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hi so today Iamp;#39;m going to talk about data structures and various approaches to making them robust and well I think what I really like to say as production worthy why how do you make sure that you did success production where we went implementing it and before I get to that I just like to introduce some terms so what are big detectors well data structures are concrete realizations of abstract data types now abstract data types are basically collections of operations that let you construct and interact with instances of those apps of those abstract data types and axioms that describe the relationships between the various operations so for example for set you could write down axiom like this one which says that for any set s it is the case that for any X for any Y the set obtained by con joining X onto s contains Y if and only if and only if s already contains Y or Y is equal to X and so any interesting ADT youamp;#39;d expected to write a number of these to capture adequacy or wh