(0) Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:
f(X) → f(X)
c → a
c → b
Q is empty.
(1) AAECC Innermost (EQUIVALENT transformation)
We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is none
The TRS R 2 is
f(X) → f(X)
c → a
c → b
The signature Sigma is {
f,
c,
a,
b}
(2) Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:
f(X) → f(X)
c → a
c → b
The set Q consists of the following terms:
f(x0)
c
(3) DependencyPairsProof (EQUIVALENT transformation)
Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem.
(4) Obligation:
Q DP problem:
The TRS P consists of the following rules:
F(X) → F(X)
The TRS R consists of the following rules:
f(X) → f(X)
c → a
c → b
The set Q consists of the following terms:
f(x0)
c
We have to consider all minimal (P,Q,R)-chains.