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Write some program c in IMP and prove a (non-trivial) property {A}c{B} of the program by using the Hoare logic of IMP. The program must

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Write some program c in IMP and prove a (non-trivial) property {A}c{B} of the program by using the Hoare logic of IMP. The program must have at least one while-loop. The syntax and the proof rules of IMP are shown in Figures 2 and 3 , respectively

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