6CCS3VER - Build a Model M1 for a Counter Modulo - IT Assignment Help

Assignment Task

The stages of the project are as follows:
1. Build a model M1 for a counter modulo 4 with binary variables in GCLang. Use as few variables as possible. The initial state should correspond to 0.
2. Write an initial set of CTL properties to check correctness of your model.
Argue that the set represents the intuitive specification of what we can expect from the counter. For each property, indicate whether it is a safety property or a liveness property and explain why.
3. Change your model so that it has two initial states: a state corresponding to 0 and a state corresponding to 1. The resulting model is M2.
4. Write a set of properties that demonstrates that M2 indeed has two initial states. For each property, indicate whether it is a safety property or a liveness property and explain why.
5. Do any of the properties you wrote in question 2 pass vacuously in M1?
Answer for each property: [20 marks]
a. If a property passes vacuously, show that there is a strengthened version that also passes in M1.
b. If a property passes but not vacuously, show an interesting witness trace in M1.
6. Extend M1 to a counter modulo 6. Use as few variables as possible. 

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