+(0,

+(s(

+(s(

R

↳Dependency Pair Analysis

+'(s(x),y) -> +'(x,y)

+'(s(x),y) -> +'(x, s(y))

Furthermore,

R

↳DPs

→DP Problem 1

↳Polynomial Ordering

**+'(s( x), y) -> +'(x, s(y))**

+(0,y) ->y

+(s(x),y) -> s(+(x,y))

+(s(x),y) -> +(x, s(y))

The following dependency pairs can be strictly oriented:

+'(s(x),y) -> +'(x, s(y))

+'(s(x),y) -> +'(x,y)

There are no usable rules w.r.t. to the implicit AFS that need to be oriented.

Used ordering: Polynomial ordering with Polynomial interpretation:

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

resulting in one new DP problem.

R

↳DPs

→DP Problem 1

↳Polo

→DP Problem 2

↳Dependency Graph

+(0,y) ->y

+(s(x),y) -> s(+(x,y))

+(s(x),y) -> +(x, s(y))

Using the Dependency Graph resulted in no new DP problems.

Duration:

0:00 minutes