Given the grammar defined in Figure below, give all the parse trees of a0 + a1 + b.
E
/ | \
/ | \
E + E (rule 2)
/ | / | \
/ | E + E (rule 2)
| I | I (rule 1)
I | / | \ (rule 1)
/ | I1 | I (rule 10)
I0 | | | \ (rule 9)
| | | | b (rule 6)
a0 + a1 + b
(rule 5)
Given the grammar defined in Figure below, give all the parse trees of a0 + a1...
(a0Give the derivations and parse trees for the following strings using the grammar given below: • abba • babab (b) Give the derivations and parse trees for the following strings using the grammar given below: • a cat napped • a cat barked P={ <sentence> → <article><noun><verb> <article> → "a" <article> → "the" <noun → "dog" <noun> → "cat" <verb> → "barked" <verb> → "napped" }
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):
For the grammar and each of the strings, give the parse tree. Exercise 5.1.2: The following grammar generates the language of regulair expression 0'1(0 1): SA1B * а) 00101. Ь) 1001. с) 00011.
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.
Use the grammar given below and show a parse tree and a leftmost derivation for each of the following statements. 1. A = A * (B + (C * A)) 2. B = C * (A * C + B) 3. A = A * (B + (C)) <assign> → <id> <expr> = <expr> → <id> + <expr> kid<expr> <expr>) ids
2A. Check if the given Grammar G is LL (1) by constructing a predictive parse table Clearly specify the different steps involved during the construction of parse table. A BCg DBCe B BDb E C DCf & D ale Grammar G 4M 2A. Check if the given Grammar G is LL (1) by constructing a predictive parse table Clearly specify the different steps involved during the construction of parse table. A BCg DBCe B BDb E C DCf & D...
Consider the sequence {an} defined recursively as: a0 = a1 = a2 = 1, an = an−1+an−2+an−3 for any integer n ≥ 3. (a) Find the values of a3, a4, a5, a6. (b) Use strong induction to prove an ≤ 3n−2 for any integer n ≥ 3. Clearly indicate what is the base step and inductive step, and indicate what is the inductive hypothesis in your proof.
Assuming binding priority (¬, ∧, ∨, →), what are all the possible parse trees for each formula? Draw the trees for each formula. (p → r) ∨ (q → r) → (p ∧ q) → r (p → r) ∧ (q → ¬r) ∧ (q → ¬p)
3. Given the following grammar and the right sentential forms, draw a parse tree and show the phrases and simple phrases, as well as the handle. <S> <A> <B> →. a <A> b b <B> <A> → a b a <A> <B> → a <B> b (a) a a <A> a bb (b) b <B> a <A> b
(20 pts) Create an LR(O) parse table for the following grammar. Show all steps (creating closures, the DFA, the transition table, and finally the parse table): E->E+T E*T T T->(E) | id Show a complete bottom-up parse, including the parse stack contents, input string, and action for the string below using the parse table you created (id + id) * id Show a rightmost derivation for the string above, and show how the bottom-up parse you completed correctly finds all...