Certificate for #5731 ⟨a, b | aabbaa=aabba⟩

Completion settings:

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

Axiom: aabbaa=aabba.

Referenced by [3].

Axiom: aabba=c.

Defines rule #4.

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

Simplify [1] aabbaa=aabba.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabbaa=c with [2] aabba=c:

Critical pair: ca=c.

Defines rule #1.

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

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

Critical pair: aabbc=cabba.

Reduce RHS:

Referenced by [8].

Overlap of [4] ca=c with [2] aabba=c:

Critical pair: cc=cabba.

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [7], [8].

Overlap of [6] cbba=cc with [2] aabba=c:

Critical pair: cbbc=ccabba.

Reduce RHS:

Defines rule #3.

Simplify [5] aabbc=cbba.

Reduce RHS:

Defines rule #5.