Eliminate all useless rules from the following CFG:
S → abS | abA | abB
A→ cd
B→ aB
C → dc
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we can't reach C from S so remove that
B doesn 't end anywhere so remove that
so the final answer is
S -> abS | abA
A -> cd
Eliminate all useless rules from the following CFG: S → abS | abA | abB A→...
For the following grammar (7 points) 1. B - Ba|A S - ABb A - Aba |A to find a grammar without A productions that generates the same language, we first identify non-terminals that drive A. These non-terminals are: A and B. Then from S - ABb, we construct S from A - Aba, we construct A - from B - Ba, we construct B - So, the grammar without A that generates the same language is:
Remove all lambda-productions, unit-productions, and useless productions from the following grammar.S -> AB | BC | aAbA -> Aa | D | lambdaB -> aSC | bB | lambdaC -> aC | bBCD -> abS | ab
Consider the following CFG S ? aB S ? bA B ? b A ? a B ? bS A ? aS B ? aBB A ? bAA Consider the following derivation S ? aB ? aaBB ? aaBb ? aabSb ? aabbAb ? aabbab This derivation is a. a leftmost derivation b. a rightmost derivation c. both leftmost and rightmost derivation d. neither leftmost nor rightmost derivation
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.
please answer 17c and 17d.
17. Show that the following Post correspondence systems have no solutions. a) [b, ba], [aa, b], [bab, aa], [ab, ba] b) [ab, a]. [ba, bab], [b, aa], [ba, ab] c)lab, aba] lbaa, aa]. [aba. baal (dy [ab, bb], [aa, ba]. [ab, abb]. [bb, bab] e) [abb, ab], [aba, ba], [aab, abab]
17. Show that the following Post correspondence systems have no solutions. a) [b, ba], [aa, b], [bab, aa], [ab, ba] b) [ab, a]. [ba,...
help
3. Answer each part for the following CFG G (The * symbom in the derivation means with any number of steps): R + XRXS S + aTb | b Ta T→ XTX | x | 6 X + ab (a) What are the variables of G? (b) What are the terminals of G? (c) Which is the start variable of G? (d) Give three strings in L(G) (e) Give three strings not in L(G) (f) True or False: T...
Please answer a-f
Answer all the following questions. (a) Find a CFG for the language defined by a' (b) Find a CFG for the language defined by b (c) Find a CFG for the language defined by a'b. (d) Find a CFG for the language defined by ab. (e) Find a CFG for the language defined by a"b2n. (f) Find a CFG for the language defined by an + b 2n.
I have below questions with answer! what if we get different question: Write a CFG without empty rules that generates the language: L = strings from (a ∪ b)*c* where the number of a's and b's together is equal to the number of c's. Answer: S → Asc | ε A → a | b ================================================== Write a CFG without empty rules that generates the language: L = strings from (ab ∪ cb)*c* where the number of a's and b's...
Automata and Computability problems
Please check my work and make necessary corrections/edits. Add
details to my work as well :)
3. Determine whether the grammar implicitly defined by the following rules is ambiguous. Prove your answer. S > AB А ЭaA A > abA Αε В ЭbВ B → abB B → 4. Give pushdown automata that recognize the following languages. (a) A = {w € {0,11 w contains at least three 1s) 3. It is ambiguous. Here are two...
Conversions to CNF: Textbook problems: 7.1.1 - 7.1.4 (p. 275) 7.1.1) Find a grammar equivalent to the following, but with no useless symbols: S → AB | CA A → a B → BC | AB C → aB | b 7.1.2) Begin with the following grammar, then eliminate ε-productions, eliminate unit productions, eliminate useless symbols, then put the grammar into CNF. S → ASB | ε A → aAS | a B → SbS | A | bb 7.1.3)...