Certificate for #1232 ⟨a, b | aabba=baab⟩

Completion settings:

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

Axiom: aabba=baab.

Referenced by [3].

Axiom: baab=c.

Defines rule #4.

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

Simplify [1] aabba=baab.

Reduce RHS:

Defines rule #5.

Referenced by [5], [6].

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

Critical pair: baac=caab.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] aabba=c with [2] baab=c:

Critical pair: aabc=cab.

Flip LHS and RHS.

Defines rule #2.

Overlap of [2] baab=c with [3] aabba=c:

Critical pair: bc=cba.

Flip LHS and RHS.

Defines rule #1.