Term Rewriting System R:

   [x]
   f(a, x) -> g(a, x)
   f(a, x) -> f(b, x)
   g(a, x) -> f(b, x)

Termination of R to be shown.


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

   f(a, x) -> g(a, x)
   f(a, x) -> f(b, x)
   g(a, x) -> f(b, x)

where the Polynomial interpretation:
POL(b) = 0
POL(g(x_1, x_2)) = x_1 + x_2
POL(a) = 1
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: 0.365 seconds.