4.24/1.46	YES
4.24/1.46	
4.24/1.46	Problem:
4.24/1.46	 strict:
4.24/1.46	  f(b(x),y) -> f(x,b(y))
4.24/1.46	  f(x,a(y)) -> f(a(x),y)
4.24/1.46	 weak:
4.24/1.46	  f(x,y) -> f(a(x),y)
4.24/1.46	  f(x,y) -> f(x,b(y))
4.24/1.46	
4.24/1.46	Proof:
4.24/1.46	 Matrix Interpretation Processor: dim=2
4.24/1.46	  
4.24/1.46	  interpretation:
4.24/1.46	             [1 0]  
4.24/1.46	   [a](x0) = [0 0]x0,
4.24/1.46	   
4.24/1.46	                 [2 1]     [1 0]  
4.24/1.46	   [f](x0, x1) = [0 0]x0 + [0 0]x1,
4.24/1.46	   
4.24/1.46	                  [0]
4.24/1.46	   [b](x0) = x0 + [2]
4.24/1.46	  orientation:
4.24/1.46	               [2 1]    [1 0]    [2]    [2 1]    [1 0]             
4.24/1.46	   f(b(x),y) = [0 0]x + [0 0]y + [0] >= [0 0]x + [0 0]y = f(x,b(y))
4.24/1.46	   
4.24/1.46	               [2 1]    [1 0]     [2 0]    [1 0]             
4.24/1.46	   f(x,a(y)) = [0 0]x + [0 0]y >= [0 0]x + [0 0]y = f(a(x),y)
4.24/1.46	   
4.24/1.46	            [2 1]    [1 0]     [2 0]    [1 0]             
4.24/1.46	   f(x,y) = [0 0]x + [0 0]y >= [0 0]x + [0 0]y = f(a(x),y)
4.24/1.46	   
4.24/1.46	            [2 1]    [1 0]     [2 1]    [1 0]             
4.24/1.46	   f(x,y) = [0 0]x + [0 0]y >= [0 0]x + [0 0]y = f(x,b(y))
4.24/1.46	  problem:
4.24/1.46	   strict:
4.24/1.46	    f(x,a(y)) -> f(a(x),y)
4.24/1.46	   weak:
4.24/1.46	    f(x,y) -> f(a(x),y)
4.24/1.46	    f(x,y) -> f(x,b(y))
4.24/1.46	  Matrix Interpretation Processor: dim=2
4.24/1.46	   
4.24/1.46	   interpretation:
4.24/1.46	                   [0]
4.24/1.46	    [a](x0) = x0 + [2],
4.24/1.46	    
4.24/1.46	                  [2 0]     [2 1]     [1]
4.24/1.46	    [f](x0, x1) = [0 0]x0 + [0 0]x1 + [0],
4.24/1.46	    
4.24/1.46	                
4.24/1.46	    [b](x0) = x0
4.24/1.46	   orientation:
4.24/1.46	                [2 0]    [2 1]    [3]    [2 0]    [2 1]    [1]            
4.24/1.46	    f(x,a(y)) = [0 0]x + [0 0]y + [0] >= [0 0]x + [0 0]y + [0] = f(a(x),y)
4.24/1.46	    
4.24/1.46	             [2 0]    [2 1]    [1]    [2 0]    [2 1]    [1]            
4.24/1.46	    f(x,y) = [0 0]x + [0 0]y + [0] >= [0 0]x + [0 0]y + [0] = f(a(x),y)
4.24/1.46	    
4.24/1.46	             [2 0]    [2 1]    [1]    [2 0]    [2 1]    [1]            
4.24/1.46	    f(x,y) = [0 0]x + [0 0]y + [0] >= [0 0]x + [0 0]y + [0] = f(x,b(y))
4.24/1.46	   problem:
4.24/1.46	    strict:
4.24/1.46	     
4.24/1.46	    weak:
4.24/1.46	     f(x,y) -> f(a(x),y)
4.24/1.46	     f(x,y) -> f(x,b(y))
4.24/1.46	   Qed
4.24/1.46	EOF