Mathematical logic

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Across
  1. 3. Determine whether it is true or false(T∧F)∨¬(T∨F)?
  2. 4. R={(1,y);(1,z);(3,y)} Range (y,z) --> ?(1,3)
  3. 6. denoyted by A∪B
  4. 9. p∨~p is always true. It is ...
  5. 10. "A ∪ ∅ = A" Which law of algebra of sets is it?
  6. 11. What is the opposite of disconjunction?
  7. 13. (a,b),(b,c),(a,c) What is this?
  8. 14. A compound proposition that is always false. What is called?
  9. 15. "The dual of ∧ is ∨"
Down
  1. 1. If the variables are only 0 and 1, we call ...
  2. 2. Today is Sunday. Then I say that today is not Sunday. What is this? Inverse or negation?
  3. 5. How is a set that has no elements called a set?
  4. 7. R={(2,1);(3,1);(2,4)} X={(1,2);(1,3);(4,2).What is the set X according to R?
  5. 8. x↔️y What is this sign?
  6. 12. Determine whether these statement is true or false? If 1+1=2, then London is the capital of England.