MAYBE
* Step 1: DependencyPairs MAYBE
    + Considered Problem:
        - Strict TRS:
            b() -> a()
            f(X) -> f(a())
        - Signature:
            {b/0,f/1} / {a/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {b,f} and constructors {a}
    + Applied Processor:
        DependencyPairs {dpKind_ = DT}
    + Details:
        We add the following dependency tuples:
        
        Strict DPs
          b#() -> c_1()
          f#(X) -> c_2(f#(a()))
        Weak DPs
          
        
        and mark the set of starting terms.
* Step 2: UsableRules MAYBE
    + Considered Problem:
        - Strict DPs:
            b#() -> c_1()
            f#(X) -> c_2(f#(a()))
        - Weak TRS:
            b() -> a()
            f(X) -> f(a())
        - Signature:
            {b/0,f/1,b#/0,f#/1} / {a/0,c_1/0,c_2/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {b#,f#} and constructors {a}
    + Applied Processor:
        UsableRules
    + Details:
        We replace rewrite rules by usable rules:
          b#() -> c_1()
          f#(X) -> c_2(f#(a()))
* Step 3: PredecessorEstimation MAYBE
    + Considered Problem:
        - Strict DPs:
            b#() -> c_1()
            f#(X) -> c_2(f#(a()))
        - Signature:
            {b/0,f/1,b#/0,f#/1} / {a/0,c_1/0,c_2/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {b#,f#} and constructors {a}
    + Applied Processor:
        PredecessorEstimation {onSelection = all simple predecessor estimation selector}
    + Details:
        We estimate the number of application of
          {1}
        by application of
          Pre({1}) = {}.
        Here rules are labelled as follows:
          1: b#() -> c_1()
          2: f#(X) -> c_2(f#(a()))
* Step 4: RemoveWeakSuffixes MAYBE
    + Considered Problem:
        - Strict DPs:
            f#(X) -> c_2(f#(a()))
        - Weak DPs:
            b#() -> c_1()
        - Signature:
            {b/0,f/1,b#/0,f#/1} / {a/0,c_1/0,c_2/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {b#,f#} and constructors {a}
    + Applied Processor:
        RemoveWeakSuffixes
    + Details:
        Consider the dependency graph
          1:S:f#(X) -> c_2(f#(a()))
             -->_1 f#(X) -> c_2(f#(a())):1
          
          2:W:b#() -> c_1()
             
          
        The following weak DPs constitute a sub-graph of the DG that is closed under successors. The DPs are removed.
          2: b#() -> c_1()
* Step 5: Failure MAYBE
  + Considered Problem:
      - Strict DPs:
          f#(X) -> c_2(f#(a()))
      - Signature:
          {b/0,f/1,b#/0,f#/1} / {a/0,c_1/0,c_2/1}
      - Obligation:
          innermost runtime complexity wrt. defined symbols {b#,f#} and constructors {a}
  + Applied Processor:
      EmptyProcessor
  + Details:
      The problem is still open.
MAYBE