Question 3. (5 points) What is the language recognized by the following grammar? You can either...
5. (5 points) Give context-free grammar that generate the following languages (1) (w is a binary string, and w starts and ends with the same symbol (2) the empty language (empty set)
Give a context free grammar for the language L where L = {a"bam I n>:O and there exists k>-o such that m=2"k+n) 3. Give a nondeterministic pushdown automata that recognizes the set of strings in L from question 3 above. Acceptance should be by accept state. 4. 5 Give a context-free grammar for the set (abc il j or j -k) ie, the set of strings of a's followed by b's followed by c's, such that there are either a...
Question 9 (10 points) Consider the following EBNF grammar for a "Calculator Language": <calculation> <expr> = <expr> > <term> (+1-) <expr> <term <term> <factor> (* ) <term> <factor> <factor> > (<expr>) value> <value> → [<sign> ] <unsigned [. <unsigned> ] <unsigned> <digit> { <digit> } <digit → 011121314151617189 <sign → + - which of the following sentences is in the language generated by this grammar? Whx.2 a. 3/+2.5 = b. 5- *3/4= c. (3/-2) + 3 = d. 5++3 =
Question 9 (10 points) Consider the following EBNF grammar for a “Calculator Language": <calculation> → <expr>= <expr> <term> (+1-) <expr> <term> <term> <factor> (* ) <term> <factor> <factor> → (<expr>) <value> <value> → [<sign> ] <unsigned> [. <unsigned> ] <unsigned> <digit> { <digit> } <digit> → 01|2|3|4|567| 8 | 9 <sign> → +|- which of the following sentences is in the language generated by this grammar ? Why? a. 3/+2.5 = b. 5-*3/4= c. (3/-2) + 3 = d. 5...
can you plzz do question 1 and 2 Question 1. Design a CFG for the language over = {1, #} whose elements consist of every pair of distinct, #-separated unary values: L = {rı#x2 | 21, 22 € 1", 21 * x2}. Question 2. Design a CFG for the language of binary strings that contain at least one 1 in their second half: L = {uv | UE (OU 1)", v € OU 1)*1(0U 1)", [u '}. Question 3. This...
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...
7. What language does the grammar with these productions generate (5 points)? S + Aa, AB, B → Aa
(8) (3 marks) Write BNF grammar rules for a language that is comprised only of sentences described as follows: symbol, fol symbols orjust onéx symbol, A sequence of one or more occurrences of an a lowed by either zero or morez followed by a sequence of one or more b symbols. (9) (1 mark) The following fragment of grammar describes the syntax of the exponentiation operator. What is the associativity ot the operator as detined here? factor | expr factor...
Question 1. (15 points) Consider the following LL (1) grammar with starting symbol S s→(ST) F → id F → num a) Compute the First and Follow sets of all non-terminals (5 points) b) Construct the LL (1) parsing table for the grammar (5 points) c) Show step-by-step (content of stack and input string, as well as the production taken) how the following string is parsed: ((20+30 + a)) (5 points)
5. Is the following language A context-free? You either show that A is context-free by giving a context-free grammar for A, or prove that A is not context-free language using the context-free language pumping lemma