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prac3-fall09

# prac3-fall09 - CMSC 330 Fall 2009 Practice Problems 3 1...

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CMSC 330, Fall 2009, Practice Problems 3 1. Context Free Grammars a. List the 4 components of a context free grammar. b. Describe the relationship between terminals, non-terminals, and productions. c. Define ambiguity. d. Describe the difference between scanning & parsing. 2. Describing Grammars a. Describe the language accepted by the following grammar: S ° abS | a b. Describe the language accepted by the following grammar: S ° aSb | ± c. Describe the language accepted by the following grammar: S ° bSb | A A ° aA | ± d. Describe the language accepted by the following grammar: S ° AS | B A ° aAc | Aa | ± B ° bBb | ± e. Describe the language accepted by the following grammar: S ° S and S | S or S | (S) | true | false f. Which of the previous grammars are left recursive? g. Which of the previous grammars are right recursive? h. Which of the previous grammars are ambiguous? Provide proof. 3. Creating Grammars a. Write a grammar for a x b y , where x = y b. Write a grammar for a x b y , where x > y c. Write a grammar for a x b y , where x = 2y d.

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