I have been unable to make any headway into Logical Satisfiability so
I have no evidence that the Lord had ever given me any kind of
direction on the problem. I once thought that there was a very slight
chance that He had and I then figured that if I was able -against all
reasonable odds- to make some head way on the problem it could be
taken as a sublime example of rational evidence in support of
faith-based belief. I tried what I think are a few novel approaches
but all of the potential solutions were in np (they were inefficient).

I then decided to work on a simple categorization theory which I
believe would be useful in discrete AI/AGI. Fundamental categorization
is a logical problem and I again realized that it is therefore in np..
This is a very serious problem because it would mean that you would be
up against the bounds of worse-case computational feasibility with 40
variables or so. (This is especially true of expected computational
time feasibility on home computers).

Categorization algorithms can be used to refer to collections of
references. We can use logical relations about membership in indexes
of references to other data objects and the logical relationships can
be used to denote various conceptual relationships. Because a
fundamental categorization methodology would be in np and since I have
no expectation of finding an efficient solution to logical
satisfiability I realized that I would need to use extensive
cross-references and cross-categorizations if I wanted *a dreamed of*
AGI program to be able to use cross-categorization efficiently. This
is an idea I have been working on for years, but I just realized that
it would not only be useful in an AGI program but it is probably
necessary as well (for discrete methods). It is a necessary work
around that I believe can be used to avoid the logical satisfiabiity
problem.

I will try to find a few simple examples.
Jim Bromer


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AGI
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