Certificate for #5717 ⟨a, b | aaaa=1, abbab=b⟩

Completion settings:

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

Axiom: aaaa=1.

Defines rule #4.

Referenced by [3], [7].

Axiom: abbab=b.

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

Overlap of [1] aaaa=1 with [2] abbab=b:

Critical pair: aaab=bbab.

Referenced by [5].

Overlap of [2] abbab=b with [2] abbab=b:

Critical pair: abbb=bbab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5], [6].

Simplify [3] aaab=bbab.

Reduce RHS:

Referenced by [6].

Overlap of [5] aaab=abbb with [2] abbab=b:

Critical pair: aab=abbbbab.

Reduce RHS:

Defines rule #3.

Referenced by [7].

Overlap of [1] aaaa=1 with [6] aab=bbb:

Critical pair: aabbb=b.

Reduce LHS:

Defines rule #1.