/home/nowonder/forschung/aprove/TPDB05/TRS/AG01/#4.30b.trs

The program

(from AG01 4.30b)
(VAR x y)
(RULES
le(0,y) -> true
le(s(x),0) -> false
le(s(x),s(y)) -> le(x,y)
minus(x,0) -> x
minus(s(x),s(y)) -> minus(x,y)
mod(0,y) -> 0
mod(s(x),0) -> 0
mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y))
if_mod(true,x,y) -> mod(minus(x,y),y)
if_mod(false,s(x),s(y)) -> s(x)
)
(STRATEGY INNERMOST)

Submit to AProVE Web Frontend

Edit in AProVE Web Frontend