f(f(

R

↳Dependency Pair Analysis

F(f(x, a),y) -> F(y, f(x,y))

F(f(x, a),y) -> F(x,y)

Furthermore,

R

↳DPs

→DP Problem 1

↳Usable Rules (Innermost)

**F(f( x, a), y) -> F(y, f(x, y))**

f(f(x, a),y) -> f(y, f(x,y))

innermost

As we are in the innermost case, we can delete all 1 non-usable-rules.

R

↳DPs

→DP Problem 1

↳UsableRules

→DP Problem 2

↳Instantiation Transformation

**F(f( x, a), y) -> F(y, f(x, y))**

none

innermost

On this DP problem, an Instantiation SCC transformation can be performed.

As a result of transforming the rule

one new Dependency Pair is created:

F(f(x, a),y) -> F(y, f(x,y))

F(f(x0, a), f(x'', f(x0, a))) -> F(f(x'', f(x0, a)), f(x0, f(x'', f(x0, a))))

The transformation is resulting in no new DP problems.

Duration:

0:00 minutes