Certificate for #5790 ⟨a, b | aabbba=abbab⟩

Completion settings:

• Auxiliary generators:
  1. c = abbab
• Reduction order:
  • Left-to-right recursive path with deg(a) = 0; deg(b) = deg(c) = 1, b < c

Axiom: aabbba=abbab.

Referenced by [3].

Axiom: abbab=c.

Defines rule #1.

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

Simplify [1] aabbba=abbab.

Reduce RHS:

Defines rule #2.

Referenced by [5], [6].

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

Critical pair: abbc=cbab.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] aabbba=c with [3] aabbba=c:

Critical pair: aabbbc=cabbba.

Flip LHS and RHS.

Defines rule #5.

Overlap of [3] aabbba=c with [2] abbab=c:

Critical pair: aabbbc=cbbab.

Flip LHS and RHS.

Defines rule #4.