Certificate for #5134 ⟨a, b | aabaaba=aaab⟩

Completion settings:

• Reduction order:
  • Right-to-left recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1
• Auxiliary generators:
  1. aab=c

Axiom: aabaaba=aaab.

Referenced by [3].

Axiom: aab=c.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] aabaaba=aaab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabaaba=ac with [2] aab=c:

Critical pair: caaba=ac.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.