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The purpose of this introductory chapteris to provide the basicconcepts behind Constraint Programming (CP) and IntegerProgramming (IP). These two fields covera variety of aspects and havebeen widely studied. Therefore, here wedo not intendto give a deep insightof the fields, but to provide the definitions and concepts forunderstanding therestof thisbook. WeexplainCPandIP modelling aspects and solving strategies. Wegroundour discussion on an example: the car sequencing problem. The chapterprovides references to relevant biography which can be referred to for a deeperunderstanding.