1. (a) Sketch the construction tree of the following propositional formula o -((¬r V (r ^ ¬p)) + (¬¬¬q → r)). Give its complexity c(4) and list all of its subformulas (without repetition). How many distinct subformulas are there? (b) Use structural induction on the complexity of formula y to show that the number of occurrences of the symbol A in p is less than or equal to the number of left brackets in y.

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A: That's easy. Have a good day.

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