Question: No matter how hard you study ( S ) , you need some rest ( R ) . Ideally, you should study no more 8

No matter how hard you study

(

),

you need some rest

(

) .

Ideally, you should study no more

8

hours a day, with at least

16

hours remaining, i

.

.,

you should have twice as much time to rest as to study. Prove that the following language is not regular: the language L of all sequences of Ss and Rs in which there are at least twice as many Rs as Ss

.

For example, the word SRSRRRR is in the language L

,

while the word SRSRR is not in L

.

Send solutions to Problem

5

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