Certificate for #3773 ⟨a, b | aaaa=bb, abbb=1⟩

Completion settings:

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

Axiom: aaaa=bb.

Flip LHS and RHS.

Referenced by [2], [3].

Axiom: abbb=1.

Reduce LHS:

Referenced by [3], [4].

Overlap of [2] aaaaab=1 with [1] bb=aaaa:

Critical pair: aaaaaaaaa=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [2] aaaaab=1 with [3] b=aaaaaaaaa:

Critical pair: aaaaaaaaaaaaaa=1.

Defines rule #1.