Certificate for #14503 ⟨a, b | aaab=b, abbbb=a⟩

Completion settings:

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

Axiom: aaab=b.

Defines rule #2.

Referenced by [3], [4].

Axiom: abbbb=a.

Referenced by [3], [5].

Overlap of [1] aaab=b with [2] abbbb=a:

Critical pair: aaa=bbbb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [4].

Overlap of [3] bbbb=aaa with [3] bbbb=aaa:

Critical pair: baaa=aaab.

Reduce RHS:

Defines rule #3.

Referenced by [5].

Overlap of [2] abbbb=a with [4] baaa=b:

Critical pair: abbbb=aaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.