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In this paper we will take a detailed look at a larger example of program analysis by transformation. We willbe considering Algorithm 2.3.3.A from Knuth's "Fundamental Algorithms" Knuth (1968) (P.357) which is analgorithm for the addition of polynomials represented using four-directional links. Knuth (1974) describes thisas having "a complicated structure with excessively unrestrained goto statements" and goes on to say "I hopesomeday to see the algorithm cleaned up without loss of its...

Reverse Engineering through Formal Transformation: Knuth's 'Polynomial Addition' Algorithm