Certificate for #4951 ⟨a, b | aaaabaa=abaa⟩

Completion settings:

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

Axiom: aaaabaa=abaa.

Referenced by [3].

Axiom: abaa=c.

Defines rule #4.

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

Simplify [1] aaaabaa=abaa.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaaabaa=c with [2] abaa=c:

Critical pair: aaac=c.

Defines rule #5.

Referenced by [6], [7].

Overlap of [2] abaa=c with [2] abaa=c:

Critical pair: abac=cbaa.

Defines rule #3.

Referenced by [7].

Overlap of [2] abaa=c with [4] aaac=c:

Critical pair: abc=cac.

Defines rule #1.

Overlap of [2] abaa=c with [4] aaac=c:

Critical pair: abac=caac.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.