Final answer:
The procedure checks if the number is a positive integer. None of the given options perfectly describe the procedure as they miss the positivity aspect, but Option 1 is the closest match.
Step-by-step explanation:
The procedure in question examines whether a number is both greater than zero and an integer. Utilizing the procedure CHECK (number), it returns true if the number is a positive integer and false otherwise. Considering the actions carried out by this procedure, the most fitting name would be IS_POSITIVE_INTEGER (number). This is because Option 1 (IS_INTEGER) does not specify the positivity aspect, and Options 2 and 3 (CHECK_INTEGER, VALIDATE_INTEGER) could imply broader validations without the positivity constraint. Option 4 (VERIFY_INTEGER) is closer but also lacks the positivity description. However, none of the given options perfectly describe the procedure, which should ideally indicate both integer and positive conditions.