किसी दिए गए चॉम्स्की सामान्य रूप व्याकरण से n टर्मिनलों की एक शृंखला प्राप्त करने के लिए, उपयोग की जाने वाली प्रस्तुतियों की संख्या कितनी है?

This question was previously asked in
UGC NET Computer Science (Paper 2) July 2018 Paper
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  1. 2n − 1
  2. 2n
  3. n + 1
  4. n2

Answer (Detailed Solution Below)

Option 1 : 2n − 1
Free
UGC NET Paper 1: Held on 21st August 2024 Shift 1
50 Qs. 100 Marks 60 Mins

Detailed Solution

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संकल्पना:

चॉम्स्की सामान्य रूप

S → AB

A → a

B → b

शृंखला की लम्बाई = n

प्रसंग मुक्त्त व्याकरण में शृंखला n के व्युत्पन्न की लंबाई:

2|n| – 1

उदाहरण:

अगर हमें ab (लंबाई 2 की शृंखला) उत्पन्न करने की आवश्यकता है

S → AB

S → aB

S → ab

पदों की संख्या

 = 2 × 2 – 1 = 3

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