Elimination of Left Recursion in CFG | Simplification of CFG - Part 1 | TOC
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Elimination of Left Recursion in CFG | Simplification of CFG - Part 1 | TOC
In this video, we will learn about the Elimination of Left Recursion, which is the FIRST step in the Simplification of Context-Free Grammar (CFG). This is a very important topic in Theory of Computation (TOC) and Compiler Design.
TOPICS COVERED IN THIS VIDEO:
What is CFG (Context-Free Grammar)?
Why Simplification of CFG is Needed?
4 Main Steps of Simplification
What is Left Recursion?
Why Left Recursion is a Problem?
Magic Formula to Eliminate Left Recursion
Step-by-Step Procedure
Example 1 - Simple Left Recursion (E → E + T | T)
Example 2 - Multiple Left Recursive Productions
FORMULA:
If A → Aα | β
Then replace with:
A → βA'
A' → αA' | ε
EASY TRICK TO REMEMBER:
β comes FIRST with A'
α goes WITH A', ending with ε
COMING UP NEXT:
Elimination of Useless Symbols in CFG (Part 2)
Elimination of Epsilon Productions (Part 3)
Elimination of Unit Productions (Part 4)
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