Question: a . Given the following Grammar: [ E - > T E ^ ' ; E ^ ' - > + T E ^ '

a. Given the following Grammar:
[ E -> T E^'; E^'->+T E^'|\lambda ; T -> F^'; T^'-> F^'|\lambda ; F ->(E)| i d ]
Construct top down parsing and bottom up parsing to construct a parse tree for the input string: id*id*id b. Explain the main functions of syntax analysis. c. Define context free grammar and regular grammar. d. Discuss the applications of context free grammar.

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