Consider the Grammar, G, with the production rule: S-> aS | bS | ε Which of the following is generated by G? Options : {a n b m | m,n >=0} {w ∈ {a, b}*, w has equal number of a’s and b’s} {a, b}* {an |n >=0} ∪ {bn |n >=0} ∪ {anbn |n >=0}
Question
Consider the Grammar, G, with the production rule: S-> aS | bS | ε
Which of the following is generated by G?
Options : {a n b m | m,n >=0} {w ∈ {a, b}, w has equal number of a’s and b’s} {a, b} {an |n >=0} ∪ {bn |n >=0} ∪ {anbn |n >=0}
Solution
The grammar G generates the language {a, b}*. This is because the production rules of the grammar allow for any number of 'a' or 'b' to be produced, including the empty string ε.
Here's why:
-
{a n b m | m,n >=0}: This language is not generated by G because the grammar does not enforce any specific order of 'a' and 'b'. In the grammar, 'a' and 'b' can appear in any order.
-
{w ∈ {a, b}*, w has equal number of a’s and b’s}: This language is not generated by G because the grammar does not enforce an equal number of 'a' and 'b'.
-
{a, b}* : This language is generated by G. The grammar allows for any number of 'a' or 'b' to be produced, in any order, including the empty string ε.
-
{an |n >=0} ∪ {bn |n >=0} ∪ {anbn |n >=0}: This language is not generated by G because the grammar does not enforce any specific order of 'a' and 'b'. In the grammar, 'a' and 'b' can appear in any order.
Similar Questions
Given the context-sensitive grammar production rule: S → aBC, where B → b and C → c, what language does this grammar generate?1 point{a^n b^n c^n | n ≥ 0}{a^n b^n | n ≥ 0}{abc}{a, b, c}
Q: 08 of 15Choose the right set of terminals from the given production rules of grammar as:S->(S) | aA | epsilonA-> A+B | aB-> B *C | bC -> cOptions :T= ( ,a,b,),+,*T= ( ,a,b,),+,*,cT= a,b,cNone of the above mentioned
Consider the Grammar as follows S → aSAb | bSBc A → +AB | εB → *BC | εC → aC | d What is in FOLLOW(S) {b, c, +, *, $}{a, c, +, *, $}{a, b, d, *, $}{a, b, c, +, $}
Consider the following grammar G G: S → EF E → a|∈F → abF|ac Which of the following is true about the grammar G?1. G is a LL(1) grammar2. G is a regular Grammar 1 only2 only1 and 2 bothNone of these
Which regular grammar generates the language consisting of strings with zero or more occurrences of "a" followed by "b"? Options : S -> ab | aS | ε S -> a | b | aS S -> ab | aS none
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.