Certificate for #13008 ⟨a, b | abb=aab, baaa=a⟩

Completion settings:

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

Axiom: abb=aab.

Defines rule #2.

Referenced by [3].

Axiom: baaa=a.

Referenced by [3], [4], [5], [6], [7].

Overlap of [1] abb=aab with [2] baaa=a:

Critical pair: aba=aabaaa.

Reduce RHS:

Referenced by [4].

Overlap of [3] aba=aaa with [2] baaa=a:

Critical pair: aa=aaaaa.

Flip LHS and RHS.

Referenced by [5].

Overlap of [2] baaa=a with [4] aaaaa=aa:

Critical pair: baa=aaa.

Referenced by [6].

Overlap of [2] baaa=a with [5] baa=aaa:

Critical pair: aaaa=a.

Defines rule #3.

Referenced by [7].

Overlap of [2] baaa=a with [6] aaaa=a:

Critical pair: ba=aa.

Defines rule #1.