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A language class is a set of languages. This course will cover several language classes (regular, context free, etc), and as a warm-up to

 

A language class is a set of languages. This course will cover several language classes (regular, context free, etc), and as a warm-up to this concept, consider the class of finite languages. Assume that E is a finite, nonempty alphabet. Let FINITE be the class of all finite languages over E, and let coFINITE = {L|LC is FINITE}, That is the set-complement of L is a finite language. Use an alphabet of {0,1) or {a,b} or {ab.c} a. Give an example of a finite language. Given an example of a co-finite language. b. Are there any languages that are both finite and co-finite? If yes, give an example. If no, explain why not. c. Are there any languages NOT in the set FINITE U co-FINITE? If yes, give an example. If no, explain

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