Certificate for #5405 ⟨a, b | abbabba=babb⟩

Completion settings:

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

Axiom: abbabba=babb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

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

Simplify [1] abbabba=babb.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbabba=bc with [2] abb=c:

Critical pair: cabba=bc.

Reduce LHS:

Defines rule #2.

Referenced by [5].

Overlap of [4] cca=bc with [2] abb=c:

Critical pair: ccc=bcbb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [6].

Overlap of [2] abb=c with [5] bcbb=ccc:

Critical pair: abccc=ccbb.

Flip LHS and RHS.

Defines rule #4.