Certificate for #1917 ⟨a, b | aaabbaba=ba⟩

Completion settings:

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

Axiom: aaabbaba=ba.

Referenced by [3].

Axiom: bba=c.

Defines rule #4.

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

Overlap of [1] aaabbaba=ba with [2] bba=c:

Critical pair: aaacba=ba.

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] bba=c with [3] aaacba=ba:

Critical pair: bbba=caacba.

Reduce LHS:

Defines rule #3.

Overlap of [3] aaacba=ba with [3] aaacba=ba:

Critical pair: aaacbba=baaacba.

Reduce LHS:

Reduce RHS:

Defines rule #1.