Practice Eliminate Useless Symbols - 5.4.1.4 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
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5.4.1.4 - Eliminate Useless Symbols

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a non-generating symbol in a CFG?

πŸ’‘ Hint: Think about symbols that don't lead to valid outputs.

Question 2

Easy

How can you identify unreachable symbols in a CFG?

πŸ’‘ Hint: Consider whether you can reach the symbol through any rules.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What are non-generating symbols?

  • Symbols that produce terminal strings
  • Symbols that cannot derive terminal strings
  • Symbols that are reachable from the start symbol

πŸ’‘ Hint: Think of what these symbols can do.

Question 2

True or False: Unreachable symbols can be derived from the start symbol.

  • True
  • False

πŸ’‘ Hint: Think about how symbols connect in a CFG.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the CFG defined by productions P: A β†’ B | C; B β†’ D; D β†’ E; E β†’ Ξ΅; C β†’ c, identify all non-generating and unreachable symbols.

πŸ’‘ Hint: Trace the paths and identify the symbols that cannot lead to terminal outputs.

Question 2

In a CFG with S β†’ A | B; A β†’ a; B β†’ C; C β†’ Ξ΅, identify unreachable symbols and justify your choice.

πŸ’‘ Hint: Evaluate the connections to the start symbol.

Challenge and get performance evaluation