Certificate for #25532 ⟨a, b | ab=a, baaaa=aaa⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: baaaa=aaa.

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

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

Critical pair: aaaa=aaaaa.

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] baaaa=aaa with [3] aaaaa=aaaa:

Critical pair: baaaa=aaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [2] baaaa=aaa with [4] aaaa=aaa:

Critical pair: baaa=aaa.

Defines rule #3.