Certificate for #14534 ⟨a, b | aaab=b, bbbba=b⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = 0; deg(a) = 1

Axiom: aaab=b.

Defines rule #3.

Referenced by [3].

Axiom: bbbba=b.

Referenced by [3], [4], [5], [6], [7].

Overlap of [2] bbbba=b with [1] aaab=b:

Critical pair: bbbbb=baab.

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] bbbba=b with [3] baab=bbbbb:

Critical pair: bbbbbbbb=bab.

Flip LHS and RHS.

Referenced by [5], [6].

Overlap of [2] bbbba=b with [4] bab=bbbbbbbb:

Critical pair: bbbbbbbbbbb=bb.

Referenced by [6].

Overlap of [4] bab=bbbbbbbb with [2] bbbba=b:

Critical pair: bab=bbbbbbbbbbba.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [7], [8].

Overlap of [2] bbbba=b with [6] bba=bbbbbbbb:

Critical pair: bbbbbbbbbb=b.

Defines rule #1.

Referenced by [8].

Overlap of [7] bbbbbbbbbb=b with [6] bba=bbbbbbbb:

Critical pair: bbbbbbbbbbbbbbbb=ba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.