Linear Programming

Download PDF by M. Clarke: Advances in Computer Chess

By M. Clarke

ISBN-10: 0080268986

ISBN-13: 9780080268989

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All this information is stored in a LIFO stack in the form of an 80 bit word. The stack is made from 256 x 4 bit random access memories, so that there is sufficient storage to permit the analysis to go 256 ply deep. Obviously this does not happen in practice. Conclusion The hardware has been built from 500 TTL logic integrated circuits in which about 100,000 nodes per second are generated. ACKNOWLEDGEMENTS The author would like to thank Professor D. Michie, Dr I. Bratko and Mr T. Niblett, for their helpful suggestions and comments.

A Machine for an Improved Search Algorithm 31 In case (i) the search backs up from P with value true. In case (ii) the search backs up from P with value false. In case (iii) the search continues from P. 1, where the integers at terminal nodes lie in the range [1,8]. P0(l,4) P3(l) P4(7) P5(4) P6(8) Fig. 1 If the goal - 4 on the first search, then the first node examined is P3, which returns the BV 1 to PI and causes P4 to be cutoff. We now know that the minimax value of P2 must be less than or equal to 1.

We now know that the minimax value of P2 must be less than or equal to 1. Thus BVH at PI is 1. Since 1 is the smallest value in the range, BVL = 1 at PI. We therefore store the pair [1,1] at P1. After P5 has been visited [1,4] is stored at P2, and then [1,4] is stored at PO. The search has failed so the next goal value is 2. As soon as P1 is entered, a check is made to see which of the above three conditions the value g satisfies. It is found that case (ii) holds, so that instead of revisiting P3 the search backs up from P1 to PO.

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Advances in Computer Chess by M. Clarke


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