Term Rewriting System R:

   [x, y]
   f(s(x), y) -> f(x, s(x))
   f(x, s(y)) -> f(y, x)

Termination of R to be shown.


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

   f(s(x), y) -> f(x, s(x))
   f(x, s(y)) -> f(y, x)

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



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.352 seconds.