m = Maia likes comedy movies p = There is a comedy movie playing in the theater

Question

m = Maia likes comedy movies

p = There is a comedy movie playing in the theater

s = Jane wants to see Maia

g = Jane will go to the theater

Write each of the following as propositions using the four variables

m, p, s, and g.

If there is a comedy movie playing in the theater and Maia likes

comedy movies, Jane will not go to the theater.

Jane will go to the theater if and only if Jane wants to see Maia.

Jane will go the theater or there is not a comedy movie playing in

the theater. Moreover, Maia does not like comedy movies.

Explanation / Answer

If there is a comedy movie playing in the theater and Maia likes comedy movies, Jane will not go to the theater.
= p and m gives raise to (not g)
= (p m) -> ~g

Jane will go to the theater if and only if Jane wants to see Maia.
= g if and only if s
= g <-> s

Jane will go the theater or there is not a comedy movie playing in the theater.
= g or not p
= g v ~p

Moreover, Maia does not like comedy movies.
= not m
= ~m

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