Term Rewriting System R:

   [X, Y]
   f(s(X), Y) -> h(s(f(h(Y), X)))

Termination of R to be shown.


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

   f(s(X), Y) -> h(s(f(h(Y), X)))

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



All Rules of R can be deleted.



Termination of R successfully shown.


Duration: 0.360 seconds.