3. What is a syntax tree? Draw the syntax tree for the expression: if a
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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![**Question 3: What is a syntax tree?**
A syntax tree, also known as a parse tree, is a tree representation of the syntactic structure of a string according to a formal grammar. It is used in programming languages and compilers to represent the hierarchical syntax of source code.
**Task: Draw the syntax tree for the expression: `if a < b then a else b`.**
In this context, the expression can be broken down into its components and represented as a syntax tree. Each node in the tree represents a construct occurring in the source code. At the top of the tree, you'll typically find the main control structure (`if`), branching out to show its condition and corresponding actions (`then` and `else`).
Here's a detailed breakdown of the syntax tree for the given expression:
1. **Root Node**:
- `if-else` construct.
2. **Child Nodes of Root**:
- **Condition**: `a < b`
- **Left Child**: `a`
- **Operator**: `<`
- **Right Child**: `b`
3. **Then Branch**:
- Represents the 'then' part of the statement.
- **Node**: `a`
4. **Else Branch**:
- Represents the 'else' part of the statement.
- **Node**: `b`
In a graphical representation, the main node would branch to the condition and each subsequent condition to its respective variables, followed by branches for the 'then' and 'else' conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26ae8996-d194-4696-9981-c6c5dd36e177%2F5699eed2-83f7-44a7-85f3-8de713cce8e3%2Fdcs8ni_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 3: What is a syntax tree?**
A syntax tree, also known as a parse tree, is a tree representation of the syntactic structure of a string according to a formal grammar. It is used in programming languages and compilers to represent the hierarchical syntax of source code.
**Task: Draw the syntax tree for the expression: `if a < b then a else b`.**
In this context, the expression can be broken down into its components and represented as a syntax tree. Each node in the tree represents a construct occurring in the source code. At the top of the tree, you'll typically find the main control structure (`if`), branching out to show its condition and corresponding actions (`then` and `else`).
Here's a detailed breakdown of the syntax tree for the given expression:
1. **Root Node**:
- `if-else` construct.
2. **Child Nodes of Root**:
- **Condition**: `a < b`
- **Left Child**: `a`
- **Operator**: `<`
- **Right Child**: `b`
3. **Then Branch**:
- Represents the 'then' part of the statement.
- **Node**: `a`
4. **Else Branch**:
- Represents the 'else' part of the statement.
- **Node**: `b`
In a graphical representation, the main node would branch to the condition and each subsequent condition to its respective variables, followed by branches for the 'then' and 'else' conditions.
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