'Pumping lemma' presentation slideshows

Pumping Lemma for Context-free Languages

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Pumping Lemma Examples

Pumping Lemma Examples. L > = { a i b j : i > j}. L > is not regular. We prove it using the Pumping Lemma. L > = { a i b j : i > j}. L > is not regular. Fix an arbitrary pumping length n>0. L > = { a i b j : i > j}. L > is not regular. Fix an arbitrary pumping length n>0.

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More Applications of The Pumping Lemma

More Applications of The Pumping Lemma. The Pumping Lemma:. For infinite context-free language . there exists an integer such that . for any string . we can write. with lengths. and it must be:. Non-context free languages. Context-free languages. Theorem:. The language.

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Non-regular languages

Non-regular languages. (Pumping Lemma). Non-regular languages. Regular languages. How can we prove that a language is not regular?. Prove that there is no DFA or NFA or RE that accepts . Difficulty: this is not easy to prove ( since there is an infinite number of them).

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Non-regular languages

Non-regular languages. (Pumping Lemma). Non-regular languages. Regular languages. How can we prove that a language is not regular?. Prove that there is no DFA or NFA or RE that accepts . Difficulty: this is not easy to prove ( since there is an infinite number of them).

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Theory of Computation

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More on Context Free Grammars

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More Applications of the Pumping Lemma

More Applications of the Pumping Lemma. The Pumping Lemma:. Given a infinite regular language . there exists an integer . for any string with length . we can write. with and. such that:. Non-regular languages. Regular languages.

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CSE 105 theory of computation

CSE 105 theory of computation. Fall 2019 https://cseweb.ucsd.edu/classes/fa19/cse105-a/. Today's learning goals Sipser Ch 1.4, 2.1. Apply the Pumping Lemma in proofs of nonregularity Identify some nonregular sets Define context-free grammars

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Conversions & Pumping Lemma

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Introduction to Computability Theory

Introduction to Computability Theory. Lecture9: The Pumping Lemma for Context Free Languages Prof. Amos Israeli. Introduction and Motivation. In this lecture we present the Pumping Lemma for Context Free Languages .

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CSE 105 Theory of Computation

CSE 105 Theory of Computation. Alexander Tsiatas Spring 2012. Theory of Computation Lecture Slides by Alexander Tsiatas is licensed under a Creative Commons Attribution- NonCommercial - ShareAlike 3.0 Unported License. Based on a work at http://peerinstruction4cs.org.

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The Golden Chain

The Golden Chain. ? NFA ? NFA ? DFA ?REGEX. Regular Expressions . Computations in a semi-ring. Given a weighted graph, find the shortest path connecting any two vertices Given a graph, find its transitive closure Given a finite automaton, find the REGEX describing its language.

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CFL Big Picture

CFL Big Picture. Context Free Languages Conclusion. We have studied the class of context free languages (CFL) We saw many different ways to express a CFL Context Free Grammars Context Free Expressions. Things like (mu x . a x a) Push Down Automata

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1.3 Properties of Regular Languages

1.3 Properties of Regular Languages. Pumping Lemma Closure properties Decision properties Minimization of DFAs. Limits on the Power of FA. Is every language describable by a sufficiently complex regular expression?

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Lecture # 21

Lecture # 21. Theory Of Automata By Dr. MM Alam. Lecture#20 Recap. Pumping Lemma 1 Examples Need for Pumping Lemma Version II JFLAP for Pumping Lemma Version II. PUMPING Lemma Version II using JFLAP. Pumping Lemma in JFLAP and in Daniel I. Cohen Book.

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Nonregular languages

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Solution Exercise 1.43

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NONREGULAR LANGUAGES

NONREGULAR LANGUAGES. To understand the power of finite automata you must also understand their limitations. Example. Consider two languages over the alphabet ? {0,1}: C = { ? I ? has an equal number of Os and Is}, and

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CHAPTER 1 Regular Languages

CHAPTER 1 Regular Languages. Contents. Finite Automata (FA or DFA) definitions, examples, designing, regular operations Non-deterministic Finite Automata (NFA) definitions, equivalence of NFAs and DFAs, closure under regular operations Regular expressions

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