Recursive Prolog predicate for reverse / palindrome

Can I get a recursive Prolog predicate having two arguments, called reverse, which returns the inverse of a list:

Sample query and expected result:

?- reverse([a,b,c], L).
L = [c,b,a].

A recursive Prolog predicate of two arguments called palindrome which returns true if the given list is palindrome.

Sample query with expected result:

?- palindrome([a,b,c]).
false.

?- palindrome([b,a,c,a,b]).
true.