Chapter 0: Q9E (page 27)
Write a formal description of the following graph.
The formal description of the graph is:
A graph G can be defined as the collection of finite vertices and edges.
The set of finite vertices V are .
The set of finite edges are .
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Give a counter example to show that the following construction fails to prove that the class of context-free languages is closed under star. Let A be a CFL that is generated by the CFG . Add the new rule and call the resulting grammar. This grammar is supposed to generate A*.
Show that if is a CFG in Chomsky normal form, then for any string of length exactly steps are required for any derivation of .
Is the statement a member of Th? Why or why not? What about the statement ?
Let. Use the result of Problem 7.47 to show that MAX-CLIQUEis DP-complete.
a). Let C be a context-free language and R be a regular language. Prove that the languageis context free.
b). Let A= { contains equal numbers of }. Use part to show that A is not a CFL
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