Use the pumping lemma for regular languages to carefully prove that the language { aibjck :...
Use the pumping lemma for regular languages to carefully prove that the language { aibjck : 0≤ i < j < k } is not regular.
Homework Answers
step1: Assume given language L={aibjck :0<=i<j<k} is regular.
step2: take a string w form L and split into 3 parts
step3: take w=abbccc
split W into 3 parts
U=ab
V=b
W=ccc
for i=2 ,UViW =abb2ccc=abbbccc
here UViW is not in the language.
this is contradiction to our assumption .
so this is not regular language.
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Use the pumping lemma for regular languages to carefully prove
that the language { aibjck :...
The pumping lemma for regular languages is Theorem 1.70 on page 78 of the required text....
The pumping lemma for regular languages is Theorem 1.70 on page 78 of the required text. Definition: w is a string if and only if there exists an alphabet such that w is a string over that alphabet. Note: For every alphabet, the empty string is a string over that alphabet. Notation: For any symbol o, gº denotes the empty string, and for every positive integer k, ok denotes the string of length k over the alphabet {o}. 1) (20%]...
6.[15 points] Recall the pumping lemma for regular languages: Theorem: For every regular language L, there...
6.[15 points] Recall the pumping lemma for regular languages: Theorem: For every regular language L, there exists a pumping length p such that, if s€Lwith s 2 p, then we can write s xyz with (i) xy'z E L for each i 2 0, (ii) ly > 0, and (iii) kyl Sp. Prove that A ={a3"b"c?" | n 2 0 } is not a regular language. S=
6.[15 points] Recall the pumping lemma for regular languages: Theorem: For every regular...
3. Use the pumping lemma to prove the following language is not regular . Use the...
3. Use the pumping lemma to prove the following language is not regular . Use the pumping lemma to prove the following language is not regular Where is the stringwbut with all the Os replaced by Is and all the し1 = {te E Σ.ead I te _ wu) is replaced by 0s. For example, if w = 00110 then w = 11001.
Prove the following language is not regular (you may use pumping lemma and the closure of...
Prove the following language is not regular (you may use pumping lemma and the closure of the class of regular languages under union, intersection, and complement.): (w | w ∈ {0,1}* is not a palindrome} Please show work/explain. Thanks.
Prove that the following languages are not regular. You may use the pumping lemma and the...
Prove that the following languages are not regular. You may use
the pumping lemma and the closure of the class of regular languages
under union, intersection, and compliment.
a){}
b){}
c) {
is not a palindrome}
*d)}
0"1"0" m,n>0
Use the pumping lemma to show that each of the following languages is not regular. L...
Use the pumping lemma to show that each of the following languages is not regular. L = {0i 1j 0k |k > i + j} Not entierly sure what to do when there are 3 variables.
Use the Pumping Lemma to show that the following languages are not regular. (a){apaq | for...
Use the Pumping Lemma to show that the following languages are not regular. (a){apaq | for all integers p and q where q is a prime number and p is not prime}. (b) {ai bj || i − j | = 3} (c) {ai bj ck | i = j or j 6= k} (d) {aibj | i/j is an integer}
Can someone use pumping Lemma to show if these are regular languages or not c) Is...
Can someone use pumping Lemma to show if these are regular
languages or not
c) Is L regular? give a finite automaton or prove using pumping lemma. (d) Is L context-free? give a context-free grammar or pushdown automaton, otherwise pr using pumping lemma. (16 pts)Given the set PRIMES (aP | p is prime (a) Prove that PRIMES is not regular. (b) Prove that PRIMES is not context-free. (c) Show if complement of PRIMES (PRIMES ) is regular or not. d)...
use the pumping lemma for context free languages to prove the language is not context free....
use
the pumping lemma for context free languages to prove the language
is not context free.
B = {w#t | w is a substring of t, where wit e {a,b}*}. Hint: consider s = apbº#apba.
4. (15 points) Using the pumping lemma for regular languages show that the following language is...
4. (15 points) Using the pumping lemma for regular languages show that the following language is not regular
The pumping lemma for regular languages is Theorem 1.70 on page 78 of the required text. Definition: w is a string if and only if there exists an alphabet such that w is a string over that alphabet. Note: For every alphabet, the empty string is a string over that alphabet. Notation: For any symbol o, gº denotes the empty string, and for every positive integer k, ok denotes the string of length k over the alphabet {o}. 1) (20%]...
6.[15 points] Recall the pumping lemma for regular languages: Theorem: For every regular language L, there exists a pumping length p such that, if s€Lwith s 2 p, then we can write s xyz with (i) xy'z E L for each i 2 0, (ii) ly > 0, and (iii) kyl Sp. Prove that A ={a3"b"c?" | n 2 0 } is not a regular language. S=
6.[15 points] Recall the pumping lemma for regular languages: Theorem: For every regular...
3. Use the pumping lemma to prove the following language is not regular . Use the pumping lemma to prove the following language is not regular Where is the stringwbut with all the Os replaced by Is and all the し1 = {te E Σ.ead I te _ wu) is replaced by 0s. For example, if w = 00110 then w = 11001.
Prove that the following languages are not regular. You may use
the pumping lemma and the closure of the class of regular languages
under union, intersection, and compliment.
a){}
b){}
c) {
is not a palindrome}
*d)}
0"1"0" m,n>0
Can someone use pumping Lemma to show if these are regular
languages or not
c) Is L regular? give a finite automaton or prove using pumping lemma. (d) Is L context-free? give a context-free grammar or pushdown automaton, otherwise pr using pumping lemma. (16 pts)Given the set PRIMES (aP | p is prime (a) Prove that PRIMES is not regular. (b) Prove that PRIMES is not context-free. (c) Show if complement of PRIMES (PRIMES ) is regular or not. d)...
use
the pumping lemma for context free languages to prove the language
is not context free.
B = {w#t | w is a substring of t, where wit e {a,b}*}. Hint: consider s = apbº#apba.
4. (15 points) Using the pumping lemma for regular languages show that the following language is not regular
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