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The main objective of this work is the study and implementation of Predictor-Corrector procedures based on the Adams methods for Initial Value Problems. These methods are used with variable order and variable step size. Properties of convergence and stability concerning two different ways of changing the step size, namely: the variable step and interpolation techniques, are discussed. The computer implementation of these techniques through STEP/DE and GEAR codes is analysed,. Numerical examples results with comments which illustrate the behavior of the mentioned codes are presented,