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Problem 3 Remove redundant pairs of parentheses from the following expressions. a) (X)((Y )(NOT(p(X) OR (p(Y ) AND q(X))))) b) (X)((NOTp(X)) AND ((Y )(p(Y ))

Problem 3

Remove redundant pairs of parentheses from the following expressions.

a) (X)((Y )(NOT(p(X) OR (p(Y ) AND q(X)))))

b) (X)((NOTp(X)) AND ((Y )(p(Y )) OR (X)(q(X, Z))))

Problem 4

Draw expression trees for the expressions of Problem 3. Indicate for each occurrence of a variable to which quantifier, if any, it is bound.

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