Homework Answers
Context free grammar
S -> aAb
A -> Ac | aAbcc | c
Explanation
S -> aAb
Above is to start with a and end with b
#a = #b = 1 by this time which is same
A -> Ac
Above is to have any number of c's
A -> aAbcc
Above is to have equal number of a's and b's and to have cc after
b
A -> c
Minimum one c is needed in the language
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(20) Let L be the language over {a,b,c} accepting all strings so that: 1. No b's...
1. (15) Let L be the language over {a,b,c} accepting all strings so that: 1. No...
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Let L be the language over {a, b, c} accepting all strings so that:
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Construct a context-free grammar generating L. You do not need an inductive proof, but you should...
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should explain how your construction accounts for each rule.
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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.
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DO NUMBER 4 AND 5
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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...
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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.
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. 5. There...
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...
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...
DO NUMBER 4 AND 5
2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept...
DO NUMBER 3
2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept the language:...
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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...
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