a(b(

a(c(

R

↳Dependency Pair Analysis

A(b(x)) -> A(x)

Furthermore,

R

↳DPs

→DP Problem 1

↳Argument Filtering and Ordering

**A(b( x)) -> A(x)**

a(b(x)) -> b(a(x))

a(c(x)) ->x

The following dependency pair can be strictly oriented:

A(b(x)) -> A(x)

The following rules can be oriented:

a(b(x)) -> b(a(x))

a(c(x)) ->x

Used ordering: Homeomorphic Embedding Order with EMB

resulting in one new DP problem.

Used Argument Filtering System:

A(x) -> A(_{1}x)_{1}

b(x) -> b(_{1}x)_{1}

a(x) ->_{1}x_{1}

c(x) -> c(_{1}x)_{1}

R

↳DPs

→DP Problem 1

↳AFS

→DP Problem 2

↳Dependency Graph

a(b(x)) -> b(a(x))

a(c(x)) ->x

Using the Dependency Graph resulted in no new DP problems.

Duration:

0:00 minutes