Certificate for #5070 ⟨a, b | aaabbaa=aaab⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with b < a < c
• Auxiliary generators:
  1. aaab=c

Axiom: aaabbaa=aaab.

Referenced by [3].

Axiom: aaab=c.

Defines rule #2.

Referenced by [3], [4], [5], [6].

Simplify [1] aaabbaa=aaab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabbaa=c with [2] aaab=c:

Critical pair: cbaa=c.

Defines rule #3.

Referenced by [5], [6].

Overlap of [4] cbaa=c with [2] aaab=c:

Critical pair: cbc=cab.

Flip LHS and RHS.

Defines rule #1.

Overlap of [4] cbaa=c with [2] aaab=c:

Critical pair: cbac=caab.

Flip LHS and RHS.

Defines rule #4.