Certificate for #2192 ⟨a, b | ab=aa, baaa=a⟩

Completion settings:

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

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

Axiom: baaa=a.

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

Overlap of [1] ab=aa with [2] baaa=a:

Critical pair: aa=aaaaa.

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] baaa=a with [3] aaaaa=aa:

Critical pair: baa=aaa.

Referenced by [5].

Overlap of [2] baaa=a with [4] baa=aaa:

Critical pair: aaaa=a.

Defines rule #3.

Referenced by [6].

Overlap of [2] baaa=a with [5] aaaa=a:

Critical pair: ba=aa.

Defines rule #2.