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Graph intervals” was a term that John had come up with, but then I wrote the paper and carried the idea further. Then Mike Harrison came, and we were struggling with the problem that we had no way of bounding the computation of the flow of information in such a graph. In some of your papers, you talked about earlier monotonic relaxation techniques, but they had very large theoretical bounds. Yes, but I wasn’t much concerned, because I knew that real programs don’t have those, and Mike agreed. Jeff Ullman did some analysis on programs.

March 2004, p. 25). Compared to automobiles, though, software product technology is relatively new, and the design and engineering processes are highly complex, especially for large systems with many interdependent components. But to what can we attribute so many quality problems in an industry as mature as automobiles and in a company so renowned for quality and manufacturing? Moreover, when even the mighty Toyota can falter, what does it say about “staying power”—the ability of a firm to sustain a competitive advantage and keep renewing or expanding its capabilities?

The intersections and unions of the sets were just PL/I & and | operators, which makes the code concise and easy to read. You have said that PL/I was a complicated language to compile, but it seems to have expressive power. Yes, it was really very useful for writing optimizers and compilers. The data flow work came from early FORTRAN and their use of control flow graphs. On Project Y we built control flow graphs and developed a language about the articulation points on the graph, abstracting away from DO loops into something more general, then optimizing based on a hierarchy of these graphs, making the assumption that they represented parts of the program that were most frequently executed.

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Communications of ACM , 2011 , Jan by CACM

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