YES

Problem:
 strict:
  f(g(x)) -> g(f(f(x)))
  f(h(x)) -> h(g(x))
  f'(s(x),y,y) -> f'(y,x,s(x))
 weak:
  rand(x) -> x
  rand(x) -> rand(s(x))

Proof:
 Matrix Interpretation Processor: dim=2
  
  interpretation:
                      [2 0]     [1 0]     [1 0]  
   [f'](x0, x1, x2) = [0 2]x0 + [0 0]x1 + [0 2]x2,
   
             [1 0]  
   [f](x0) = [2 0]x0,
   
             [1 0]  
   [s](x0) = [0 0]x0,
   
                [3 0]     [2]
   [rand](x0) = [0 2]x0 + [0],
   
               
   [g](x0) = x0,
   
             [1 1]  
   [h](x0) = [2 2]x0
  orientation:
             [1 0]     [1 0]              
   f(g(x)) = [2 0]x >= [2 0]x = g(f(f(x)))
   
             [1 1]     [1 1]           
   f(h(x)) = [2 2]x >= [2 2]x = h(g(x))
   
                  [2 0]    [2 0]     [2 0]    [2 0]                
   f'(s(x),y,y) = [0 0]x + [0 2]y >= [0 0]x + [0 2]y = f'(y,x,s(x))
   
             [3 0]    [2]         
   rand(x) = [0 2]x + [0] >= x = x
   
             [3 0]    [2]    [3 0]    [2]             
   rand(x) = [0 2]x + [0] >= [0 0]x + [0] = rand(s(x))
  problem:
   strict:
    f(g(x)) -> g(f(f(x)))
    f(h(x)) -> h(g(x))
    f'(s(x),y,y) -> f'(y,x,s(x))
   weak:
    rand(x) -> rand(s(x))
  Matrix Interpretation Processor: dim=2
   
   interpretation:
                       [2 1]     [1 2]     [1 0]     [1]
    [f'](x0, x1, x2) = [3 1]x0 + [1 0]x1 + [2 1]x2 + [0],
    
              [1 0]     [0]
    [f](x0) = [0 0]x0 + [2],
    
              [1 0]     [0]
    [s](x0) = [0 2]x0 + [2],
    
                 [1 0]     [1]
    [rand](x0) = [0 0]x0 + [0],
    
              [1 0]  
    [g](x0) = [0 0]x0,
    
              [1 3]     [2]
    [h](x0) = [0 0]x0 + [0]
   orientation:
              [1 0]    [0]    [1 0]              
    f(g(x)) = [0 0]x + [2] >= [0 0]x = g(f(f(x)))
    
              [1 3]    [2]    [1 0]    [2]          
    f(h(x)) = [0 0]x + [2] >= [0 0]x + [0] = h(g(x))
    
                   [2 2]    [2 2]    [3]    [2 2]    [2 1]    [1]               
    f'(s(x),y,y) = [3 2]x + [3 1]y + [2] >= [3 2]x + [3 1]y + [2] = f'(y,x,s(x))
    
              [1 0]    [1]    [1 0]    [1]             
    rand(x) = [0 0]x + [0] >= [0 0]x + [0] = rand(s(x))
   problem:
    strict:
     f(g(x)) -> g(f(f(x)))
     f(h(x)) -> h(g(x))
    weak:
     rand(x) -> rand(s(x))
   String Reversal Processor:
    strict:
     g(f(x)) -> f(f(g(x)))
     h(f(x)) -> g(h(x))
    weak:
     rand(x) -> s(rand(x))
    Matrix Interpretation Processor: dim=2
     
     interpretation:
                     [0]
      [f](x0) = x0 + [1],
      
                [1 0]     [0]
      [s](x0) = [0 0]x0 + [1],
      
                   [2 3]     [0]
      [rand](x0) = [0 0]x0 + [2],
      
                [1 0]  
      [g](x0) = [0 2]x0,
      
                [1 1]  
      [h](x0) = [0 0]x0
     orientation:
                [1 0]    [0]    [1 0]    [0]             
      g(f(x)) = [0 2]x + [2] >= [0 2]x + [2] = f(f(g(x)))
      
                [1 1]    [1]    [1 1]           
      h(f(x)) = [0 0]x + [0] >= [0 0]x = g(h(x))
      
                [2 3]    [0]    [2 3]    [0]             
      rand(x) = [0 0]x + [2] >= [0 0]x + [1] = s(rand(x))
     problem:
      strict:
       g(f(x)) -> f(f(g(x)))
      weak:
       rand(x) -> s(rand(x))
     String Reversal Processor:
      strict:
       f(g(x)) -> g(f(f(x)))
      weak:
       rand(x) -> rand(s(x))
      Matrix Interpretation Processor: dim=2
       
       interpretation:
                  [1 1]  
        [f](x0) = [0 1]x0,
        
                  [1 1]  
        [s](x0) = [0 0]x0,
        
                     [1 1]     [2]
        [rand](x0) = [2 2]x0 + [0],
        
                  [1 0]     [0]
        [g](x0) = [0 2]x0 + [2]
       orientation:
                  [1 2]    [2]    [1 2]    [0]             
        f(g(x)) = [0 2]x + [2] >= [0 2]x + [2] = g(f(f(x)))
        
                  [1 1]    [2]    [1 1]    [2]             
        rand(x) = [2 2]x + [0] >= [2 2]x + [0] = rand(s(x))
       problem:
        strict:
         
        weak:
         rand(x) -> rand(s(x))
       Qed