Consider the context-free grammar with the rules (E is start variable) E → E + T | T T → T × F | F F → ( E ) | a
Convert CFG to an equivalent PDA using the procedure given in Theorem 2.20.
Consider the context-free grammar with the rules (E is start variable) E → E + T...
Consider the following context-free grammar: E + E +T|T T + TxFF F + (E) | a How many production rules does this grammar have?
(15p) Consider the Context-free grammar G defined by:\(\mathrm{S} \rightarrow a S|b T b S| \varepsilon\)\(\mathrm{T} \rightarrow a T \mid \varepsilon\)a) Describe \(\mathrm{L}(\mathrm{G})\). (5p)b) Convert G into a Pushdown Automaton (PDA). (10p)
Given the following ambiguous context free grammar (3x20) 1. (a) Explain why the grammar is ambiguous (b) Find an equivalent unambiguous context-free grammar. (c) Give the unique leftmost derivation and derivation tree for the string s generated from the unambiguous grammar above. 2. Construct non-deterministic pushdown automata to accept the following language (20) 3. Convert the following CFG into an cquivalent CFG in Chomsky Normal Form (CNF) (20)-
Consider the following context free grammar. Write an attribute grammar that specifies the calculation rules, i.e. how the value of E or T is calculated. There is no need to perform type checking. We assume all types are matched correctly. Please clearly specify the type of attribute(s) you introduce, i.e. synthesized, inherited, or intrinsic. E ::= E + T | T T ::= T * F | F F ::= NUM NUM ::= 1 | 2 | 3 | 4...
The following context-free grammar (CFG) generates palindromes. This CFG has the following rules: S → ε, S → a, S → b, ..., S → z, S → aSa, S → bSb, ..., S → zSz. On an example of a palindrome cattac, show, step-by-step, how this palindrome will be generated by this grammar.
formal language automata 1. (15p) Consider the Context-free grammar G defined by: S → 0A1A1A1A A0A1A a) Describe L(G). (5p) b) Convert G into a Pushdown Automaton (PDA). (10p)
Consider the following context-free grammar with terminals {a, b, c, d} and start symbol S. S → W | X | Y | Z W → AW D | X | Y | Z X → BXD | Z Y → AY C | Z Z → BZC | ε A → a B → b C → c D → d (a) Give a derivation tree with input string: aaaabccddd (b) What language does this CFG recognize? Give a...
Consider the context-free grammar G = (V, T, S, P) where V = {S}, T = {0, 1, 2, +, *} and with productions S -> S + S | S * S | 0 | 1 | 2 a) Show that the grammar is ambiguous b) Give an equivalent unambiguous grammar.
Problem 2. Consider the following CFG G-(V. Σ' R, S) where V-(S, U, W), Σ- {a, b), the start variable is S, and the rules R are: Convert G to an equivalent PDA using the construction described in Lemma 2.21
10 pt) Consider the following grammar where S is the start variable » terminals: x, y, z,t,,* non-terminals: El T, F, V * start symbol: E production rules (a) (4 pt) What is the associativity of the operators+,, * and/ explain why. (b) (3 pt) What is the precedence of , and / explain why (c) (3 pt) Given a parse tree F * T 2 2 Explain how the value of the string is generated