DISCRETE MATH - Propositional Logic
Write the following English sentences in symbolic form. Let p, q, r be the propositions.
1. If it rains, then I will stay at home.
2. If I go to Australia, then I will earn more money.
3. He is poor but honest.
4. If a = b and b = c, then a = c.
5. It is neither hot nor cold today.
6. He goes to play a match if and only if it does not rain.
7. Birds fly if and only if the sky is clear.
8. I will go only if he stays.
9. I will go if he stays.
10. It is false that he is poor but not honest.
11. It is false that he is poor or clever but not honest.
12. It is hot or else it is both cold and cloudy.
13. I will not go to class unless you come.
14. We will leave whenever he comes.
15. Either today is Sunday or Monday.
16. You will qualify GATE only if you work hard.
17. The presence of a cycle in a single instance RAG is a necessary and sufficient condition for deadlock.
18. The presence of a cycle in a multi-instance RAG is a necessary but not sufficient condition for deadlock.
19. I will dance only if you sing.
20. Neither the red nor the green is available in size 5.
