By Lee Naish
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Extra resources for Logic programming : proceedings of the Fourteenth International Conference on Logic Programming
W hich does not involve any risk for a liasi n g. There are, however, some programs th at would be amen a bl e to the transforma the ar r ay of Ai would be allowed to be passed down as an argument in a procedure call in Bi. For example, a straightforward i mplementati on of Dijkstra's shortest paths algorithm ( the dijkstra program in Sec. 5) cont ains a nested loop in which one array is updated in the inner loop and an other in th e ou ter loop . The array updated in the outer loop is used in the inner loop and th ere for e must tion on ly if be passed as an arg ument in the call to the inner loop.
The resulting progr am will be no worse in performance than the o r iginal program w ithout destructive updates if at least one update takes pl ace , and will be definitely better than the ori gi nal program if more than one u pdate t akes plac e (which is what we expec t ). There are, of course, various subtleties that have to be addressed in order to rea liz e this idea in practice, and these are discussed in the re m ainde r of th is paper. First, however, we illustrate the a pp r oach with a sim pl e example.
8It is . reasonable to assumeGgRYJli� �M�' can be ignored. 39 OR [ OR OR /"-.... 1 /"-.... [ (�:b T /"-.... /"-.... [J OR T [ J? (a) typegraph for list(T) OR T /"-.... [J T T /"-.... OR [) (b) one level unfolded /"-.... T (c) infinite unfolding Figure q(X1' ... ,Xn), 2: Typegraphs. this is given by the local backward use at nal program point of the jth Pi,I+l, the fi However, some of the clause vari clause. 9':+1>' . ,9k, °1, 9k+l, ... ,9m may not partici they contribute to the local backward use, then they 10 This can be formu are in forward use at Pi and instantiated at Pi+l.