CS412/CS413 Introduction to Compilers Tim Teitelbaum
CS412/CS413
Introduction to Compilers Tim Teitelbaum
Lecture 6: Top Down Parsing February 1, 2008
CS 412/413 Spring 2008
Introduction to Compilers
1
Outline
? Top-down parsing ? LL(k) grammars ? Transforming a grammar into LL form ? Recursive-descent parsing
CS 412/413 Spring 2008
Introduction to Compilers
2
Where We Are
Source code
if (b == 0) a = b;
(character stream)
Token stream
if ( b == 0 ) a = b ;
Abstract Syntax Tree (AST)
if
==
=
b 0a b
Lexical Analysis
Syntax Analysis (Parsing)
Semantic Analysis
CS 412/413 Spring 2008
Introduction to Compilers
3
LL(k) Parsing
? LL(k) parsing goal
? Determine a Leftmost derivation of the input while reading the input from Left to right while looking ahead at most k input tokens
? Beginning with the start symbol, grow a parse tree topdown in left-to-right preorder while looking ahead at most k input tokens beyond the input prefix matched by the parse tree derived so far
CS 412/413 Spring 2008
Introduction to Compilers
4
Intuition for LL(k)
S
? S * xA
A
x
CS 412/413 Spring 2008
Introduction to Compilers
5
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