Certificate for #5389 ⟨a, b | abbaaab=baaa⟩

Completion settings:

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

Axiom: abbaaab=baaa.

Referenced by [3].

Axiom: baaa=c.

Defines rule #4.

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

Simplify [1] abbaaab=baaa.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbaaab=c with [2] baaa=c:

Critical pair: abcb=c.

Defines rule #2.

Referenced by [5], [6].

Overlap of [2] baaa=c with [4] abcb=c:

Critical pair: baac=cbcb.

Defines rule #3.

Overlap of [4] abcb=c with [2] baaa=c:

Critical pair: abcc=caaa.

Defines rule #1.