Question: ( 1 0 points ) Given the following recursive definition of R ( string reverse ) , R = ( x a ) R =

(10

points

)

Given the following recursive definition of

R (

string reverse

),

^{R} =

(x a)^{R} = a x^{R},

for

a i n

and

x i n^{*}

prove that

(a x)^{R} = x^{R}

a using induction.

HINT: Apply mathematical induction on the length of

x .

(10 points) Given the following recursive definition of R(string reverse), R=

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