MAYBE 0.18/0.20 MAYBE 0.18/0.20 0.18/0.20 Problem: 0.18/0.20 a__dbl(0()) -> 0() 0.18/0.20 a__dbl(s(X)) -> s(s(dbl(X))) 0.18/0.20 a__dbls(nil()) -> nil() 0.18/0.20 a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y)) 0.18/0.20 a__sel(0(),cons(X,Y)) -> mark(X) 0.18/0.20 a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z)) 0.18/0.20 a__indx(nil(),X) -> nil() 0.18/0.20 a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z)) 0.18/0.20 a__from(X) -> cons(X,from(s(X))) 0.18/0.20 a__dbl1(0()) -> 01() 0.18/0.20 a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X)))) 0.18/0.20 a__sel1(0(),cons(X,Y)) -> mark(X) 0.18/0.20 a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z)) 0.18/0.20 a__quote(0()) -> 01() 0.18/0.20 a__quote(s(X)) -> s1(a__quote(mark(X))) 0.18/0.20 a__quote(dbl(X)) -> a__dbl1(mark(X)) 0.18/0.20 a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y)) 0.18/0.20 mark(dbl(X)) -> a__dbl(mark(X)) 0.18/0.20 mark(dbls(X)) -> a__dbls(mark(X)) 0.18/0.20 mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2)) 0.18/0.20 mark(indx(X1,X2)) -> a__indx(mark(X1),X2) 0.18/0.20 mark(from(X)) -> a__from(X) 0.18/0.20 mark(dbl1(X)) -> a__dbl1(mark(X)) 0.18/0.20 mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2)) 0.18/0.20 mark(quote(X)) -> a__quote(mark(X)) 0.18/0.20 mark(0()) -> 0() 0.18/0.20 mark(s(X)) -> s(X) 0.18/0.20 mark(nil()) -> nil() 0.18/0.20 mark(cons(X1,X2)) -> cons(X1,X2) 0.18/0.20 mark(01()) -> 01() 0.18/0.20 mark(s1(X)) -> s1(mark(X)) 0.18/0.20 a__dbl(X) -> dbl(X) 0.18/0.20 a__dbls(X) -> dbls(X) 0.18/0.20 a__sel(X1,X2) -> sel(X1,X2) 0.18/0.20 a__indx(X1,X2) -> indx(X1,X2) 0.18/0.20 a__from(X) -> from(X) 0.18/0.20 a__dbl1(X) -> dbl1(X) 0.18/0.20 a__sel1(X1,X2) -> sel1(X1,X2) 0.18/0.20 a__quote(X) -> quote(X) 0.18/0.20 0.18/0.20 Proof: 0.18/0.20 Open 0.18/0.21 EOF