Question: 2. Consider the following program specification and implementation for determin- ing m! for a positive integer m: rec factorial(m), where me Z+ (1) if m=

2. Consider the following program specification and implementation for determin- ing

2. Consider the following program specification and implementation for determin- ing m! for a positive integer m: rec factorial(m), where me Z+ (1) if m= 1 return 1 (2) else return mrec factorial(m 1) {output is m!} Prove the correctness of rec factorial by arguing (i) partial correctness and (ii) termination

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