Certificate for #5391 ⟨a, b | abbaaab=baba⟩

Completion settings:

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

Axiom: abbaaab=baba.

Referenced by [3].

Axiom: bbaaab=c.

Defines rule #5.

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

Overlap of [1] abbaaab=baba with [2] bbaaab=c:

Critical pair: ac=baba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [6].

Overlap of [3] baba=ac with [3] baba=ac:

Critical pair: baac=acba.

Defines rule #1.

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

Critical pair: bbaaac=cbaaab.

Defines rule #3.

Overlap of [2] bbaaab=c with [3] baba=ac:

Critical pair: bbaaaac=caba.

Defines rule #4.