WORST_CASE(?,O(n^2)) Solution: --------- 0 :: [] -(0)-> A(0, 0) 0 :: [] -(0)-> A(1, 0) 0 :: [] -(0)-> A(6, 5) false :: [] -(0)-> A(0, 0) if_mod :: [A(0, 0) x A(3, 5) x A(0, 0)] -(2)-> A(0, 0) le :: [A(0, 0) x A(1, 0)] -(1)-> A(0, 0) minus :: [A(8, 5) x A(0, 0)] -(1)-> A(8, 5) mod :: [A(6, 5) x A(0, 0)] -(1)-> A(0, 0) s :: [A(0, 0)] -(0)-> A(0, 0) s :: [A(1, 0)] -(1)-> A(1, 0) s :: [A(13, 5)] -(8)-> A(8, 5) s :: [A(11, 5)] -(6)-> A(6, 5) s :: [A(8, 5)] -(3)-> A(3, 5) true :: [] -(0)-> A(0, 0) Cost Free Signatures: --------------------- 0 :: [] -(0)-> A_cf(0, 0) 0 :: [] -(0)-> A_cf(2, 0) 0 :: [] -(0)-> A_cf(1, 1) false :: [] -(0)-> A_cf(0, 0) false :: [] -(0)-> A_cf(1, 1) if_mod :: [A_cf(0, 0) x A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) if_mod :: [A_cf(1, 1) x A_cf(2, 0) x A_cf(0, 0)] -(1)-> A_cf(0, 0) le :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) le :: [A_cf(0, 0) x A_cf(0, 0)] -(1)-> A_cf(1, 1) minus :: [A_cf(5, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) minus :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) minus :: [A_cf(2, 0) x A_cf(0, 0)] -(1)-> A_cf(2, 0) mod :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) mod :: [A_cf(2, 0) x A_cf(0, 0)] -(2)-> A_cf(0, 0) s :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) s :: [A_cf(5, 0)] -(5)-> A_cf(5, 0) s :: [A_cf(2, 0)] -(2)-> A_cf(2, 0) s :: [A_cf(1, 0)] -(1)-> A_cf(1, 0) true :: [] -(0)-> A_cf(0, 0) true :: [] -(0)-> A_cf(1, 1)