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
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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.
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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