Understanding LL1 Parsing Table Construction

Sep 12, 2024

LL1 Parsing Table Lecture Notes

Introduction

  • Topic: LL1 Parsing Table
  • Focus: Construction of the LL1 Parsing Table

Session Outcomes

  • Understanding the construction of LL1 parsing table.
  • Review of previously covered topics: top-down parsers, LL1 parsers, FIRST and FOLLOW sets.

Importance of LL1 Parsing Table

  • LL1 parsers need a parsing table and a stack to generate a parse tree.
  • The table is constructed using FIRST and FOLLOW sets for non-terminals.

Grammar Review

  • Reminder of previously studied grammar and FIRST and FOLLOW sets.
  • Non-terminals and terminal symbols involved:
    • Non-terminals: E, E', T, T', F
    • Terminal symbols: id, (, ), *, +, $

Structure of LL1 Parsing Table

  • Rows: non-terminals
  • Columns: terminal symbols

Construction Process

Non-terminal E

  • Production rule: E -> T E'
  • Place in columns for id and (.

Non-terminal E'

  • Production rules: E' -> + T E' | ε
  • Place in column for + and ε in columns for $ and ).

Non-terminal T

  • Production rule: T -> F
  • Place in columns for id and (.

Non-terminal T'

  • Production rules: T' -> * F T' | ε
  • Place in column for * and ε in columns for +, $, and ).

Non-terminal F

  • Production rules: F -> id | ( E )
  • Place in columns for id and (.

Rules for Construction

  1. Epsilon productions are placed under FOLLOW sets.
  2. Remaining productions are placed under FIRST sets.

Conclusion

  • Summarized the construction of LL1 parsing table.
  • Next session: LL1 parsing technique.

Acknowledgement

  • Thank you for attending. Looking forward to next session!