/home/nowonder/forschung/aprove/TPDB05/TRS/higher-order/AotoYam/Ex5TermProof.trs

The program

(VAR y x f)
(RULES
  app(app(add, 0), y) -> y
  app(app(add, app(s, x)), y) -> app(s, app(app(add, x), y))
  app(app(mult, 0), y) -> 0
  app(app(mult, app(s, x)), y) -> app(app(add, app(app(mult, x), y)), y)
  app(app(app(rec, f), x), 0) -> x
  app(app(app(rec, f), x), app(s, y)) -> app(app(f, app(s, y)), app(app(app(rec, f), x), y))
  fact -> app(app(rec, mult), app(s, 0))
)

Submit to AProVE Web Frontend

Edit in AProVE Web Frontend