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Standard Representations of Regular Languages

Standard Representations of Regular Languages

Standard Representations of Regular Languages. Regular Languages. DFAs. Regular Grammars. NFAs. Regular Expressions. When we say:. We are given a Regular Language. We mean:. Language is in a standard representation. Elementary Questions about Regular Languages. Answer:.

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822 views • 82 slides
Non-regular languages

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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616 views • 47 slides
Non-regular languages

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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481 views • 47 slides
More Applications of the Pumping Lemma

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. Theorem:.

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472 views • 46 slides
Non-regular languages

Non-regular languages

Non-regular languages. Non-regular languages. Regular languages. Prove that there is no DFA that accepts. How can we prove that a language is not regular?. Problem: this is not easy to prove. Solution: the Pumping Lemma !!!. The Pigeonhole Principle. pigeonholes. pigeonholes.

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555 views • 39 slides
Formal Languages Non-Regular Languages

Formal Languages Non-Regular Languages

Formal Languages Non-Regular Languages. Non-regular languages. Regular languages. Prove that there is no DFA that accepts. How can we prove that a language is not regular?. Problem: this is not easy to prove. Solution: the Pumping Lemma !!!. The Pigeonhole Principle. pigeons.

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474 views • 39 slides
More Applications of the Pumping Lemma

More Applications of the Pumping Lemma

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

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487 views • 31 slides
More Applications of the Pumping Lemma

More Applications of the Pumping Lemma

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

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498 views • 31 slides
Properties of Regular Languages

Properties of Regular Languages

Properties of Regular Languages. Chapter 4. Regular Languages. A language is regular iff it is accepted by some DFA. Example: L = { w ? { a , b }* : every a is immediately followed by a b }. Languages: Regular or Not?. a * b * is regular. { a n b n : n ? 0} is not .

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337 views • 23 slides
Properties of Regular Languages

Properties of Regular Languages

Properties of Regular Languages. Chapter 4. Regular Languages. A language is regular iff it is accepted by some DFA. Example: L = { w ? { a , b }* : every a is immediately followed by a b }. Languages: Regular or Not?. a * b * is regular. { a n b n : n ? 0} is not .

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340 views • 23 slides
Nonregular Languages

Nonregular Languages

Nonregular Languages. Section 2.4 Wed, Oct 5, 2005. Countability of the Set of DFAs. Theorem: The set of all DFAs (over an alphabet ? ) is countable. Proof: For a given n > 0, let S n be the set of all DFAs with exactly n states. How many DFAs are in S n ?

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320 views • 14 slides

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