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1 . Consider properties A and B . If A and B are Safety properties, are the intersection and the union of A and B

1. Consider properties A and B. If A and B are Safety properties, are the intersection and the union of A and B also Safety properties? Prove your answers!
2. Consider properties A and B. If A and B are Liveness properties, are the intersection and the union of A and B also Liveness properties? Prove your answers!
3. Consider properties A and B. If A and B are Authorization properties, are the intersection and the union of A and B also Safety properties? Prove your answers!
4. Consider properties A and B. If A and B are Availability properties, are the intersection and the union of A and B also Availability properties? Prove your answers!
Hi, this is about hyper properties. If you could provide an explanation, that would really help! Thank you.

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