a(b(

a(c(

R

↳Dependency Pair Analysis

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

Furthermore,

R

↳DPs

→DP Problem 1

↳Polynomial 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)

Additionally, the following rules can be oriented:

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

a(c(x)) ->x

Used ordering: Polynomial ordering with Polynomial interpretation:

_{ }^{ }POL(c(x)_{1})= x _{1}_{ }^{ }_{ }^{ }POL(b(x)_{1})= 1 + x _{1}_{ }^{ }_{ }^{ }POL(a(x)_{1})= x _{1}_{ }^{ }_{ }^{ }POL(A(x)_{1})= x _{1}_{ }^{ }

resulting in one new DP problem.

R

↳DPs

→DP Problem 1

↳Polo

→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