Certificate for #4787 ⟨a, b | abaabaab=baa⟩

Completion settings:

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

Axiom: abaabaab=baa.

Referenced by [3].

Axiom: baa=c.

Defines rule #2.

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

Simplify [1] abaabaab=baa.

Reduce RHS:

Referenced by [4].

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

Critical pair: acbaab=c.

Reduce LHS:

Defines rule #4.

Referenced by [5], [6].

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

Critical pair: bac=cccb.

Flip LHS and RHS.

Defines rule #3.

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

Critical pair: accc=caa.

Flip LHS and RHS.

Defines rule #1.