MAYBE 0.08/0.19 MAYBE 0.08/0.19 0.08/0.19 Problem: 0.08/0.19 le(0(),y) -> true() 0.08/0.19 le(s(x),0()) -> false() 0.08/0.19 le(s(x),s(y)) -> le(x,y) 0.08/0.19 eq(0(),0()) -> true() 0.08/0.19 eq(0(),s(y)) -> false() 0.08/0.19 eq(s(x),0()) -> false() 0.08/0.19 eq(s(x),s(y)) -> eq(x,y) 0.08/0.19 minsort(nil()) -> nil() 0.08/0.19 minsort(cons(x,xs)) -> cons(min(cons(x,xs)),minsort(rm(min(cons(x,xs)),cons(x,xs)))) 0.08/0.19 min(nil()) -> 0() 0.08/0.19 min(cons(x,nil())) -> x 0.08/0.19 min(cons(x,cons(y,xs))) -> if1(le(x,y),x,y,xs) 0.08/0.19 if1(true(),x,y,xs) -> min(cons(x,xs)) 0.08/0.19 if1(false(),x,y,xs) -> min(cons(y,xs)) 0.08/0.19 rm(x,nil()) -> nil() 0.08/0.19 rm(x,cons(y,xs)) -> if2(eq(x,y),x,y,xs) 0.08/0.19 if2(true(),x,y,xs) -> rm(x,xs) 0.08/0.19 if2(false(),x,y,xs) -> cons(y,rm(x,xs)) 0.08/0.19 0.08/0.19 Proof: 0.08/0.19 Open 0.08/0.19 EOF