S → aSa|bSb|a|b|aa|bb
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Convert the following grammar into Chomsky Normal Form
(CNF):
S → aS | A
| bS
A → aA |
bBa | aAa
B → bb |
bBb
Note: you need to first simplify the grammar ( remove any
λ -
productions, unit productions, and useless productions), and then
convert the simplified grammar to CNF.
Convert the following grammar into Chomsky Normal Form (CNF): SaSAS A → AbBa| aAa B+bb | bBb Note: you need to first simplify the grammar...
Convert the context free grammar to an equivalent grammar in Chomsky normal form: (show your work) S → AxAyA | BC A → BB | a B → bd | ε C → SC | c
Convert the following grammar to Greibach normal form) S-> aA A-> a A-> B B-> A B-> bb
Solve the following questions. All questions are mandatory. Q1: What’s wrong in the following grammar? S → ABC A → aA|aa B → bB|B C → cC|cccc Q2: Describe the strings generated by the following grammar S → aSa S → bSb S → aa S → bb Q3: Consider the following grammar: S → ABC A → aA|a B → bB|b C → cC|c Change the above grammar such that it generates L1={anbmck; n>=3,m>=3,k>=4} Q4: Use the following grammar...
Find a derivation tree in
Example 5.1 ({S}, {a, b}, S, P), with productions The grammar G - aSa, bSb S is context-free. A typical derivation in this grammar is S aSa aa Saa aabSbaa aabbaa This, and similar derivations, make it clear that {a, b}'} L (G) wwR
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.
1)Convert the following context free grammar to Chomsky Normal Form S → a X | Yb X → S | λ Y → b Y | λ 2)Some languages distinguish between uppercase and lowercase in identifiers. What are the pros and cons of this design decision? 3)Use the pumping lemma to prove that the following languages are not regular. (The alphabet is Σ = {a, b}.) a) L = {an b1 ak: k >= n+ l} b) L = {ww:...
2. To find a Chomsky normal form for the following grammar (10 points) STR T - aTbab R RIA first note that we don't need to add a new production S' Sto the grammar because s does not appear on the right hand side of any productions in the grammar. Next, since we have a A-production in the grammar R - A, so we use the technique in question #6 to remove the production. Afterward the grammar becomes SLT TR...
Convert the following context free grammar G to Chomsky normal form. G:S → AB A → aAb|B2 B → BA2
In each of the following, find a Chomsky Normal Form (CNF) grammar equivalent to the given context-free grammar (CFG). 1. SaA Sab A+ ab | BA ASD BaS b 2. SAIC A → AaB AaC | B | a B Bb Cb (→ cclc 3. S → SabA; AAA bc | Bc; B → Aab | BS a