Term Rewriting System R:
[x, y]
app(id, x) -> x
app(plus, 0) -> id
app(app(plus, app(s, x)), y) -> app(s, app(app(plus, x), y))

Innermost Termination of R to be shown. 



   R
     ↳Dependency Pair Analysis



R contains the following Dependency Pairs:

APP(app(plus, app(s, x)), y) -> APP(s, app(app(plus, x), y))
APP(app(plus, app(s, x)), y) -> APP(app(plus, x), y)
APP(app(plus, app(s, x)), y) -> APP(plus, x)

Furthermore, R contains one SCC. 


   R
     ↳DPs
       →DP Problem 1
         ↳Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

APP(app(plus, app(s, x)), y) -> APP(app(plus, x), y)


Rules:


app(id, x) -> x
app(plus, 0) -> id
app(app(plus, app(s, x)), y) -> app(s, app(app(plus, x), y))


Strategy:

innermost



Innermost Termination of R could not be shown.
Duration:
0:00 minutes