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The elimination of induction variables and the parallelization of reductions in FORTRAN programs have been shown to be integral to performance improvement on parallel computers 7, 8]. As part of the Polaris project 5], compiler passes that recognize these idioms have been implemented a n d e v aluated. Developing these techniques to the point necessary to achieve signi cant speedups on real applications has prompted solutions to problems that have not been addressed in previous reports on idiomdoi:10.1145/224538.224655 dblp:conf/ics/PottengerE95 fatcat:2lzu7ubinbbwjfj7mfkzgzwd3e