and(not(not(

R

↳Removing Redundant Rules

Removing the following rules from

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

where the Polynomial interpretation:

was used.

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

All Rules of

R

↳RRRPolo

→TRS2

↳Overlay and local confluence Check

The TRS is overlay and locally confluent (all critical pairs are trivially joinable).Hence, we can switch to innermost.

R

↳RRRPolo

→TRS2

↳OC

→TRS3

↳Dependency Pair Analysis

Duration:

0:00 minutes