'Linear grammars' presentation slideshows

Why do we care about regular languages?

Why do we care about regular languages?. Programs are composed of tokens: Identifier Number Keyword Special symbols Each of these can be defined by regular grammars . Problem: How do we handle multiple symbol operators (e.g., ++ in C, =+ in C, := in Pascal)? ?? -multiple final states?.

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Reverse of a Regular Language

Reverse of a Regular Language. Proof idea:. Construct NFA that accepts :. invert the transitions of the NFA that accepts. Theorem:. The reverse of a regular language is a regular language. Proof. Since is regular, there is NFA that accepts. Example:.

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Regular Grammars Generate Regular Languages

Regular Grammars Generate Regular Languages. Theorem. Regular grammars generate exactly the class of regular languages: If is a regular grammar then is a regular language. If is a regular language then there is a regular grammar with. Proof. First we prove:

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Linear Grammars

Linear Grammars. Grammars with at most one variable at the right side of a production Examples:. A Non-Linear Grammar. Grammar :. Number of in string. Another Linear Grammar. Grammar : . Right-Linear Grammars. All productions have form: Example:. or. string of

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Linear Grammars

Linear Grammars. Grammars with at most one variable at the right side of a production Examples:. A Non-Linear Grammar. Grammar :. Number of in string. Another Linear Grammar. Grammar : . Right-Linear Grammars. All productions have form: Example:. or. string of

1.53k views • 43 slides

Linear Grammars

Linear Grammars. Grammars with at most one variable at the right side of a production Examples:. A Non-Linear Grammar. Grammar :. Number of in string. Another Linear Grammar. Grammar :. Right-Linear Grammars. All productions have form: Example:. or. string of

561 views • 43 slides

Linear Grammars

Linear Grammars. Grammars with at most one variable at the right side of a production Examples:. A Non-Linear Grammar. Grammar :. Number of in string. Another Linear Grammar. Grammar :. Right-Linear Grammars. All productions have form: Example:. or. string of

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Regular Grammars

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Linear Grammars

Linear Grammars. Grammars with at most one variable at the right side of a production Examples:. A Non-Linear Grammar. Grammar :. Number of in string. Another Linear Grammar. Grammar :. Right-Linear Grammars. All productions have form: Example:. or. string of

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Chapter 10

Chapter 10. The Chomsky Hierarchy. Grammars Languages & Accepting Machines. Grammars Languages Accepting Machines Type 3 grammars: Regular DFA Regular grammars , languages NDFA Left-linear grammars, Right-linear grammars

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Chapter 10

Chapter 10. The Chomsky Hierarchy. Grammars Languages & Accepting Machines. Grammars Languages Accepting Machines Type 3 grammars: Regular DFA Regular grammars , languages NDFA Left-linear grammars, Right-linear grammars

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