Certificate for #4708 ⟨a, b | aabbabba=aab⟩

Completion settings:

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

Axiom: aabbabba=aab.

Referenced by [3].

Axiom: bb=c.

Defines rule #4.

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

Overlap of [1] aabbabba=aab with [2] bb=c:

Critical pair: aacabba=aab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [2] bb=c with [2] bb=c:

Critical pair: bc=cb.

Flip LHS and RHS.

Defines rule #1.

Overlap of [3] aab=aacaca with [2] bb=c:

Critical pair: aac=aacacab.

Flip LHS and RHS.

Defines rule #3.