 Hans @-@ Joachim <unk> , a professor of mathematics and <unk> at the University of California at Berkeley , further argued in a 1965 paper that the " speed , memory , and processing capacity of any possible future computer equipment are limited by certain physical barriers : the light barrier , the quantum barrier , and the <unk> barrier . These limitations imply , for example , that no computer , however constructed , will ever be able to examine the entire tree of possible move sequences of the game of chess . " Nonetheless , <unk> did not <unk> the possibility that a computer would someday be able to solve chess . He wrote , " In order to have a computer play a perfect or nearly perfect game [ of chess ] it will be necessary either to analyze the game completely ... or to analyze the game in an approximate way and combine this with a limited amount of tree searching . ... A theoretical understanding of such <unk> programming , however , is still very much wanting . " 
