5.28/1.76	YES
5.28/1.76	
5.28/1.76	Problem:
5.28/1.76	 strict:
5.28/1.76	  p(0(),y) -> y
5.28/1.76	  p(s(x),y) -> s(p(x,y))
5.28/1.76	 weak:
5.28/1.76	  p(x,y) -> p(x,s(y))
5.28/1.76	
5.28/1.76	Proof:
5.28/1.76	 Matrix Interpretation Processor: dim=2
5.28/1.76	  
5.28/1.76	  interpretation:
5.28/1.76	               
5.28/1.76	   [s](x0) = x0,
5.28/1.76	   
5.28/1.76	                 [1 0]       
5.28/1.76	   [p](x0, x1) = [0 0]x0 + x1,
5.28/1.76	   
5.28/1.76	         [2]
5.28/1.76	   [0] = [0]
5.28/1.76	  orientation:
5.28/1.76	                  [2]         
5.28/1.76	   p(0(),y) = y + [0] >= y = y
5.28/1.76	   
5.28/1.76	               [1 0]         [1 0]                 
5.28/1.76	   p(s(x),y) = [0 0]x + y >= [0 0]x + y = s(p(x,y))
5.28/1.76	   
5.28/1.76	            [1 0]         [1 0]                 
5.28/1.76	   p(x,y) = [0 0]x + y >= [0 0]x + y = p(x,s(y))
5.28/1.76	  problem:
5.28/1.76	   strict:
5.28/1.76	    p(s(x),y) -> s(p(x,y))
5.28/1.76	   weak:
5.28/1.76	    p(x,y) -> p(x,s(y))
5.28/1.76	  Matrix Interpretation Processor: dim=2
5.28/1.76	   
5.28/1.76	   interpretation:
5.28/1.76	                   [0]
5.28/1.76	    [s](x0) = x0 + [1],
5.28/1.76	    
5.28/1.76	                  [1 2]     [1 0]  
5.28/1.76	    [p](x0, x1) = [0 2]x0 + [0 0]x1
5.28/1.76	   orientation:
5.28/1.76	                [1 2]    [1 0]    [2]    [1 2]    [1 0]    [0]            
5.28/1.76	    p(s(x),y) = [0 2]x + [0 0]y + [2] >= [0 2]x + [0 0]y + [1] = s(p(x,y))
5.28/1.76	    
5.28/1.76	             [1 2]    [1 0]     [1 2]    [1 0]             
5.28/1.76	    p(x,y) = [0 2]x + [0 0]y >= [0 2]x + [0 0]y = p(x,s(y))
5.28/1.76	   problem:
5.28/1.76	    strict:
5.28/1.76	     
5.28/1.76	    weak:
5.28/1.76	     p(x,y) -> p(x,s(y))
5.28/1.76	   Qed
5.28/1.77	EOF