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Issue No. 08 - August (1985 vol. 11)
ISSN: 0098-5589
pp: 758-773
A. Gabrielian , Command and Control Systems Division, Ground Systems Group, Hughes Aircraft Company
The notion of a qualified function is introduced as a general means of representing the parameters of dynamic systems. Two specific types of qualified functions are defined for the analysis of the behavior and performance of structured programs. Transformation functions represent the values of variables during execution and timing algorithms express the execution times of programs symbolically. Complete rules of derivation for transformation functions and timing algorithms are given for the control mechanisms of sequence, selection, fixed loop, and while statement. Deterministic and stochastic simplification of transformation functions and timing algorithms are investigated and methods of eliminating recursion for expressions corresponding to while statements are studied.
timing algorithm, Difference equations, performance evaluation, program execution times, qualified function, symbolic evaluation, symbolic execution, system modeling

A. Gabrielian, L. McNamee and D. Trawick, "The Qualified Function Approach to Analysis of Program Behavior and Performance," in IEEE Transactions on Software Engineering, vol. 11, no. , pp. 758-773, 1985.
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