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Use the textbook "Formal Methods An Appetizer by Flemming Nielson and Hanne Riis Nielson" to answer all the questions I will be posting (questions 1 to 11). Please, use the "Program Graphs" in Chapter 2 (Section 2.2) and "Security Analysis" in Chapter 5 (Section 5.3). You must construct the "Program Graphs" for each question as described in the textbook. There is a free pdf copy of the textbook on the internet. Now, answer question (1): Provide Program Graph & Stepwise Execution for the following question (Please DO NOT use ChatGPT/GPT-4 to answer the program graph. The graphs GPT-4 produces don't look like those in the textbook. I will be graded poorly if you use GPT-4 for the graphs): NOTE: For this question, refer to Chapter 5 (Section 5.3 of the textbook) for clarity. (9) Complete the security analysis for questions 1 – 7 (This material is in chapter 5 of the Nielson Book)

Answer:

The factorial function calculates the factorial of a given number. The program you provided can be written in pseudocode as follows:

To construct the program graph, we represent each statement as a node and use edges to represent the control flow between the statements.

Here is the program graph for the factorial function: