Certificate for #4877 ⟨a, b | abbabbba=bba⟩

Completion settings:

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

Axiom: abbabbba=bba.

Referenced by [3].

Axiom: bba=c.

Defines rule #2.

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

Simplify [1] abbabbba=bba.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbabbba=c with [2] bba=c:

Critical pair: acbbba=c.

Reduce LHS:

Defines rule #1.

Referenced by [5].

Overlap of [2] bba=c with [4] acbc=c:

Critical pair: bbc=ccbc.

Defines rule #3.