(0) Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:
*(x, *(minus(y), y)) → *(minus(*(y, y)), x)
Q is empty.
(1) DependencyPairsProof (EQUIVALENT transformation)
Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem.
(2) Obligation:
Q DP problem:
The TRS P consists of the following rules:
*1(x, *(minus(y), y)) → *1(minus(*(y, y)), x)
*1(x, *(minus(y), y)) → *1(y, y)
The TRS R consists of the following rules:
*(x, *(minus(y), y)) → *(minus(*(y, y)), x)
Q is empty.
We have to consider all minimal (P,Q,R)-chains.