Module #2a: Context-Free Grammars
& Languages

Objectives

1. Define a context-free grammar formally
   
2. Derive strings and sentential forms using context-free grammars
   
3. Create leftmost and rightmost derivations
   
4. Show the language of a grammar
   
5. Construct parse trees
   
6. Prove a language = L(G), given G
   
7. Use context-free grammars to describe programming languages
   
8. Define ambiguity
   

Topics

1. Backus Naur Form & Context-free Grammars
   
2. Terminals and Nonterminals
3. Sentential Forms
4. Derivations
   
5. Parse Trees
   
6. Ambiguity
   

Background Material

0. Text

Sudkamp: Chapter 3

1. Wikepedia: Context-Free Grammars
1. Grahne Text Slides: Pages 133-180
2. Busch, Shiri & Grahne: Context Free Grammars and Tape
3. Java Grammar
4. Other Language Grammars

Old Homeworks

Homework Summer 2006 [PDF]
Homework Summer 2006 Solutions [DOC] [PDF]