Certificate for #4628 ⟨a, b | aabaabba=aab⟩

Completion settings:

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

Axiom: aabaabba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #3.

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

Simplify [1] aabaabba=aab.

Reduce RHS:

Referenced by [4].

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

Critical pair: caabba=c.

Reduce LHS:

Defines rule #1.

Referenced by [5].

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

Critical pair: ccbc=cab.

Flip LHS and RHS.

Defines rule #2.