Is there a context-free but non regular language, which still meets the requirements of the regular pumping...
$begingroup$
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?
discrete-mathematics computer-science
$endgroup$
add a comment |
$begingroup$
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?
discrete-mathematics computer-science
$endgroup$
1
$begingroup$
Possible duplicate of Non regular language that satisfies pumping lemma
$endgroup$
– dkaeae
Dec 6 '18 at 8:13
add a comment |
$begingroup$
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?
discrete-mathematics computer-science
$endgroup$
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
discrete-mathematics computer-science
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
add a comment |
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
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3027579%2fis-there-a-context-free-but-non-regular-language-which-still-meets-the-requirem%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3027579%2fis-there-a-context-free-but-non-regular-language-which-still-meets-the-requirem%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
$begingroup$
Possible duplicate of Non regular language that satisfies pumping lemma
$endgroup$
– dkaeae
Dec 6 '18 at 8:13