Certificate for #2309 ⟨a, b | abaabab=baa⟩

Completion settings:

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

Axiom: abaabab=baa.

Referenced by [3].

Axiom: baa=c.

Defines rule #3.

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

Simplify [1] abaabab=baa.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaabab=c with [2] baa=c:

Critical pair: acbab=c.

Defines rule #2.

Referenced by [5], [6].

Overlap of [2] baa=c with [4] acbab=c:

Critical pair: bac=ccbab.

Flip LHS and RHS.

Defines rule #1.

Overlap of [4] acbab=c with [2] baa=c:

Critical pair: acbac=caa.

Flip LHS and RHS.

Defines rule #4.