Certificate for #5384 ⟨a, b | abbaaab=aabb⟩

Completion settings:

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

Axiom: abbaaab=aabb.

Referenced by [3].

Axiom: aabb=c.

Defines rule #6.

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

Simplify [1] abbaaab=aabb.

Reduce RHS:

Defines rule #7.

Referenced by [4], [5].

Overlap of [3] abbaaab=c with [2] aabb=c:

Critical pair: abbac=cb.

Defines rule #3.

Referenced by [7], [8].

Overlap of [2] aabb=c with [3] abbaaab=c:

Critical pair: ac=caaab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6], [7].

Overlap of [5] caaab=ac with [2] aabb=c:

Critical pair: cac=acb.

Flip LHS and RHS.

Defines rule #1.

Referenced by [8].

Overlap of [4] abbac=cb with [5] caaab=ac:

Critical pair: abbaac=cbaaab.

Flip LHS and RHS.

Defines rule #5.

Overlap of [4] abbac=cb with [6] acb=cac:

Critical pair: abbcac=cbb.

Flip LHS and RHS.

Defines rule #4.