Construct a context-free grammar generating L. You do not need an inductive proof, but you should explain how your construction accounts for each rule.
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Construct a context-free grammar generating L. You do not need an inductive proof, but you should...
(20) Let L be the language over {a,b,c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two c's. 5. There are exactly as many a's as b's. Construct a context-free grammar generating L. You do not need an inductive proof, but you should...
Choose any constructive method you wish, and demonstrate that L is regular. You do not need an inductive proof, but you should explain how your construction accounts for each rule. Let L be the language over {a,b,c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by...
1. Let L be the language over {a, b, c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two d's. Choose any constructive method you wish, and demonstrate that L is regular. You do not need an inductive proof, but you should explain how your construction accounts for...
1. (15) Let L be the language over {a,b,c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two c's. Choose any constructive method you wish, and demonstrate that is regular. You do not need an inductive proof, but you should explain how your...
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...
1. Give a context-free grammar for the set BAL of balanced strings of delimiters of three types (), and . For example, (OOis in BAL but [) is not. Give a nondeterministic pushdown automata that recognizes the set of strings in BAL as defined in problem 1 above. Acceptance should be by accept state. 2. Give a context free grammar for the language L where L-(a"b'am I n>-o and there exists k>-o such that m-2*ktn) 3. Give a nondeterministic pushdown...
You are given the following context free grammar in BNF format. 1 <expression> ::= <term> | <expression> "+" <term> 2 <term> ::= <factor> | <term> "*" <factor> 3 <factor> ::= <constant> | <variable> | "(" <expression> ")" 4 <variable> ::= "x" | "y" | "z" 5 <constant> ::= <digit> | <digit> <constant> 6 <digit> ::= "0" | "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" | "9" a) Show how the expression 4...
Construct context-free grammars that generate each of these languages: A. tw E 10, 1 l w contains at least three 1s B. Hw E 10, 1 the length of w is odd and the middle symbol is 0 C. f0, 1 L fx l x xR (x is not a palindrome) m n. F. w E ta, b)* w has twice as many b's as a s G. a b ch 1, J, k20, and 1 or i k
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...
Which part of this program is used for input one context free grammar? And if you want to give another different context free grammar, how to do that? code: #include<stdio.h> #include<stdlib.h> #include<string.h> #define MaxVtNum 20 #define MaxVnNum 20 #define MaxPLength 20 #define MaxSTLength 50 char stack[20]={'#','E'}; char input[MaxSTLength]; char termin[MaxVtNum]={'i','+','*','(',')','#'}; char non_termin[MaxVnNum]={'E','G','T','H','F'}; struct product{ char left; char right[MaxPLength]; int length; }; struct product E,T,G,G1,H,H1,F,F1; struct product M[MaxVnNum][MaxVtNum]; int flag=1; int top=1; int l; void print_stack(){ } } } } }...