.(.(

R

↳Dependency Pair Analysis

.'(.(x,y),z) -> .'(x, .(y,z))

.'(.(x,y),z) -> .'(y,z)

Furthermore,

R

↳DPs

→DP Problem 1

↳Polynomial Ordering

**.'(.( x, y), z) -> .'(y, z)**

.(.(x,y),z) -> .(x, .(y,z))

innermost

The following dependency pair can be strictly oriented:

.'(.(x,y),z) -> .'(y,z)

There are no usable rules for innermost that need to be oriented.

Used ordering: Polynomial ordering with Polynomial interpretation:

_{ }^{ }POL(.(x)_{1}, x_{2})= 1 + x _{2}_{ }^{ }_{ }^{ }POL(.'(x)_{1}, x_{2})= x _{1}_{ }^{ }

resulting in one new DP problem.

R

↳DPs

→DP Problem 1

↳Polo

→DP Problem 2

↳Dependency Graph

.(.(x,y),z) -> .(x, .(y,z))

innermost

Using the Dependency Graph resulted in no new DP problems.

Duration:

0:00 minutes