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.
The following context-free grammar (CFG) generates palindromes. This CFG has the following rules: S → ε,...
2. The following context-free grammar (CFG) has A-productions. S + XY | XYZ X + YXYZ | a | A Y + XZ | ZY | 6 | A Z YZ | XY | X | C Using the algorithm in Chapter 13, find another CFG that generates the same language except for the empty word, and that does not have any A-productions.
Please help and show full steps will upvote thanks! Define a context-free grammar (CFG) that generates exactly the following language. B = {1'0'ik | i+j = k or i+k=j with i, j, k > 0} Both ambiguous and unambiguous grammars are acceptable (it does not matter in this question). For grading purposes, please use as the starting variable. Alphabet E = {0,1}
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 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...
Give a Context Free Grammar (CFG) for the following language: L = { w | the number of a’s and the number of b’s in w are equal, ∑= {a, b} }
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
Design a CFG (Context Free Grammar) for each of the following languages: L4 = {w | w does not have exactly as many a's as b's}.
Write a context-free grammar that generates the same language as regular expression which is ab*|c+ (Describe the four components of context-free grammar which are start symbol(S), non-terminals(NT), terminals(T), and set of production rules(P))
4. Consider the following context-free grammar S SSSS a (a) Show how the string aa+a* can be generated by this grammar (b) What language does this grammar generate? Explain
Construct a PDA for the context free grammar: S → AxA | By | zC A → B | a B → C | b C → SS | c | ε