4) a) S -> SS* -> SS+S* -> aS+S* -> aa+S* -> aa+a* b) This grammar generates a language of all strings, where each string is a post-fix(Reverse-Polish) of representing mathematical expressions over operands a and operators * and +
4. Consider the following context-free grammar S SSSS a (a) Show how the string aa+a* can...
3 points) Question Three Consider the context-free grammar S >SS+1 SS 1a and the string aa Give a leftmost derivation for the string. 3 points) (4 poiots) (5 points) (3 points) sECTION IWOLAttcmpt.any 3.(or 2) questions from this.scction Suppose we have two tokens: (1) the keyword if, and (2) id-entifiers, which are strings of letters other than if. Show the DFA for these tokens. Give a nightmost derivation for the string. Give a parse tree for the string i) Is...
please do B) for me a. Give the definition of a rightmost derivation of a context free grammar G b. Show that any string that can be generated by any context free grammer G can be generated by a rightmost derivation in that grammer G. a. Give the definition of a rightmost derivation of a context free grammar G b. Show that any string that can be generated by any context free grammer G can be generated by a rightmost...
1. Consider the following grammar A - aB B-Sb (a) Show a derivation tree for the string aabbbb using the grammar. (b) Give an English description of the language generated by the grammar 2. Let G be the grammar below: S-ASB ab | SS (a) Show that G is ambiguous. (b) Construct an unambiguous grammar equivalent to G. 3. Find a context free grammar for the language L3- fa"b"c+m :n,m21) 4. Find a context free grammar for the language L4...
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)-
The following shows a context-free Tammar on {0, 1}. Show that the grammar is ambiguous by generating 2 derivation sequences for word 00111. S > AS5 A → Al|0A101 The following is a context-free grammar on alphabet {a}. Use the string a +a- a to verify whether or not the grammar is ambiguous. AA+AA-AA The following is a gamar equivalent to the one shown above in problem (5). Is it ambiguous? Use a +a- a to verify it. A →...
Q1: Given the below language and context free gramma:, a. Show that the grammar is ambiguous using the string ( abc) by using substitutions. b. Then design a push down automata that recognizes the language. C. Then show the tracing of (abc, abbccc) using the push down automata. d. Then Show which two simple languages create the greaterlanguage. Give set builder notation for each language. e. Then produce Chomsky normal form for the grammar. The following context-free language is inherently...
Give a context-free-grammar describing the syntax of the following language. Thank you =) Give a context-free-grammar describing the syntax of the following language: L = { ww| we{a, b }" } is a context- free language, where w is a non-empty string from alphabet {a, b } and wt denotes the reversal of string w.
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...
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...
Ambiguous Grammars Question 3 [10 points be an ambiguous context-free grammar. We know that the length of S Mwis not always the same as the length of S → M w. 15/10] Consider the string abba. Create a context-free grammar that proves this point, and show the 2 different derivations of different length. ·15/10 If a context-free grammar is not LL(1) can it then be LR(1) without changing anything? Explain and/or give an example. Ambiguous Grammars Question 3 [10 points...