Certificate for #2968 ⟨a, b | ab=a, baaaa=a⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: baaaa=a.

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

Overlap of [1] ab=a with [2] baaaa=a:

Critical pair: aa=aaaaa.

Flip LHS and RHS.

Referenced by [4].

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

Critical pair: baa=aa.

Referenced by [5], [6].

Overlap of [2] baaaa=a with [4] baa=aa:

Critical pair: aaaa=a.

Defines rule #3.

Referenced by [6].

Overlap of [4] baa=aa with [5] aaaa=a:

Critical pair: ba=aaaa.

Reduce RHS:

Defines rule #2.