Certificate for #14530 ⟨a, b | aaab=b, bbbaa=b⟩

Completion settings:

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

Axiom: aaab=b.

Defines rule #4.

Referenced by [3], [4].

Axiom: bbbaa=b.

Referenced by [3], [4], [5], [6], [7], [8].

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

Critical pair: bbbb=bab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

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

Critical pair: bbbab=baab.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5], [6].

Overlap of [2] bbbaa=b with [4] baab=bbbbbb:

Critical pair: bbbbbbbb=bb.

Referenced by [6], [7].

Overlap of [4] baab=bbbbbb with [2] bbbaa=b:

Critical pair: baab=bbbbbbbbaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [7].

Overlap of [5] bbbbbbbb=bb with [6] bbaa=bbbbbb:

Critical pair: bbbbbbbbbbbbb=bbbaa.

Reduce LHS:

Reduce RHS:

Defines rule #1.

Referenced by [8].

Overlap of [7] bbbbbbb=b with [2] bbbaa=b:

Critical pair: bbbbb=baa.

Flip LHS and RHS.

Defines rule #3.