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Subject: Re: PV length ???

Author: Peter Fendrich

Date: 18:10:35 10/26/02

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On October 26, 2002 at 20:10:38, Dieter Buerssner wrote:

>On October 25, 2002 at 21:27:18, Nagendra Singh Tomar wrote:
>
>>score = -alphabeta(board, -alpha-1, -alpha, depth-1);
>>
>>if(score > alpha && score < beta)
>>{
>>   score = -alphabeta(board, -beta, -score, depth-1);
>>			OR
>>    score = -alphabeta(board, -beta, -score+1, depth-1);
>>}
>>
>>since the zero window search failed high and it returns
>> score, this means that the true score is >= score.
>> Now when we do a wide window search, if we want to store the PV
>>properly we have to pass alpha value less than the possible
>>  score, else PV will not get updated (Note: PV gets updated only
>>   for nodes where score > alpha.). So we pass -score+1
>>
>>Am I right ?
>
>Yes.
>
>Using -score instead of -score+1 would also be correct in another sense. For a
>"pure" alpha-beta algorithm (including PVS) it would calculate the correct
>score, allways. But, as you noted, you will miss the PV now and then. IIRC the
>original paper of Reinfeld about the Negascout algorithm used -score as bound.
>
>With typically used enhancements of alpha-beta (extensions, pruning, HTs),
>unfortunately things get a bit more complicated - as others have mentioned. To
>me, it is not clear what is best to do, when you get a score > alpha and < beta
>in the first call (the zero window search), and receive a score <= result of the
>first call in the research (something that will never happen with a "pure"
>alpha-beta search).
>
>Jose Carlos thinks, it is better to trust the research (actually I am currently
>doing this). But why should the research be more trustful than the original
>search?

It isn't IMO, except for maybe the reason that the hash tables are more reliable
the second time...
PEter

>Regards,
>Dieter



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