Practice Derivation Trees (parse Trees / Syntax Trees) (5.2.3) - Context-Free Grammars (CFG) and Languages
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Engineering Courses
Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Certifications
Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Derivation Trees (Parse Trees / Syntax Trees)

Practice - Derivation Trees (Parse Trees / Syntax Trees)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does a derivation tree represent?

💡 Hint: Think about how strings are constructed from symbols.

Question 2 Easy

Identify the components of a derivation tree.

💡 Hint: Consider the roles of different symbols in forming a string.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the root of a derivation tree represent?

A terminal symbol
A non-terminal symbol
The start symbol

💡 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

💡 Hint: Consider how trees terminate in strings.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Consider the number of each character you need in the final string.

Challenge 2 Hard

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

💡 Hint: Keep in mind the structure needed to yield two terminals.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.