Syllabus for QUIZ 1

Topics and Sample Questions for Quiz 1: (Chapters 1, 2 and 3 of the Textbook)
• Languages
  • Give the formal definition of a language
  • Operations on languages (complement, concatenation, power, reverse, star-closure)
  • Give the formal definition of a regular language
• Grammars
  • Give the formal definition of a grammar
  • Give a grammar that produces the following language ...
  • Describe the language generated by the grammar below ...
  • Equivalence of two grammars
• DFAs
  • Give the formal definition of a DFA
  • Give the formal definition of the language accepted by a DFA
  • Give a DFA that accepts the following language ...
  • Describe the language accepted by the DFA below ...
  • Minimize the (number of states of the) DFA below ...
• NFAs
  • Give the formal definition of a NFA
  • Give the formal definition of the language accepted by a NFA
  • Give an NFA that accepts the following language ...
  • Describe the language accepted by the NFA below ...
  • Convert the NFA (with lambda transitions) below into a DFA ...
• Regular Expressions
• Give the formal definition of a regular expression
• Give the formal definition of a language associated with a regular expression
• Give a regular expression for the following language ...
• Describe the language for the following regular expression ...
• Convert the regular expression below into a NFA ...
• Convert the DFA/NFA below into a regular expression ...

NOTE: The list above is representative of the problems that could be on the quiz, but not necessarly exhaustive