+(

+(*(

+(*(

R

↳Removing Redundant Rules

Removing the following rules from

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

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

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

where the Polynomial interpretation:

was used.

_{ }^{ }POL(*(x)_{1}, x_{2})= x _{1}+ x_{2}_{ }^{ }_{ }^{ }POL(+(x)_{1}, x_{2})= 1 + x _{1}+ 2·x_{2}_{ }^{ }

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