Certificate for #25211 ⟨a, b | aa=a, abbba=bbb

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] abbba=bbb

Axiom: abbba=bbb.

Referenced by [3], [4].

[3] abbb=bbb

Overlap of [1] aa=a with [2] abbba=bbb:

a a abbba

Critical pair: abbb=abbba.

Reduce RHS:

[2](abbba)
bbb

Defines rule #2.

Referenced by [4].

[4] bbba=bbb

Overlap of [2] abbba=bbb with [3] abbb=bbb:

abbba abbb

Critical pair: bbba=bbb.

Defines rule #3.