
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question
Using the grammar and parse table below, show every step of an LR parser processing the
token stream :
id * ( id + id ) $
1: E → E + T
2: E → T
3: T → T ∗ F
4: T → F
5: F → ( E )
6: F → id

Transcribed Image Text:The image is a table used in syntax analysis, specifically for parsing, which includes "Action" and "Goto" sections. Here is the transcription and detailed explanation:
### Table Explanation
- **State**: Represents various states in the parsing process.
- **Action**: Provides instructions based on the current state and input symbol.
- **id, +, *, (, ), $**: Terminal symbols where actions are specified.
- **S** followed by a number (e.g., S5): Shift action, transitioning to the indicated state.
- **R** followed by a number (e.g., R2): Reduce action, implying the reduction by a grammar rule.
- **accept**: Accept action indicating successful parsing.
- **Goto**: Used for transitions based on non-terminal symbols.
- **E, T, F**: Non-terminal symbols.
### Detailed Table Content
| State | id | + | * | ( | ) | $ | E | T | F |
|-------|-----|----|----|----|----|----|---|---|---|
| 0 | S5 | | | S4 | | | 1 | 2 | 3 |
| 1 | | S6 | | | | | | | |
| 2 | | R2 | S7 | | R2 | R2 | | | |
| 3 | | R4 | R4 | | R4 | R4 | | | |
| 4 | S5 | | | S4 | | | 8 | 2 | 3 |
| 5 | | R6 | R6 | | R6 | R6 | | | |
| 6 | S5 | | | S4 | | | 9 | | 3 |
| 7 | S5 | | | S4 | | | | 10| 3 |
| 8 | S6 | | | | S11| | | | |
| 9 | | S7 | | | R1 | R1 | |
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