Certificate for #15738 ⟨a, b | aab=bb, aaaaa=b⟩

Completion settings:

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

Axiom: aab=bb.

Flip LHS and RHS.

Referenced by [3].

Axiom: aaaaa=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] bb=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] bb=aaaaaaa with [2] b=aaaaa:

Critical pair: aaaaab=aaaaaaa.

Reduce LHS:

Defines rule #1.