diff -r 893f0314a88b -r fff2b8d356a5 thys/CountSnoc.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/thys/CountSnoc.thy Tue Oct 07 12:33:27 2014 +0100 @@ -0,0 +1,27 @@ +theory CountSnoc +imports Main +begin + + +datatype 'a myList = Nil | Cons 'a "'a myList" + +fun app_list :: "'a myList \ 'a myList \ 'a myList" where +"app_list Nil ys = ys" | +"app_list (Cons x xs) ys = Cons x (app_list xs ys)" + +fun rev_list :: "'a myList \ 'a myList" where +"rev_list Nil = Nil" | +"rev_list (Cons x xs) = app_list (rev_list xs) (Cons x Nil)" + +fun count_list :: "'a \ 'a list \ nat" where +"count_list x [] = 0" | +"count_list x (y#xs) = ( + if x = y then Suc(count_list x xs) + else count_list x xs)" + +value "count_list 2 [1,2,1,1]" + + + + +