Certificate for #1956 ⟨a, b | aabaabba=ba⟩

Completion settings:

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

Axiom: aabaabba=ba.

Referenced by [3].

Axiom: aabaabb=c.

Referenced by [3], [4].

Overlap of [1] aabaabba=ba with [2] aabaabb=c:

Critical pair: ca=ba.

Flip LHS and RHS.

Defines rule #1.

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

Overlap of [2] aabaabb=c with [3] ba=ca:

Critical pair: aacaabb=c.

Defines rule #3.

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

Overlap of [3] ba=ca with [4] aacaabb=c:

Critical pair: bc=caacaabb.

Reduce RHS:

Defines rule #2.

Referenced by [6], [7].

Overlap of [4] aacaabb=c with [3] ba=ca:

Critical pair: aacaabca=ca.

Reduce LHS:

Defines rule #4.

Overlap of [4] aacaabb=c with [5] bc=cc:

Critical pair: aacaabcc=cc.

Reduce LHS:

Defines rule #5.