Practice Derivation Trees (Parse Trees / Syntax Trees) - 5.2.3 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
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5.2.3 - Derivation Trees (Parse Trees / Syntax Trees)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does a derivation tree represent?

πŸ’‘ Hint: Think about how strings are constructed from symbols.

Question 2

Easy

Identify the components of a derivation tree.

πŸ’‘ Hint: Consider the roles of different symbols in forming a string.

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 does the root of a derivation tree represent?

  • A terminal symbol
  • A non-terminal symbol
  • The start symbol

πŸ’‘ Hint: Think about where the generation process begins.

Question 2

A derivation tree does not include which of the following?

  • Sequential order of production
  • Epsilon

πŸ’‘ Hint: Consider how trees terminate in strings.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Construct a derivation tree for the string aabb using the CFG rules S -> aS | bS | Ξ΅.

πŸ’‘ Hint: Consider the number of each character you need in the final string.

Question 2

Given the CFG S -> ASB | Ξ΅, derive a tree for the string aa using your CFG.

πŸ’‘ Hint: Keep in mind the structure needed to yield two terminals.

Challenge and get performance evaluation