Certificate for #6560 ⟨a, b | aaa=a, bbbb=ab⟩

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #3.

Referenced by [3].

[2] ab=bbbb

Axiom: bbbb=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] bbbbbbbbbb=bbbb

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

aa a ab

Critical pair: aabbbb=ab.

Reduce LHS:

[2]a(ab)bbb
[2]⇒ (ab)bbbbbb
⇒ bbbbbbbbbb

Reduce RHS:

[2](ab)
⇒ bbbb

Defines rule #1.