*(i(

*(1,

*(

*(*(

R

↳Dependency Pair Analysis

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

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

Furthermore,

R

↳DPs

→DP Problem 1

↳Argument Filtering and Ordering

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

*(i(x),x) -> 1

*(1,y) ->y

*(x, 0) -> 0

*(*(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 w.r.t. to the AFS that need to be oriented.

Used ordering: Homeomorphic Embedding Order with EMB

resulting in one new DP problem.

Used Argument Filtering System:

*'(x,_{1}x) -> *'(_{2}x,_{1}x)_{2}

*(x,_{1}x) -> *(_{2}x,_{1}x)_{2}

R

↳DPs

→DP Problem 1

↳AFS

→DP Problem 2

↳Dependency Graph

*(i(x),x) -> 1

*(1,y) ->y

*(x, 0) -> 0

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

innermost

Using the Dependency Graph resulted in no new DP problems.

Duration:

0:00 minutes