Certificate for #5347 ⟨a, b | ababaab=baaa⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(c) = 0; deg(a) = 1; deg(b) = 2
• Auxiliary generators:
  1. ab=c

Axiom: ababaab=baaa.

Referenced by [3].

Axiom: ab=c.

Defines rule #3.

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

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

Critical pair: cabaab=baaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] ab=c with [3] baaa=ccac:

Critical pair: accac=caaa.

Flip LHS and RHS.

Defines rule #1.

Overlap of [3] baaa=ccac with [2] ab=c:

Critical pair: baac=ccacb.

Flip LHS and RHS.

Defines rule #4.