Certificate for #2556 ⟨a, b | aabbba=baab⟩

Completion settings:

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

Axiom: aabbba=baab.

Referenced by [3].

Axiom: aabb=c.

Defines rule #2.

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

Overlap of [1] aabbba=baab with [2] aabb=c:

Critical pair: cba=baab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5], [6], [7], [8].

Overlap of [2] aabb=c with [3] baab=cba:

Critical pair: aabcba=caab.

Defines rule #5.

Referenced by [8].

Overlap of [3] baab=cba with [2] aabb=c:

Critical pair: bc=cbab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [7].

Overlap of [3] baab=cba with [3] baab=cba:

Critical pair: baacba=cbaaab.

Flip LHS and RHS.

Defines rule #7.

Overlap of [5] cbab=bc with [3] baab=cba:

Critical pair: cbacba=bcaab.

Defines rule #4.

Overlap of [4] aabcba=caab with [3] baab=cba:

Critical pair: aabccba=caabab.

Flip LHS and RHS.

Defines rule #6.