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Pumping Lemma (Regular Languages)

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$Page 1: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Pumping Lemma(Regular Languages)

$Page 2: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

So far

$Page 3: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Aside: logic

$Page 4: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Aside: logic

$Page 5: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Aside: logic

$Page 6: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Pumping lemma

$Page 7: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Pumping lemma

$Page 8: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Pumping lemma

$Page 9: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Pumping lemma

$Page 10: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Pumping lemma

$Page 11: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Context-Free Languages

$Page 12: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Context-free grammar

$Page 13: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Context-free grammar

$Page 14: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Context-free grammar

$Page 15: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Context-free grammar

$Page 16: Pumping Lemma (Regular Languages) · 2019-11-12 · umping lemma is a necessary condition for regular languages (Vi > O)xycz e L)/\ (Iyl > (this is why "pumping" If L is a regular$

Context-free grammar

1-Pumping Lemma (1)

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1 More Applications of the Pumping Lemma. 2 The Pumping Lemma: Given a infinite regular language there exists an integer for any string with length we

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The Pumping Lemma For Regular Languagescpennycu/2019/assets/fall/TOC... · the Pumping Lemma), show that pumping xyiz is not in the Language. Contradiction is shown for all cases,

Lecture 4 – Outline - TAU › ~bchor › CM › Compute4.pdf · Lecture 4 – Outline So far we saw ﬁnite automata, regular languages, regular expressions, pumping lemma for regular

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THE PUMPING LEMMA - University of Toronto · USING PUMPING LEMMA TO PROVE NON-REGULARITY. L regular =⇒ L satisﬁes P.L. L non-regular =⇒ ? L non-regular ⇐= L doesn’t satisfy

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Example: Regular Pumping LemmaJP · Example: Regular Pumping Lemma JP The following is a walk-through of the JFLAP Regular Pumping Lemma Game for the lemma L = {wwR: w (a, b)*} Recall

Fall 2006Costas Busch - RPI1 Non-regular languages (Pumping Lemma)

Today Chapter 1: RE = Regular Languages, nonregular languages RL pumping lemma Chapter 2: Context-Free Languages (CFLs)

Regular Languages, Regular Expressions, and Pumping Lemma · 2014-02-14 · Regular Languages, Regular Expressions, and Pumping Lemma . 2/14/14 Costas Busch - RPI 2 Non Turing-Acceptable

Non-Regular Languages and The Pumping Lemma · 2015-10-02 · use the pumping lemma for regular languages – In an NFA, “long” strings require that some states must be visited

The Pumping Lemma For Regular Languagescpennycu/2018/assets/fa-ToC-5.pdf · Example applications of the Pumping Lemma (RL) C = {w | w has an equal number of 0s and 1s} Is this Language

1 Pumping Lemma –A technique for proving a language L is NOT regular –What does the Pumping Lemma mean? –Proof of Pumping Lemma

Non Regular Languages and the Pumping Lemmabchor/CM05/Compute3.pdf · Pumping Lemma Theorem:IfL is a regular language, then there is an > 0 (the pumping length), where if s is any

Pumping Lemma Examples. L > = {a i b j : i > j} L > is not regular. We prove it using the Pumping Lemma

Example: Regular Pumping LemmaJP...Example: Regular Pumping Lemma JP The following is a walk-through of the JFLAP Regular Pumping Lemma Game for the lemma L = {wwR: w (a, b)*} Recall

More Applications of the Pumping Lemma

1 Module 36 Non context-free languages –Examples and Intuition Pumping lemma for CFL’s –Pumping condition –No proof of pumping lemma –Applying pumping

Sui Linguaggi Regolari: Teorema di Kleene - Pumping Lemma ... · TeoremadiKleene PumpingLemmaperLinguaggiRegolari Esercizi Sui Linguaggi Regolari: Teorema di Kleene - Pumping Lemma

The Pumping Lemma

Lecture 10 Pumping Lemma A property of regular sets

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Theory of Computation (Fall 2014): Beyond Regularity: Proofs by Contradiction, Pumping Lemma Proofs, Pumping Lemma & Finite Languages

Pumping Lemma for Regular Languages

CFGs, PDAs, and the Pumping Lemma

CS311—Computational Structures Properties of Regular ...web.cecs.pdx.edu/~black/CS311/Lecture Notes/Lecture 05.pdf13 The Pumping Lemma • For every regular language L, there is