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Consider a language of logical expressions. (a) A logical expression is either a quantified expression or a boolean expression or a variable expression or a

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Consider a language of logical expressions. (a) A logical expression is either a quantified expression or a boolean expression or a variable expression or a propositional constant (b) A variable expression is either x or y z. (c) A propositional constant is either true or false. (d) If A is a logical expression then upsilon. A and Forall upsilon.A are quantified expressions such that upsilon {x, y, z} (c) If A is a logical expression and B is a logical expression then A, A Lambda B and A rightarrow B are boolean expressions The language has the following operator precedence order (in descending order of precedence): (a) (b) Lambda (c) rightarrow The language also has operator associatively: Lambda is left-associative and rightarrow is right-associative. Write unambiguous production rules for the grammar that generates the strings in the above language

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