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}.
S-starting Non terminal
X,Y-intermediate non terminals
Alphanet set:-{a,b}
language :-
S -> X/Y
X -> aXb/bXa/bX/Xb/b //this rule is for strings which have more number of b's than a's
Y -> aYb/bYa/aY/Ya/a //This rule is for strings which have more number of a's than b's
Design a CFG (Context Free Grammar) for each of the following languages: L4 = {w |...
Question 3 Give a context-free grammar for each of the following languages over = {a,b,c}. 1. {a^jen: n >0}. 2. {animck : k=n+m} 3. Strings of a's and b's that contain twice as many a's as b's (for example, aba).
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} }
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...
Give context-free grammars to generate the following languages. Each CFG should have at most two variables.
Define a context-free grammar that generates exactly each of the following languages. For consistency, please use S for the start variable in all three grammars 1. A- E 10,1) the middle symbol in is 0 and is odd)
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.
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)
Theory of Computation - Push Down Automata (PDA) and Context Free Grammars (CFG) Problem 1. From a language description to a PDA Show state diagrams of PDAs for the following languages: a. The set of strings over the alphabet fa, b) with twice as many a's as b's. Hint: in class, we showed a PDA when the number of as is the same as the number of bs, based on the idea of a counter. + Can we use a...
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.