Term Rewriting System R:

   [x, y]
   f(g(h(x, y)), f(a, a)) -> f(h(x, x), g(f(y, a)))

Termination of R to be shown.


Removing the following rules from R which fullfill a polynomial ordering: 

   f(g(h(x, y)), f(a, a)) -> f(h(x, x), g(f(y, a)))

where the Polynomial interpretation:
POL(g(x_1)) = 1 + 2*x_1
POL(a) = 0
POL(h(x_1, x_2)) = x_1 + x_2
POL(f(x_1, x_2)) = 2*x_1 + x_2
was used. 



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.387 seconds.