Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Question
**Exercise: Context-Free Grammar (CFG) for Natural Language** **Objective:** Define a Context-Free Grammar (CFG) for Natural Language to demonstrate that the following sentences would have very similar derivations and therefore can be well-formed: 1. A beautiful girl sings. 2. A green idea dances. **Discussion:** The task requires defining the rules of a CFG that generate the given sentences. A well-formed CFG allows the decomposition of sentences into their grammatical components, ensuring that similar structures share derivational processes. **Example Sentences:** - A beautiful girl sings. - A green idea dances. **Steps to Define CFG:** 1. Identify the components of the sentences: - Determiner (Det): "A" - Adjective (Adj): "beautiful", "green" - Noun (N): "girl", "idea" - Verb (V): "sings", "dances" 2. Define the production rules: Here, S represents a sentence, NP denotes a noun phrase, and VP stands for a verb phrase. ``` S → NP VP NP → Det Adj N VP → V Det → 'A' Adj → 'beautiful' | 'green' N → 'girl' | 'idea' V → 'sings' | 'dances' ``` **Explanation:** According to the production rules: - *S* (Sentence) is broken down into *NP* (Noun Phrase) and *VP* (Verb Phrase). - *NP* is further broken down into *Det* (Determiner), *Adj* (Adjective), and *N* (Noun). - *VP* for the given sentences only contains a *V* (Verb). - The terminals ('A', 'beautiful', 'green', 'girl', 'idea', 'sings', 'dances') are the actual words in the sentences. **Derivation for "A beautiful girl sings":** 1. S 2. NP VP 3. Det Adj N VP 4. 'A' Adj N VP 5. 'A' 'beautiful' N VP 6. 'A' 'beautiful' 'girl' VP 7. 'A' 'beautiful' 'girl' V 8. 'A' 'beautiful' 'girl' 'sings' **Derivation for "A green idea dances":** 1.
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Transcribed Image Text:**Exercise: Context-Free Grammar (CFG) for Natural Language** **Objective:** Define a Context-Free Grammar (CFG) for Natural Language to demonstrate that the following sentences would have very similar derivations and therefore can be well-formed: 1. A beautiful girl sings. 2. A green idea dances. **Discussion:** The task requires defining the rules of a CFG that generate the given sentences. A well-formed CFG allows the decomposition of sentences into their grammatical components, ensuring that similar structures share derivational processes. **Example Sentences:** - A beautiful girl sings. - A green idea dances. **Steps to Define CFG:** 1. Identify the components of the sentences: - Determiner (Det): "A" - Adjective (Adj): "beautiful", "green" - Noun (N): "girl", "idea" - Verb (V): "sings", "dances" 2. Define the production rules: Here, S represents a sentence, NP denotes a noun phrase, and VP stands for a verb phrase. ``` S → NP VP NP → Det Adj N VP → V Det → 'A' Adj → 'beautiful' | 'green' N → 'girl' | 'idea' V → 'sings' | 'dances' ``` **Explanation:** According to the production rules: - *S* (Sentence) is broken down into *NP* (Noun Phrase) and *VP* (Verb Phrase). - *NP* is further broken down into *Det* (Determiner), *Adj* (Adjective), and *N* (Noun). - *VP* for the given sentences only contains a *V* (Verb). - The terminals ('A', 'beautiful', 'green', 'girl', 'idea', 'sings', 'dances') are the actual words in the sentences. **Derivation for "A beautiful girl sings":** 1. S 2. NP VP 3. Det Adj N VP 4. 'A' Adj N VP 5. 'A' 'beautiful' N VP 6. 'A' 'beautiful' 'girl' VP 7. 'A' 'beautiful' 'girl' V 8. 'A' 'beautiful' 'girl' 'sings' **Derivation for "A green idea dances":** 1.
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