(GOAL COMPLEXITY) (STARTTERM CONSTRUCTOR-BASED) (STRATEGY INNERMOST) (STRATEGY INNERMOST) (VAR b x y) (DATATYPES A = µX.< 0, s(X), true, false, logZeroError >) (SIGNATURES minus :: [A x A] -> A quot :: [A x A] -> A le :: [A x A] -> A inc :: [A] -> A log :: [A] -> A logIter :: [A x A] -> A if :: [A x A x A x A] -> A) (RULES minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) inc(s(x)) -> s(inc(x)) inc(0()) -> s(0()) log(x) -> logIter(x,0()) logIter(x,y) -> if(le(s(0()),x) ,le(s(s(0())),x) ,quot(x,s(s(0()))) ,inc(y)) if(false(),b,x,y) -> logZeroError() if(true(),false(),x,s(y)) -> y if(true(),true(),x,y) -> logIter(x,y))