# hw4sol - CSE 105 Introduction to the Theory of Comptuation...

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CSE 105: Introduction to the Theory of Comptuation Fall 2010 Problem Set 4 Instructor: Daniele Micciancio Due on: Wed. Nov 3, 2010 Problem 1 Use JFLAP to design Push Down Automata for the following language: The set of all strings over the alphabet { a,b } that contain an unequal number of a ’s and b ’s (in any order). The automaton ﬁrst mark the bottom of the stack with a special symbol “x”. Whenever the stack contains only “x”, the automaton has read an equal number of “a” and “b”. The automaton keeps track of how many a’s and b’s have been read using the stack. The autmaton will be in state q 2 if it has read more a’s than b’s, and in state q 3 if is has read more b’s than a’s. Whenever the automaton has read the same number of a’s and b’s, it moves back to q 1 . Problem 2 Give a Context Free Grammar for the set of all strings over the alphabet { a,b } that are not palyndromes. The grammar has two variable symbols. T generates the set of all strings. S generates the strings that

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• Spring '10
• Mr.ElieNasr
• Formal language, Context-free grammar, context free grammar, Theory of Comptuation, Daniele Micciancio

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hw4sol - CSE 105 Introduction to the Theory of Comptuation...

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