Certificate for #2216 ⟨a, b | aabaaba=aab⟩

Completion settings:

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

Axiom: aabaaba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #3.

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

Simplify [1] aabaaba=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabaaba=c with [2] aab=c:

Critical pair: caaba=c.

Reduce LHS:

Defines rule #1.

Referenced by [5], [6].

Overlap of [4] cca=c with [2] aab=c:

Critical pair: ccc=cab.

Flip LHS and RHS.

Defines rule #4.

Referenced by [6].

Overlap of [4] cca=c with [5] cab=ccc:

Critical pair: cccc=cb.

Flip LHS and RHS.

Defines rule #2.