Certificate for #5125 ⟨a, b | aabaaab=baaa⟩

Completion settings:

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

Axiom: aabaaab=baaa.

Referenced by [3].

Axiom: baaa=c.

Defines rule #3.

Referenced by [3], [4], [5], [6], [7].

Simplify [1] aabaaab=baaa.

Reduce RHS:

Referenced by [4].

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

Critical pair: aacb=c.

Defines rule #2.

Referenced by [5], [6], [7].

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

Critical pair: bac=ccb.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: baac=cacb.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: aacc=caaa.

Flip LHS and RHS.

Defines rule #4.