Lecture 14

Learning objectives

After this class, you should be able to:

1. Define the following: context free grammar, leftmost derivation, rightmost derivation, derivation or parse tree, partial deriation tree, yield of a tree,
2. Explain the relation between sentential forms and derivation trees.
3. Given a context free language, give a grammar for it.
4. Given a context free grammar and a string, give a derivation tree for it.
5. Prove the relationship mentioned in theorem 5.1 between sentential forms and derivation trees for context free grammars.

Reading assignment

1. Section 5.1.
2. Lecture 14-15 slides on Blackboard.
3. Page 140.

Exercises and review questions

• Exercises and review questions on current lecture's material
  1. Section 5.1, exercise #3.
  2. Section 5.1, exercise #7 a, b.
  3. Section 5.1, exercise #8 c.

• Questions on next lecture's material
  1. Give an example of an ambiguous grammar (different from that of the text book) and give an example to show that it is ambiguous.

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Last modified: 15 Jan 2014