Certificate for #18735 ⟨a, b | aaa=a, abbbab=b⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aaa=a.

Defines rule #1.

Referenced by [3].

Axiom: abbbab=b.

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

Overlap of [1] aaa=a with [2] abbbab=b:

Critical pair: aab=abbbab.

Reduce RHS:

Defines rule #2.

Referenced by [5].

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

Critical pair: abbbb=bbbab.

Flip LHS and RHS.

Referenced by [5], [7].

Overlap of [3] aab=b with [2] abbbab=b:

Critical pair: ab=bbbab.

Reduce RHS:

Flip LHS and RHS.

Referenced by [6], [7].

Overlap of [2] abbbab=b with [5] abbbb=ab:

Critical pair: abbbab=bbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Simplify [4] bbbab=abbbb.

Reduce RHS:

Defines rule #4.