MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: active(cons(X1,X2)) -> cons(active(X1),X2) active(head(X)) -> head(active(X)) active(head(cons(X,XS))) -> mark(X) active(incr(X)) -> incr(active(X)) active(incr(cons(X,XS))) -> mark(cons(s(X),incr(XS))) active(nats()) -> mark(cons(0(),incr(nats()))) active(odds()) -> mark(incr(pairs())) active(pairs()) -> mark(cons(0(),incr(odds()))) active(s(X)) -> s(active(X)) active(tail(X)) -> tail(active(X)) active(tail(cons(X,XS))) -> mark(XS) cons(mark(X1),X2) -> mark(cons(X1,X2)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) head(mark(X)) -> mark(head(X)) head(ok(X)) -> ok(head(X)) incr(mark(X)) -> mark(incr(X)) incr(ok(X)) -> ok(incr(X)) proper(0()) -> ok(0()) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(head(X)) -> head(proper(X)) proper(incr(X)) -> incr(proper(X)) proper(nats()) -> ok(nats()) proper(odds()) -> ok(odds()) proper(pairs()) -> ok(pairs()) proper(s(X)) -> s(proper(X)) proper(tail(X)) -> tail(proper(X)) s(mark(X)) -> mark(s(X)) s(ok(X)) -> ok(s(X)) tail(mark(X)) -> mark(tail(X)) tail(ok(X)) -> ok(tail(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {active/1,cons/2,head/1,incr/1,proper/1,s/1,tail/1,top/1} / {0/0,mark/1,nats/0,odds/0,ok/1,pairs/0} - Obligation: innermost runtime complexity wrt. defined symbols {active,cons,head,incr,proper,s,tail ,top} and constructors {0,mark,nats,odds,ok,pairs} + Applied Processor: MI {miKind = Automaton Nothing, miDimension = 3, miUArgs = NoUArgs, miURules = NoURules, miSelector = Nothing} + Details: Incompatible MAYBE