Given the following grammar with start symbol :
?: ? → b? | a?
? → a? | ε
a) Give two strings derived from this grammar and their corresponding derivations. (Please mention the derivation as well).
bba and aaaa are two strings that can be derived with this grammar 1) bba Derivation: ------------- S -> bS -> bbS -> bbaX -> bbaε -> bba 2) aaaa Derivation: ------------- S -> aX -> aaX -> aaaX -> aaaaX -> aaaaε -> aaaa
Given the following grammar with start symbol : ?: ? → b? | a? ? →...
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...
(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" }
Theory of Computation need ASAP 2-3 hours 1. For the following grammar: a) Give an example of a string accepted by the grammar. b) Give an example of a string not accepted by the grammar. c) Describe the language produced by the grammar. 2. Using the following grammar find a derivation for the string: 0001112 A0A1le C 0C2 | D Create a grammar for the language described by the following RE: Create a grammar for the following language: For the...
Consider the following grammar (S, A, B, and C are nonterminal symbols; S is the start symbol; 0 and 1 are terminal symbols): S → AA A → BCB B → B0 | B1 | 0 | 1 C → 00 | 11 Which of the following sentences are in the language generated by the grammar? Show derivations for the sentences that can be generated. If a sentence cannot be generated by the grammar, explain why. a) 10010001 b) 01101101...
Consider the following grammar: (//some alternative rules are listed on separate lines without using symbol |): stmt −> assignment −> subr call assignment −> id := expr subr call −> id ( arg list ) expr −> primary expr tail expr tail −> op expr −> ε primary −> id −> subr call −> ( expr ) op −> + | - | * | / arg list −> expr args tail args tail −> , arg list −> ε...
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.
1. (15 pts) Consider the following BNF grammar: For each of the strings below, indicate whether or not the string can be derived from the grammar. ?f so, provide a derivation. (a) (5 pts) aabccd (b) (5 pts) accbcc (c) (5 pts) acccce
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)-
4. Show that the pda constructed in Example 7.6 accepts the strings aabb and aaabbbb, and that both strings are in the language generated by the given grammar. EXAMPLE 7.6 Construct a pda that accepts the language generated by a grammar with productions We first transform the grammar into Greibach normal form, changing the productions to A bB, The corresponding automaton will have three states (go, 91,92), with initial state go and final state q2. First, the start symbol S...
1. Given grammar: E -> E*E | E + E | num and input string num + num *num. 1a.Write 2 possible leftmost derivations from E to the input string. 1b.Draw parse tree for the two leftmost derivation that you wrote above.