Certificate for #19211 ⟨a, b | aba=b, abbbbb=b⟩

Completion settings:

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

Axiom: aba=b.

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

Axiom: abbbbb=b.

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

Overlap of [1] aba=b with [1] aba=b:

Critical pair: abb=bba.

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aba=b with [2] abbbbb=b:

Critical pair: abb=bbbbbb.

Referenced by [6].

Overlap of [2] abbbbb=b with [3] bba=abb:

Critical pair: abbbabb=ba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [2] abbbbb=b with [4] abb=bbbbbb:

Critical pair: bbbbbbbbb=b.

Defines rule #1.

Referenced by [7].

Overlap of [2] abbbbb=b with [6] bbbbbbbbb=b:

Critical pair: ab=bbbbb.

Defines rule #2.