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Algorithmic Automata Theory Exercise Sheet 3

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Algorithmic Automata Theory Exercise Sheet 3

Prof Roland Meyer TU Braunschweig

Dr. Prakash Saivasan Summer term 2017

Out: Apr 18 Due: Apr 24, 12:00

Exercise 1: Ehrenfeucht-Fra¨ıss´e Games

Letn ∈Nbe arbitrary. Which is the maximal number of roundsk ∈Nsuch that the duplicator has a winning strategy for Gk((ab)2n+1,(ba)2n+1) ?

Hint: First see what happens for n= 1 and n= 2.

Exercise 2: More Ehrenfeucht-Fr¨a´ısse Games

Letn∈N be arbitrary. For which k does the Duplicator win Gk(anban, anban+1)?

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