and(not(not(

R

↳Dependency Pair Analysis

AND(not(not(x)),y, not(z)) -> AND(y, band(x,z),x)

Furthermore,

R

↳DPs

→DP Problem 1

↳Polynomial Ordering

**AND(not(not( x)), y, not(z)) -> AND(y, band(x, z), x)**

and(not(not(x)),y, not(z)) -> and(y, band(x,z),x)

The following dependency pair can be strictly oriented:

AND(not(not(x)),y, not(z)) -> AND(y, band(x,z),x)

Additionally, the following rule can be oriented:

and(not(not(x)),y, not(z)) -> and(y, band(x,z),x)

Used ordering: Polynomial ordering with Polynomial interpretation:

_{ }^{ }POL(and(x)_{1}, x_{2}, x_{3})= 1 _{ }^{ }_{ }^{ }POL(band(x)_{1}, x_{2})= 0 _{ }^{ }_{ }^{ }POL(not(x)_{1})= 1 _{ }^{ }_{ }^{ }POL(AND(x)_{1}, x_{2}, x_{3})= x _{1}+ x_{2}_{ }^{ }

resulting in one new DP problem.

R

↳DPs

→DP Problem 1

↳Polo

→DP Problem 2

↳Dependency Graph

and(not(not(x)),y, not(z)) -> and(y, band(x,z),x)

Using the Dependency Graph resulted in no new DP problems.

Duration:

0:00 minutes