Certificate for #401 ⟨a, b | ababaab=a⟩

Completion settings:

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

Axiom: ababaab=a.

Referenced by [3].

Axiom: ab=c.

Defines rule #1.

Referenced by [3].

Overlap of [1] ababaab=a with [2] ab=c:

Critical pair: cabaab=a.

Reduce LHS:

Defines rule #2.

Referenced by [4], [5].

Overlap of [3] ccac=a with [3] ccac=a:

Critical pair: ccaa=acac.

Flip LHS and RHS.

Defines rule #4.

Referenced by [5].

Overlap of [3] ccac=a with [4] acac=ccaa:

Critical pair: ccccaa=aac.

Flip LHS and RHS.

Defines rule #3.