WORST_CASE(?,O(1))
* Step 1: Sum WORST_CASE(?,O(1))
    + Considered Problem:
        - Strict TRS:
            gcd(x,0()) -> x
            gcd(0(),y) -> y
            gcd(s(x),s(y)) -> if(<(x,y),gcd(s(x),-(y,x)),gcd(-(x,y),s(y)))
        - Signature:
            {gcd/2} / {-/2,0/0,</2,if/3,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {gcd} and constructors {-,0,<,if,s}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
* Step 2: NaturalMI WORST_CASE(?,O(1))
    + Considered Problem:
        - Strict TRS:
            gcd(x,0()) -> x
            gcd(0(),y) -> y
            gcd(s(x),s(y)) -> if(<(x,y),gcd(s(x),-(y,x)),gcd(-(x,y),s(y)))
        - Signature:
            {gcd/2} / {-/2,0/0,</2,if/3,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {gcd} and constructors {-,0,<,if,s}
    + Applied Processor:
        NaturalMI {miDimension = 1, miDegree = 1, miKind = Algebraic, uargs = UArgs, urules = URules, selector = Just any strict-rules}
    + Details:
        We apply a matrix interpretation of kind constructor based matrix interpretation:
        The following argument positions are considered usable:
          none
        
        Following symbols are considered usable:
          {gcd}
        TcT has computed the following interpretation:
            p(-) = [4]                  
            p(0) = [3]                  
            p(<) = [4]                  
          p(gcd) = [2] x1 + [2] x2 + [8]
           p(if) = [1]                  
            p(s) = [0]                  
        
        Following rules are strictly oriented:
            gcd(x,0()) = [2] x + [14]                                
                       > [1] x + [0]                                 
                       = x                                           
        
            gcd(0(),y) = [2] y + [14]                                
                       > [1] y + [0]                                 
                       = y                                           
        
        gcd(s(x),s(y)) = [8]                                         
                       > [1]                                         
                       = if(<(x,y),gcd(s(x),-(y,x)),gcd(-(x,y),s(y)))
        
        
        Following rules are (at-least) weakly oriented:
        
* Step 3: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            gcd(x,0()) -> x
            gcd(0(),y) -> y
            gcd(s(x),s(y)) -> if(<(x,y),gcd(s(x),-(y,x)),gcd(-(x,y),s(y)))
        - Signature:
            {gcd/2} / {-/2,0/0,</2,if/3,s/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {gcd} and constructors {-,0,<,if,s}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(1))