went down a
rabbit hole, here:
http://math.andrej.com/2016/01/04/a-brown-palsberg-self-interpreter-for-godels-system-t/
with background reading provided here:
https://cstheory.stackexchange.com/questions/24986/a-total-language-that-only-a-turing-complete-language-can-interpret
>
> There's a whole literature on theorem-proving for categorial grammars of 
> course
>
> https://arxiv.org/abs/cmp-lg/9508009
>
> So there's a lot of ways to show that parsing is a kind of deductive inference
>
> The other way around, that "deductive inference is a kind of parsing",
> seems to require a bit of a stretch of the concept of "parsing" ...

As you well-know, my favorite metaphor is "assembling jigsaw puzzle
pieces", and natural deduction looks like jigsaw-puzzle-piece
assembly, to me.  Not every problem can be reduced to this, but where,
exactly, the boundary lies is quite unclear to me.

> On Fri, Dec 14, 2018 at 1:48 PM Zar Goertzel <[email protected]> wrote:
> >
> > We had happened to be talking about it at lunch when you brought that up. 
> > It seems likely they're in a similar state to you: it seems obvious and 
> > they can wave their hands around, but haven't bothered formally writing it 
> > up.
> >
> > Would it be hard to write up formally?

My personality is such that I'd have to do a lot of background reading
first, and that takes time, which seems in short-supply.  There's bit
of a balance point: the best time to write (for me; for everyone?) is
just when I first understand it, before it becomes so trivial that I'm
bored listening to my own voice.  There's a shelf-life for ideas.

The rabbit hole, above, is very interesting just right now.

> > The logic of term rewriting is paramodulation? That's not a modal logic 
> > though . . .

Beats me. I will have to look, now.

--linas

-- 
cassette tapes - analog TV - film cameras - you

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