diff -r 789ade899a53 -r a2a7f65f538a thys/CountSnoc.thy~ --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/thys/CountSnoc.thy~ Tue Oct 07 18:43:29 2014 +0100 @@ -0,0 +1,29 @@ +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 (1::nat) [1,1,1]" +value "count_list (1::nat) [2,2,2]" +value "count_list (2::nat) [2,2,1]" + + + + +