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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

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

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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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

 

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 | |
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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