Exercise 2.8 - Answers

1

The following are all possible:

            [[J®M]Ù[PÚS]]

            [[[J®M]ÙP]ÚS]

            [[[JÙP]®M]ÚS]

            [[[JÙP]ÚS]®M]

            [[JÙ[PÚS]]®M]

If you think that the "or" might be exclusive, that would produce another five possibilities.

2

The scopes are as follows:

            First occurrence of ¬: ¬[[P«[QÚ¬¬R]]®[QÙS]]

            Second occurrence of ¬: ¬¬R

            Third occurrence of ¬: ¬R

            The occurrence of «: [P«[QÚ¬¬R]]

            The occurrence of Ú: [QÚ¬¬R]

            The occurrence of  ®: [[P«[QÚ¬¬R]]®[QÙS]]

            The occurrence of Ù: [QÙS].

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