Parsing and it’s classification in Compiler Design- Top down parsing/bottom up parsing/Crecursive

Parsing and it’s classification in Compiler Design- Top down parsing/bottom up parsing/Crecursive

Parsing and Its Classification in Compiler Design

 What is Parsing?

Parsing is the process of analyzing a sequence of tokens (from lexical analysis) to check if they follow the syntax rules of a grammar. It helps in syntax analysis and is a crucial part of a compiler.

 Classification of Parsing

Parsing is broadly classified into two types:
Top-Down Parsing
Bottom-Up Parsing

 Top-Down Parsing

In top-down parsing, the parser starts from the start symbol (S) and tries to derive the input string step by step by applying production rules.

Types of Top-Down Parsing:

  • Recursive Descent Parsing (Uses recursive functions)
  • Predictive Parsing (Uses a parsing table, LL(1) Parsing)

 Recursive Descent Parsing

  • Uses recursive functions for each non-terminal.
  • Backtracking may be required (which is inefficient).

Example:

r
E → T + E | T
T → id

For input id + id, the parser starts from E and applies rules step by step.

 Predictive Parsing (LL(1) Parsing)

  • No backtracking required.
  • Uses a parsing table to decide the next step.
  • Works for LL(1) grammars (Left-to-right scan, Leftmost derivation, 1 token lookahead).

Example:
Grammar:

pgsql
E → TE'
E'
→ +TE' | ε
T → id

LL(1) table helps decide which production to apply next.

 Bottom-Up Parsing

In bottom-up parsing, the parser starts with the input string and reduces it step by step to the start symbol using reverse derivations.

Types of Bottom-Up Parsing:

  • Shift-Reduce Parsing (LR Parsing)
  • Operator Precedence Parsing

 Shift-Reduce Parsing (LR Parsing)

  • Uses a stack to hold symbols.
  • Shift: Push tokens onto the stack.
  • Reduce: Replace a sequence of symbols with a non-terminal based on production rules.
  • Common types: LR(0), SLR(1), LALR(1), CLR(1).

Example:
Grammar:

r
E → E + T | T
T → id

For input id + id, the parser shifts tokens onto the stack and reduces them using rules.

 Key Differences: Top-Down vs. Bottom-Up Parsing

Feature Top-Down Parsing Bottom-Up Parsing
Start Point From the start symbol From the input string
Direction of Parsing Left-to-right derivation Right-to-left reduction
Backtracking May require (in Recursive Descent) No backtracking
Common Techniques Recursive Descent, Predictive Parsing (LL(1)) Shift-Reduce Parsing (LR, SLR, CLR, LALR)
Complexity Easier to implement More powerful but complex

 Conclusion

Top-Down Parsing is simpler but may not handle all types of grammars.
Bottom-Up Parsing is more powerful and can handle complex grammars.

 Would you like an example of LL(1) or LR(1) parsing? Let me know!

Leave a Reply

Your email address will not be published. Required fields are marked *

error: