What is the Difference Between Top Down and Bottom Up Parsing?

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The main difference between top-down and bottom-up parsing lies in the approach they take to build the parse tree and the type of derivation they use. Here are the key differences between the two parsing techniques:

Top-Down Parsing:

  • Starts from the top (start symbol) of the parse tree and works down to match the input.
  • Uses leftmost derivation, which means it attempts to find the left-most derivation for an input string.
  • Often used for LL(k) grammars.
  • Has good error reporting, is predictable, and easier to implement.
  • Examples of top-down parsing techniques include Recursive Descent parser.

Bottom-Up Parsing:

  • Starts from the input terminals (bottom of the parse tree) and constructs the parse tree by reducing them according to grammar rules.
  • Uses rightmost derivation, which means it attempts to reduce the input string to the start symbol of a derivation tree.
  • Typically used for a broader range of grammars, including LR(k).
  • Handles a broader grammar, is less predictable, more complex to implement, and involves challenging error recovery.
  • Examples of bottom-up parsing techniques include Shift-Reduce parser.

In summary, top-down parsing starts from the top of the parse tree and works down, using leftmost derivation, while bottom-up parsing starts from the input terminals and works up, using rightmost derivation. Top-down parsing is more predictable and easier to implement, but it is limited for complex grammars. Bottom-up parsing can handle a broader range of grammars but is more complex to implement and has more challenging error recovery.

Comparative Table: Top Down vs Bottom Up Parsing

Here is a table comparing the differences between top-down and bottom-up parsing:

Feature Top-Down Parsing Bottom-Up Parsing
Approach Starts from the highest level of the parse tree and works down to the input string Starts from the input string and works up to the start symbol
Strategy Analyzing unknown data relationships by hypothesizing general parse tree structures Analyzing unknown data and inferring higher-order structures from them
Parsing Technique Left Most Derivation Right Most Derivation
Main Decision Selecting the production rule to use in order to construct the string Selecting when to use a production rule to reduce the string to get the start symbol
Example Algorithm Recursive Descent Parsing Shift-Reduce Parser

In summary, the main difference between top-down and bottom-up parsing lies in their approach to constructing the parse tree. Top-down parsing starts from the start symbol and works down to the input string, while bottom-up parsing starts from the input string and works up to the start symbol.