Is there a context-free but non regular language, which still meets the requirements of the regular pumping...












2












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Is there a context-free but non regular language, which still meets the requirements of the regular pumping lemma?

Regular Pumping Lemma: $exists nin mathbb{N}:forall w in L:{mid
w mid} geq n: exists x,y,zin Sigma^*$
:
begin{align} i)&w=xyz\
ii)& {mid y mid} geq 1\ iii)& {mid xy mid} leq n\ iv)& forall
iin mathbb{N_0}:xy^izin L
end{align}




Is there any $L$ with $Lin CFL$ and $Lnotin REG$ but still meets the regular pumping lemma from above?










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  • 1




    $begingroup$
    Possible duplicate of Non regular language that satisfies pumping lemma
    $endgroup$
    – dkaeae
    Dec 6 '18 at 8:13
















2












$begingroup$



Is there a context-free but non regular language, which still meets the requirements of the regular pumping lemma?

Regular Pumping Lemma: $exists nin mathbb{N}:forall w in L:{mid
w mid} geq n: exists x,y,zin Sigma^*$
:
begin{align} i)&w=xyz\
ii)& {mid y mid} geq 1\ iii)& {mid xy mid} leq n\ iv)& forall
iin mathbb{N_0}:xy^izin L
end{align}




Is there any $L$ with $Lin CFL$ and $Lnotin REG$ but still meets the regular pumping lemma from above?










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Possible duplicate of Non regular language that satisfies pumping lemma
    $endgroup$
    – dkaeae
    Dec 6 '18 at 8:13














2












2








2





$begingroup$



Is there a context-free but non regular language, which still meets the requirements of the regular pumping lemma?

Regular Pumping Lemma: $exists nin mathbb{N}:forall w in L:{mid
w mid} geq n: exists x,y,zin Sigma^*$
:
begin{align} i)&w=xyz\
ii)& {mid y mid} geq 1\ iii)& {mid xy mid} leq n\ iv)& forall
iin mathbb{N_0}:xy^izin L
end{align}




Is there any $L$ with $Lin CFL$ and $Lnotin REG$ but still meets the regular pumping lemma from above?










share|cite|improve this question











$endgroup$





Is there a context-free but non regular language, which still meets the requirements of the regular pumping lemma?

Regular Pumping Lemma: $exists nin mathbb{N}:forall w in L:{mid
w mid} geq n: exists x,y,zin Sigma^*$
:
begin{align} i)&w=xyz\
ii)& {mid y mid} geq 1\ iii)& {mid xy mid} leq n\ iv)& forall
iin mathbb{N_0}:xy^izin L
end{align}




Is there any $L$ with $Lin CFL$ and $Lnotin REG$ but still meets the regular pumping lemma from above?







discrete-mathematics computer-science






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share|cite|improve this question













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share|cite|improve this question








edited Dec 17 '18 at 14:38









dkaeae

306311




306311










asked Dec 5 '18 at 20:10









DoesbaddelDoesbaddel

34011




34011








  • 1




    $begingroup$
    Possible duplicate of Non regular language that satisfies pumping lemma
    $endgroup$
    – dkaeae
    Dec 6 '18 at 8:13














  • 1




    $begingroup$
    Possible duplicate of Non regular language that satisfies pumping lemma
    $endgroup$
    – dkaeae
    Dec 6 '18 at 8:13








1




1




$begingroup$
Possible duplicate of Non regular language that satisfies pumping lemma
$endgroup$
– dkaeae
Dec 6 '18 at 8:13




$begingroup$
Possible duplicate of Non regular language that satisfies pumping lemma
$endgroup$
– dkaeae
Dec 6 '18 at 8:13










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