And the whole idea that is being advocated is that the degree search can be
implemented overtop a discreet search space (...Boolean inference can be
*relaxed* into probabilistic inference). That relaxation has to mean the
probabilistic inferences are going to be referring to overlapping
inferences doesn't it? Or at least something that can -in most cases- be
seen as roughly equivalent to overlapping references as far as the
potential for complexity is concerned.

Jim Bromer


On Wed, Apr 23, 2014 at 2:51 PM, Jim Bromer <[email protected]> wrote:

> I don't think that the probabilistic inference is (necessarily) linear if
> the interval probabilities may overlap or interact with other intervals in
> a non-sequential way. I think that even non-sequential methods are not
> linear if the method of search-backtracking is needed.
>
> Jim Bromer
>
>
> On Wed, Apr 23, 2014 at 12:05 AM, YKY (Yan King Yin, 甄景贤) <[email protected]
> > wrote:
>
>> On Sat, Apr 12, 2014 at 4:49 PM, Anastasios Tsiolakidis 
>> <[email protected]>wrote:
>>
>>> Disclaimer: the answer is probably several hours or days of googling
>>> away, just trying to save time here.
>>>
>>> I haven't looked into (non probabilistic) inference engines for a long
>>> time, and it looks like the landscape has changed. I consider them
>>> indispensable for game-like domains (including physics), and I would like
>>> to hear about the performance and subtleties of the new breed. I am working
>>> towards general game playing set-ups, which I've mentioned before as a kind
>>> of AGI drosophila.
>>>
>>
>>
>> ​May not answer your question, but boolean inference can be relaxed into
>> probabilistic inference with interval probabilities, and that becomes a
>> linear programming problem (with linear constraints on probabilities).  The
>> latter can be solved in polynomial time.
>>
>> Probabilistic inference is actually more desirable than boolean
>> inference, as far as AGI is concerned.  So the fixation on the NP hardness
>> of boolean inference may be unnecessary.  On the other hand, probabilistic
>> inference may offer a route to tackle the P=?NP question.
>>
>> As for boolean inference, I am not aware that the landscape has changed
>> drastically (as far as new techniques are concerned, but some new software
>> may have emerged).  The key issue here is to choose the kind of logic, for
>> example whether you want propositional logic, description logic (as used by
>> Semantic Web technologies), first order logic, or higher order logic.  The
>> state-of-the-art engines for each kind of logic are constantly improving,
>> but seems to be slowly =)
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