Certificate for #23318 ⟨a, b | aaa=1, bbab=abbb⟩

Back:⟨a, b | aaa=1, bbab=abbb⟩

Completion settings:

[1] aaa=1

Axiom: aaa=1.

Defines rule #1.

Referenced by [3].

[2] abbb=bbab

Axiom: bbab=abbb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aabbab=bbb

Overlap of [1] aaa=1 with [2] abbb=bbab:

aa a abbb

Critical pair: aabbab=bbb.

Defines rule #3.

Referenced by [4].

[4] abbabbab=bbbbb

Overlap of [3] aabbab=bbb with [2] abbb=bbab:

aabb ab abbb

Critical pair: aabbbbab=bbbbb.

Reduce LHS:

[2]a(abbb)bab
⇒ abbabbab

Defines rule #4.