ANSWER :
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3. Using the grammar below, show a parse tree and a leftmost derivation for the statement. A = ( A + (B)) * C assign <idxpr expr>? <expr> <term> term <term factor factor (<expr>) l <term I <factor l <id> 4. Prove that the following grammar is ambiguous (Give sentence that has two parse trees, and show the parse trees):
- Using the grammar in Example 3.2, show a parse tree and a leftmost derivation for the following statement: B = C * (A * (B + C)). EXAMPLE 3.2 A Grammar for Simple Assignment Statements <assign> → <id> = <expr> <id> → A | B | C <expr> → <id> + <expr> | <id> * <expr> | ( <expr> ) | <id>
Question Set 2 1. Given the following grammar dactor>-> ( <expr> ) a) What is the associativity of each of the operators? What is precedence of the operators? Show a leftmost derivation and parse tree for the following sentence: b) c) A-A(B(C A)) d) Rewrite the BNF grammar above to give precedence over and force to be right associative.
Question Set 2 1. Given the following grammar dactor>-> ( <expr> ) a) What is the associativity of each of the operators? What is precedence of the operators? Show a leftmost derivation and parse tree for the following sentence: b) c) A-A(B(C A)) d) Rewrite the BNF grammar above to give precedence over and force to be right associative.
6. (8 pts) Using grammar below show a Parse tree and leftmost derivation for a). A = A * (B+C) <assign> à<id> = <expr> <id> à A | B|C <expr>à <expr> + <term> | <term> <term> à <term> * <factor> |<factor> <factor> à ( <expr> ) |<id>
Question 3: Given the following grammar: assign → id := expr expr → expr + term \ term term -term *factor lfactor factor-(expr) id Using the above grammar, show a leftmost derivation (first five steps) for the following assignment statement: A ((A B)+ C) a. [3 marks] b. Using the above grammar, show a rightmost derivation (first five steps) for the following assignment statement: A:-A+B+C)+A [3 marks] Draw the abstract syntax tree for each of the above statements [4 marks]...
Using the grammar below: <program> → begin <stmt_list> end <stmt_list> <stmt> | <stmt>; <stmt_list> <stmt> <var> = <expression> <var> → ABC <expression> <var> + <var> | <var> - <var> | <var> 1) show a leftmost derivation and draw a parse tree for each of the statements below: (1) begin A=A-B; B=C; C=A end (2) begin A=B+C; C=C+B end 2) try a rightmost derivation and draw a parse tree for each of the statements in Q1).
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For both of the following languages, provide a grammar that generates it, an intuitive explanation why this grammar generates this language, and a graphical representation of a push-down automaton that recognizes this language. (a) The language of properly nested sets of parentheses over the alphabet G)). Note that the string (COO))) belongs to this language, while the string (O) () does not because the third closing parenthesis does not have a matching opening parenthesis. Provide a...
The questions in this section are based on the grammar given as the following: prog -> assign | expr assign -> id = expr expr -> expr + term | expr - term | term term -> factor | factor * term factor -> ( expr ) | id | num id -> A | B | C num -> 0 | 1 | 2 | 3 (2a) What is the associativity of the * operator? (5 points) (2b) What...
1.) Consider the following grammar in which S, A, and B are nonterminal symbols and S is the start symbol. S → 1A | 0B A → A0 | 1B B → 10A| 1 Show that the grammar is ambiguous by showing two parse trees for the sentence 1110110 using leftmost derivation.