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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
Epsilon productions are placed under FOLLOW sets.
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!
📄
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