Induction variables are of particular interest in optimizing compilers [ASU86]; a subclass of them that form arithmetic progressions has a vital role in parallelizing compilers [AK87, KKLW80, Wol78]. Induction variables are usually introduced to improve program performance on sequential computers. To illustrate this, we consider the loop of Figure 4.1.


Dependence Analysis Induction Expression Induction Variable Loop Bound Symbolic Analyzer 
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© Kluwer Academic Publishers 1995

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